Copyright © 1998, Clayton. ALL Rights Reserved Babysitting - Jenny Disclaimer: This is a work of fiction. No illegal activity described herein was carried out, this document details fantasies that took place late at night when I was alone in bed. I firmly believe that no fifteen minutes of pleasure is worth the innocence of a child. Besides, I derive much pleasure from the company of children, playing with them or simply watching them at play, I am not going to risk this for any momentarily heightened sense of pleasure. If you are under the age of eighteen the law says I've got to tell you to go away, so, "Go away!" Common sense says you're going to ignore me, so don't blame me if you go blind, your parents find you in possession of this document or your space bar to stops working. If this type of material is illegal in your city, state, country, then see above, substituting "law enforcement agency" in place of "parents". Introduction: Between now and the new year I will be unable to do much writing. Instead I will be proofreading this story, and possibly a couple of others, and publishing a chapter or so every day or two. When I next have the time to write, your responses will determine which stories I will work on. So if you have a preference for which story you would like me to finish first, send me an email or five. __ _ / ) // _/_ / // __. , , / ______ (__/ feeling you up. Next thing I do is compliment you on those two cute little bumps that are sprouting on your chest. You're shy, you're embarrassed, but you're also a little bit proud because a man likes your new boobies. So when I reach up and give one of them a little pinch, you just giggle. "The next time you show off your new undies, I compliment them too. I say they make you look grown up. Uh-oh, a man likes your boobies, *and* he's called you grown up. We're starting to get really proud now. You still haven't told anybody because you think it's fun. The next time you come around, you wear your sexiest undies and a really short skirt so you can show them off all the time, and you wear a blouse with the top two buttons undone so you can give me peeks at your cute little boobies. "This time I say I like these undies even better, because they show off the shape of your body so nicely. I haven't been rude, but you know exactly what I mean, and that's three things to be proud of. Feeling really daring, you bend over so I can see right down the front of your shirt, and it feels good just knowing I'm watching because you know I like them. "Now I don't just reach up and touch them, you might not like it, so I do something sneaky. I tickle you, but while I've got my fingers under your arms my thumbs are pressing into your boobs, and after a while I stop tickling but keep my thumbs where they are. And guess what that feels nice too, but I don't need to tell you that, you already know." Blushing a little, she asks, "How did you know?" "It's an open secret." I chuckle, "Girl starts growing boobs. Girl plays with boobs. Girl find out it's nice and does it every chance she gets. Anyway I've now touched you in three places I shouldn't, but I've done it through your clothes so you still feel safe, and you don't tell. "At this stage I could go for broke, and it might even work, but I'm smart, I still keep up the little touches, but I'm always careful to make a bit of a joke of it, do it playfully so it can be laughed off. I'm waiting for *you* to make the next move. And it doesn't take long. It feels nice when I touch you in these places, so you start trying to think of ways to make it happen, and the easiest way is for you to rub your boob on my arm while I'm explaining something to you. "It might not seem like much, but I've now got a hook into you, you're not just letting me do something to you any more. You've initiated something yourself. You've become an active participant." Her mouth falls open as a look of slightly horrified comprehension creeps over her features, and I bore onwards. "I smile to myself when you do it, but I don't say anything, the time's not right yet, instead I pretend I haven't noticed. 'Ah-ha' you think, you've gotten away with it, so you do it again. Maybe you even contrive to rub something else up against me, but I still don't notice. That's two hooks. At first it's enough just to use me to make yourself feel good, but I keep on pretending I haven't noticed, and you start to get mad. Eventually you get mad enough to do something to make me notice. Yet another hook, because now we both know that the other one knows. "However, I'm not quite ready to reel you in just yet, you might still slip off the hooks and tell on me. I've got to get those hooks set a little deeper. So the next time you show off your boobs to me, I reach up and tickle you in that special way, but the tickling only lasts a second, and what you're really thinking about is my thumbs, and what they are doing. This time you rub back, and since we both know what's really happening, you don't object when I start using my fingers as well. Hook number four, almost ready. "One day, while I'm playing with your boobs, I say it's a pity I can't see them better, and since you've been showing them to me for the last couple of weeks anyway, so you don't mind when I start to unbutton your blouse. Even if you do object, all I have to do is remind you that I've seen them anyway, I just want a better look. Now this is where I might start taking up the slack in the line. "If you still object, I say that you shouldn't have shown them to me if you didn't want me to look properly. There's the first step in making it your fault. Now what do you do?" "I tell Mum, but boy will she be mad at me." Jenny replies. "Good answer." I say approvingly, "But maybe you're feeling just scared enough, that you decide that it's only a little thing, and maybe you should just give in. So now I've got your shirt open, and I'm looking at your boobs. What comes next." "You touch them again?" "Uh-uh," I shake my head, "Those hooks are still pretty loosely set, so all I do is say how pretty they are and how they mean that you're becoming a woman. Guess what? That's another thing for you to be proud about. Now letting me see your boobs isn't too bad, so the next time I ask, you don't say a thing and just open your blouse, and pretty soon I've got you walking around like that all the time. Two hooks at once this time, you're really proud of your boobs, *and* you walking around like that, is something else that you don't want your mum to find out about. "Now at some stage you're probably going to rub your boob up against my arm again, and that's my signal. I can tickle you again, but this time my hands are inside your shirt, and pretty soon I'm playing with your bare titties. Oh boy does that feel good. Now every time you visit, I can slip my hand inside your shirt whenever I want. Sneaky time again. I stop doing it. By this time you've gotten used to it. You like it. So you ask me to do it." "Another hook." Jenny says. "And this time you've swallowed it, it's a big one and it's set good and solidly. Now I can start to make bargains with you. Because you want something from me, I can ask for something in return. I want to see your knickers, and I want to see them properly, so off comes the skirt. Since you've already done that before, you don't even murmur. But I make a fuss, you're shirt's in the way. So off it comes too. "So, now if you want me to play with your boobs, you have to strip down to your undies, and stay like that until it's time to go home. Another time and I ask you if you'd like to feel what it's like for a baby to suck milk. Maybe you're curious and you agree without any more prompting. If you don't agree, I can start tugging on some of those hooks I've got set in you, and I remind you that your mum wouldn't like to hear about the things you've been doing. And I make it very clear that it's been *you* that's done them. Either way, I've got a mouth full of titty, and you find out that if my bare fingers on your bare boobs felt great, then my tongue feels out of this world. "Do you see where this is going, I've got you walking around in nothing but your undies, I'm kissing your boobs, my hands aren't outside your undies any more when I squeeze your bum, and they're creeping around towards the front. You're starting to feel scared now, but you're even more scared of your mum, because every time you say no, I remind you that you started it, you wanted it. I don't quite say it outright, but everything I do say is intended to make you believe that it's *your* fault. "It's not really true, what you did was only a bit of fun, you were just being a little bit naughty showing of your new undies. It was me who kept on encouraging you to be a little bit naughtier, pushing you, but I did it so skilfully that you're half convinced that it *was* all your own idea and I've got you thinking it's your fault. You're scared and confused, and you can't tell anyone, because you're scared shitless that you are the one who's going to get the blame. Finally one day soon..." I leave it hanging, not quite willing to say what might come next. "I'm screwed." she finishes for me, trying to make a joke of it in order to cover her fear. "Literally," I agree, "but it's not a joke is it?" "I guess not." she murmurs. "And I haven't finished yet. I want Vanessa too, and this time it's easier, I've got you to help. I give you that magazine I tossed up on top of the wardrobe and tell you to show it to her. Get her curious. By this time you don't even think of objecting, even though you know it's wrong. I've got you too firmly in my grasp for that. You might even think that it will help, because you'll have someone to talk to, someone to share it with. "This time however, you know it's your fault. And a great part of it would be too, because you know you could have stopped it. At the same time Vanessa starts blaming you. So instead of having a someone to share your misery with, she hates you and you don't even have a best friend any more. What's worse, you don't dare make any new friends in case I get you to bring them to me too. "A year or so later, I decide that I don't want you any more, because all of those things that I praised about you, well I don't like them. I don't like big boobs. I don't like hair. And I especially don't want to risk you having a baby, because if that happens I might get found out. So I tell you I don't like you, and I do everything I can to make you feel like shit, because if I can make you feel like you deserved it, you won't ever tell on me. "So there you are. No friends. Feeling dirty. Used. You're hurt. Angry. You lash out at everyone around you. Nobody understands, and you can't tell them. Maybe you try drugs or alcohol because for a little while they help, and maybe some little kid will find you at the bottom of the observation tower on his way to school." "That's scary stuff." Jenny finally says after a long silence. "I meant it to be." I reply, "It's not always like that. What I just told you is a worst case scenario. A lot of the time, you'll get away with showing off your knickers, because the person you pick is responsible and caring. Even if he's not it often it stops with just touches; and sometimes, just sometimes, the kid even likes it from beginning to end and nothing bad comes of it, but none of those are anything to bank on. "Until you know exactly what you're getting into, and are ready to accept the consequences, don't play with fire." "For sure." Jenny says fervently. "Now let's take a little break, I think we need it." I say. "And then it's nose to the grindstone we have a lot of catching up to do." With a can of coke in her hand, Jenny returns to the last of her problems, finishing about the same time I toss the last of the assignments aside. While I correct her work, she sits back in the cushions looking thoughtful. Not surprisingly, the last few of the problems are full of errors, but that's understandable given the distraction of thinking over what I think is a much more important lesson. However up until that point, the errors are few and far between. "Well, I think we can safely say that you've learned this lesson." I congratulate her as I hand the sheet back. "But I got the last ones all wrong, I was thinking about what you said." she almost wails. "Well don't think about it too much, you just need to remember it and make sure that you don't ever let it happen to you." I tell her gently. "Now I think that's enough maths for today." I say, "What did you do in science today, and what did you find under that rock?" "Bugs." she informs me with a horrible grimace. "Both times." "Well we can strike entomologist from your list of career choices." I grin. "What's that?" "Ah-ha," I chuckle, "a word you don't know, but given your obvious distaste for the subject, it's fairly understandable. An entomologist is someone who studies bugs for a living." "Eew gross." Jenny says. "So what did you learn?" "Well, we learnt about larvae and pupae and metamorphosis and stuff at school. I guess butterflies are sort of O.K. at least they're pretty, but even they look gross close up." "O.K. we've established that insects are gross." I chuckle, "So what did you find out at home?" "That insects are gross." she replies. "O.K. I asked for that." I grin, "But what else did you discover." She digs in her bag and brings out a thick exercise book. Taking it from her I open it up to discover that, whatever else she might be, she's no shirker. Although it's obvious that she's no artist, she's done her best to capture with her pencil what she saw. Mostly slaters as I expected, a few grubs and some other less identifiable insects. Her father's influence is also evident. Carefully drawn scales have been added beside each drawing, along with a notation at the bottom of the first page. 'Dad said I needed to put in a scale.' Not surprisingly, the slaters get the biggest write up, since they are easiest to capture and study, and also the least icky. Her drawings show them both curled and uncurled, and she has speculated about them curling up to protect themselves. Following that, is a section copied from an encyclopaedia about their diet, complete with a note citing the source. The following pages contain drawings of different types of spider webs and their occupants. I have to grin at the final passage, 'Spiders are better than bugs, they still look gross, but they eat bugs. Some even eat birds and mice and things.' "Very good." I praise her, "Did you put the rock back when you finished." "Of course I did." she declares, "I may not like them very much, but they've got a right to live too, just not in my bedroom. Any bugs that come in there get thonged." "Fair enough." I chuckle. "How are you going with the books I gave you?" "Pretty good actually." she says, diving back into her bag, and handing me three of the books I'd lent her. "Here, I've finished these." "You've read the parts I wanted you to." I say, "Good." "No," she replies, "I finished them. Have you got any more, I like his stuff." "I haven't got any more of his science essays," I reply, "but I've got a couple that he wrote about history and things." "Can I have them?" she asks eagerly. "You can *borrow* them." I reply, "They're over there on the shelves." "Scrambling to her feet, she goes to my bookshelves and quickly picks out the books I'd indicated and then starts running her finger along the rest of the shelves. It briefly hovers over my Xanth books then moves on. "Can I borrow this one too? I haven't read it yet." A quick glance at the cover is enough for me to say, "Let's reserve judgment on that one until I can ask your mother. O.K.?" "Oh I've read 'Time Enough For Love and the others. Dad's got them." she informs me, "I just haven't read this one yet." Maybe you have, but he wrote this one just before he died, and it's a little more explicit, compared to the others. So let's wait and see. Even if your mum says it's O.K. I wouldn't take it to school. Some of the teachers mightn't appreciate it." "Really juicy huh?" she grins. "Not quite that bad." I grin back, "But it's still not something that they'd think girls your age should be reading." After stowing the books in her bag, we talk a little more about her science class work. Suddenly out of the blue she asks, "Can I still practice on you?" From, the way she is sitting with her knees hugged to her chest, and her feet far enough apart to call my attention to her knickers, it's pretty obvious what she is talking about. "Jenny." I say severely, "What did I just spend half an hour telling you?" "Before you say anything else, can I say something first?" she asks. "I'll probably regret this," I mutter, "but go ahead." "O.K. I really do know you won't do anything to hurt me, so I'm safe. I want to learn about boys and stuff, but the boys at school are just little kids who don't know anything and most of older boys who do know aren't safe. But you can teach me, and I'm safe." "What about the other girls?" I put in. "Forget it," Jenny tells me hotly, "most of the ones who know anything are sluts, and I don't know the ones who know stuff who aren't." "O.K. go on, have you got any more compelling arguments for me?" "I can't ask mum because she might get the wrong idea. I don't want to do anything yet, I just want to be ready for when I do. And finally," she says with a cheeky grin, "You like it and don't *really* mind." "O.K. this time your logic is impeccable." I accede, adding with a grin to match hers, "But I'll deny that last statement in a court of law." "It's still true." she giggles, waving her knees apart and back together, "See? You peeked." "Did not." I deny, "It was a reflex action brought about by the unexpected motion of your legs." "Ha." she scoffs, "Pull the other one, that one plays Jingle Bells. You peek every chance you get." "O.K. assuming I do peek, mind you I'm not admitting anything, but assuming I do, what's that got to do with it?" "Well if you didn't like peeking, there'd be no point in flashing, because you wouldn't be looking, and then it wouldn't be half as much fun." she says, "Since you do like peeking, but you won't touch me, I can do it all I like and still be safe." "That's enough of being safe I think." I tell her, "If you belabour a point too much it looses it's impact. O.K. we've established that I won't hurt you; that the boys who you can fight off don't know anything; the boy who do know, aren't safe; girls who know and advertise that they know are sluts; the other girls who know keep their traps shut and won't tell; Your mum can't help because she'd be afraid that you might try to put anything she tells you into practice; (I think you are wronging her there.) and maybe, just maybe, I like peeking up your skirt." "Well can I? Practice on you I mean." "I probably need my head examined," I mutter, "and *you* should have been drowned at birth, but since if I say no, you'll probably try elsewhere and get into trouble, I give up. O.K. you can practice on me." "Oh, I might practice elsewhere anyway." she giggles, holding up her hand to keep me quiet, "After all I need to make sure you know what you're talking about, but I'll make damned sure I'm safe first." "Haven't you got it through your thick head yet, there's no such thing as safe." I say with my face inches from hers, "Every heterosexual man has a breaking point, me, Mr Sampson, the pope, even your dad. We all have one, sometimes it just takes a flash of your knickers at the wrong time to set somebody off, and sometimes you have to practically rape him. And don't think you're safe just because a girl or a woman is around. Remember what I said about using you to get Vanessa? Well there are also some women who enjoy watching a little girl get it, and will hold them down to make sure she does. "You are never safe, safe. There are just varying degrees of danger." "It can't be that bad or you'd hear about it on the news all the time." "Bullshit." I bark, "There are about two hundred sexual assaults reported in this country every day, that's over seventy thousand every year." Grabbing a calculator, I go on, "Since there are about nine million women and girls in this country that means that you have just under a one in a hundred chance of being sexually assaulted every year. Average it out over a lifetime and it comes down to just under a fifty-fifty chance that *you* will be sexually assaulted at some time in your life. Oh, most probably it will be just a grab on your bum or something minor but it can still leave you feeling dirty and very, very scared. "And that's just the ones that get reported, a good guess is that only one in four such attacks get reported." I pause while I make some more calculations, and go on, "So every year, one in about thirty women and girls get attacked, and over a life time, it comes out to over nine chances in ten that it will happen to you." "Hey how come it actually happens to four time as many women and girls every year, but it's not even twice as many for a whole lifetime?" she asks, picking up on the apparent discrepancy, and thereby missing out on the significance of the numbers themselves. "I guess it seems a bit weird, but it works out that way because some times it happens to the same people more than once. You'll learn about it if you ever do statistics in college, and a little bit in HSC." "Is it *really* that hard?" she asks. "No I guess not, it is pretty basic statistics, it's just the numbers involved here get pretty big and very, very small." "Can you show me an easy example." "Hmm, let me think about it." I say, "Yes I can, and we can use your fractions as well. O.K. imagine a bag with three black marbles and one white one. Now what are your chances of reaching into the bag and getting the white one?" "One quarter." "And of not getting it?" "That means it's black, so three quarters." "O.K. put it back. Now what are the chances of not getting the white one a second time?" "Uh, one and a half." "Wrong, but I can see how you might think it is." I say, "No, the rules of the game are that all chances must be less than one. Now can you see a way to put three quarters and three quarters together and still come up with a number less than or equal to one?" She thinks about it for a while, then takes up pen and paper, and writes down three quarters twice. A fews seconds later she hesitantly says, "I could multiply them." "And that's the way you have to do it." I say, "What do you get?" "Nine sixteenths." "That's right." "But I don't see it." she complains. "O.K. I guess you'll have to see it laid out in front of you to get it. Write down 'B' twelve times. No, on separate lines. And now 'W' four times. Now next to them write 'B', 'B', 'B', 'W' and repeat it until you get to the bottom. O.K. now how many times do you get two 'B's, and how many different ways of picking out marbles are there all together." "Uh, nine 'BB's and sixteen ways, so that's the same as nine sixteenths," she replies, "but I still don't see why, aren't all the 'BB's the same?" "Well yes and no." I say, "Let's just for a second pretend all of the Black marbles are different. Here." taking pen and paper from her I name the three blacks 'B1', 'B2' and 'B3' so that she can clearly see the different combinations. "Oh I seen it now." she cries excitedly looking over my shoulder, "There really are sixteen ways of pulling the marbles out of the bag, but because you can't tell the difference between some of them it just seems like there aren't." "Exactly." I praise her, "Now put the marble back again and what are your chances of getting three black marbles in a row." "Um, twenty seven sixty fourths. That's less than half. And four in a row would be-" she scribbles on the paper for a few seconds, eighty-one, two hundred and fifty sixths. And-" "I think that's enough." I interrupt her, "Do you see what's happening?" "It's getting small pretty fast." "That's right, so what do you think you should do to find out your chances of getting at least one white marble in your four picks?" I ask. She goes for the obvious answer, multiplying one quarter by three quarters three times, replying "Nine, two hundred and fifty sixths." "Good try," I say, "but what you've got there is your chance of getting one white marble followed by three blacks. What you want are *all* of the times you don't get four black ones in a row. Try it with just two picks so you can use your table." I watch her as she moves her finger down the column, her lips moving as she counts. "Eight." she announces once she gets to the bottom. So all I have to do is take away all of the black, black combinations from sixteen, sixteenths. Which means for four it would be-" she scribbles down the numbers and ponders them for several seconds before finally admitting, "I can't do it." "That's because we haven't done that yet, you need to borrow from the next column." I explain, "Here watch. The first bit is easy, one from six is five, for the next column we need to borrow a one from the two so we can subtract eight from fifteen." "Seven." Jenny puts in. "That's right, and since we've already borrowed one from the two, there's only one left, so the answer is one hundred and seventy five." "But couldn't I just take eight from twenty five?" she asks. "You could, but what if you'd been taking away one hundred and eighty one?" I ask. "I know you can take eighteen from twenty five in your head, but the rule here is you do it one column at a time so that you don't make silly mistakes. Besides, what if it had been eighty seven you had been taking away, if you tried to do it your way, things would get muddled pretty fast." "I think I get it, can you show me some more?" she asks, "But first can you show me how the marble thing works with bigger numbers?" "You mean what I was doing before?" I ask. She nods silently. Maybe the numbers had registered after all. "O.K. for the purpose of this exercise we'll simplify things a bit and assume that every year the numbers are exactly one in a hundred, and one in twenty five. The other number we need is how long a woman can expect to live, which is about eighty-two years. "So it works out like this. ninety nine one hundredths, (Remember, if you want to know how likely something is to happen at least once, we start out with the chances of that event not happening.), so that's ninety-nine one hundredths raised to the power of eighty two. (That's the same as multiplying a number by itself eighty two times.) So your chances of it not happening, are about forty four in a hundred. Which means the chances of it happening are very nearly fifty six times out of a hundred. Which in turn means that fifty six out of a hundred women or girls will report an assault at some time in their life." "Hang on a sec." she objects, "if what you are saying is right, that means it happens to babies and old ladies too." "That's right." I say, "I've told you before, there are some very sick individuals out there." "Sick all right." She says "But it still can't be right because babies can't speak, so how can they tell somebody about it?" "True," I say, "but the assault might be seen by somebody else, or the baby is injured so that somebody can see that it's happened. Also older people are more likely to report an attack, so it evens things out. Now lets do it again and include all of the unreported attacks. Making the calculations in front of her, I say, "So the real chance of avoiding an assault each year is twenty four, twenty fifths, and in a lifetime that comes out to three and a half chances in one hundred. Or ninety six and a half chances of it happening out of a hundred that it will happen. Not good huh?" "I think I'm going to lock myself in my room and not come out." Jenny whispers. "Can't you do anything to make your chances better." "Plenty. But first remember, most of the assaults are fairly minor, and an even bigger proportion of the unreported ones are also minor. In all probability, it's only going to be some drunken idiot grabbing you on the boob or something similar. You're still going to be upset, and you'd have every right to be, but you can live with it, especially if it takes a heart surgeon to find his balls afterwards." She giggles at my joke as I go on, "O.K. avoiding the really bad ones. Never be alone on the streets at night. Don't get into a car with a stranger or anyone you don't trust. Don't flash your knickers or boobs unless you really want a guy's attention. Don't dress or act like a slut. When you do wear revealing clothes, like for a party when you're older, wear a coat over the top while your travelling. If it's dark outside and you're getting a taxi home, tell them you want the driver to come to the door. Share the taxi with friends, maybe even have all of you go to one person's place and have a parent drop off the rest, explain why and at least one person's parent will agree to do it. Never wear just your sport's gear home from school, alway put your dress on over the top, or put on a pair of trackie daks. "Think about the girls you see getting around in baggy clothes, they don't want just any guy's attention so they dress to avoid being noticed. Underneath they might look like Dolly Parton." "No way." Jenny giggles, "Their boobs would still stick out to here." "True," I smile back, "but put on a baggy enough tracksuit and she might be as fat as a hippo too. Why take the trouble to find out when there's easier prey out there. There are lots of little things you can do to make yourself safer, those are the one I thought of first, but since I'm a man they're probably the most important. "And finally, the one thing that is most likely to save you grief." I say, "If you ever feel the least bit uncomfortable in any situation, think quick, and get yourself some place safe. Bright lights and plenty of witnesses is best, but almost anywhere there's other people will do. Gangs of course are an exception. "You know what a safety house is, if you ever need to use one, do it, even if you're fifty years old. "If it ever does happen to you, the most important thing you can remember is that it's *not your fault*. Even if you did something silly, the other person is the one who made the choice to attack you. So long as you say 'no', all of the blame lies with the other person. Even if you say 'yes' and then change your mind, 'no' means 'no'. "And when it's over, report it immediately. The quicker you report it, the more likely it is your attacker will be caught. Also the quicker you get help, the better it is for you, because you don't have time to start blaming yourself for all of the things you might have done to avoid it. It doesn't matter how minor you think it is, and it doesn't matter what threat they might make. You can alway find somewhere else to live until the danger is past, but if you say nothing, then if someone else is hurt and you hear about it, it's just going to make you feel even shitier than you already do. "And enough." I sigh, "You're probably going to have nightmares for a week, after that." "Can I have some subtractions to do now?" "Kid you amaze me." I say wonderingly, "You're should to be hiding under a bed by now." "Can't," she giggles, demonstrating the resilience of youth, "Elwood would get me." "He's my monster under the bed." Jenny tells me, "Jake lives under Vanessa's." "Oh great," I groan, "Blues Brothers and Xanth. So what colour are her panties?" "Same as mine." she giggles, flipping up her skirt, "Green. Bet you asked that deliberately, so I'd show you." "Bet you did that deliberately so I'd look." I chuckle in return. "Of course." she informs me, "Problems please." "Here." I say after a couple of minutes of scribbling. She checks with me for the first couple of problems to make sure she has the borrows correct, then gaining confidence she works the next few on her own. At which point she reaches the first in which she has to subtract two numbers from a third. This time I'm almost certain that the slow but steady appearance of her undies is inadvertent. Stumped by the problem before her, she wriggles and squirms almost continuously, with the pen between her teeth. After watching several false starts, I'm just about to intervene when, she makes a happy little sound and with a flying pen breaks the problem down into two parts. I let her do a couple more in the same fashion, still totally unaware that three quarters of her cotton encased bottom is on display, then reach across and snap her legband to gain her attention. "Ouch!" she giggles reaching back to rub the affected part, suddenly she seems to realise her exposed state, and tugs her skirt back over her bum. "Hey, I didn't even know I did it that time." "Obviously." I remark dryly, "You weren't checking to see if I was looking." "So what do you want?" she asks, then suddenly she grins, "Was that sexual assault?" "Yes," I admit, "it could be counted as such. So you see, even I'm not totally safe." "So you've assaulted me three time today if you count the spanking. Or does each smack count separately?" she says with a smirk. "Nope." I grin back, "Besides you asked for it, so it doesn't count at all." "And since I didn't say no to the first one, I can't count this one, and I can't really count that one either because I didn't say no straight away. But don't do it again." she waggles her finger under my nose, adding with a giggle, "Too hard." "Incorrigible child." I mutter, "But what I wanted to say was, there's a trick to doing problems like that. If you cover up the top number, you can treat the rest as an addition and then you only have to subtract one number at the end." "Huh how does that work?" "Because subtracting is just adding in the other direction." I say, "Try it on the ones you've already done and see for yourself." She does as I ask, discovering for herself that I'm right. "Hey that's neat, and it makes it real easy when I've got to take away lots of numbers, because I only have to do two calculations instead of one for each." "And that means?" I ask expectantly. "Less silly mistakes." she supplies with a grin. "You can even do it in one step, but you want to be really confident before you try, because you'll probably have to borrow more than one, and sometimes you'll have borrow from way over on the left. This way you never have to borrow more than one. A few minutes later she asks, "What about these?" pointing to problems which are a mixture of addition and subtraction, "Is there a trick to make these easier too?" "Yes," I say, "but do a few the hard way first so you get a feel for them." Instead of doing as I say, she contemplates the problem with pen in her mouth, rhythmically flicking it from side to side with her tongue. A minute or so later she states, "I take out all the adding up first, that way I can use the subtraction trick and then all I have to do is add the rest together." "Try it and see," I tell her, "but you're still going to have to do it the hard way to check." Showing me her tongue she goes to work, coming up with the correct answer after a minute of diligent effort. She's not so lucky with the second answer though, as it turns out that her intermediate answer is going to be negative, something we have not covered yet. Turning to me with a look of utter frustration, she complains, "I can't make it work for this one." "That's because we haven't done negative numbers yet," I say, "and we're not going to start tonight. You almost had the trick right, but you should take out all of the subtractions and put them to one side, and since you have to have to do a separate sum for them anyway, it saves you a step at the same time. Your way works too, it's just a little bit more difficult." "And that means?" she giggles. "Silly mistakes." we finish together. "What are negative numbers?" she asks. "Numbers less than zero." I reply, "Eventually you're going to run into them no matter what tricks you use, but not tonight." "How can you have less than zero?" she asks curiously. "Well if you start out with nothing, borrow ten dollars from me and spend it, how much do you have left." "Nothing." she replies. "Really?" I ask, "Where's my ten dollars? I want it back." "Um, I'd get it off Dad." she says, brightly. "And now he's ten dollars out of pocket. So where does he get it from?" "He takes it out of my pocket money." she concludes. "You've missed the point." I say, "Between you spending the money and it coming out of your pocket money, you owe somebody ten dollars, and that means you have less than zero dollars, in fact you have negative ten dollars. You can't see it, but it's still a real number nonetheless." "So where do imaginary numbers come from?" she asks, in a way that tells me it's a set up. "No!" I cry in mock fear, "Not those, anything but those." "Why?" she asks, "They were in one of those books you lent me, but I skipped most of it like you said. And when you started talking about numbers less than zero, I sort of thought they might be them." "No negative numbers aren't imaginary." I say, "Let's go back to that ten dollars, because that way we're working with something concrete." "Concrete?" "Real, real." I explain, "What I mean, is that that ten dollars exists somewhere, in your case it means that you haven't got this week's pocket money yet. When you're older, it means that you haven't earned it. Imaginary numbers are a whole different kettle of fish, they're somewhere to the left of straight up." "That's not a real direction," Jenny giggles, "because it depends on which way you're facing." "Not even that," I chuckle, "because you can't really point to the left of straight up unless you're facing straight up, even then that's not enough because your feet have to be pointing in all directions at once. Then and only then can you point in the right direction." "But that's impossible." she objects. "Impossible to do, but not quite impossible to imagine," I grin, "which is where they get their name from." "Elucidate." she tells me. "Big word." I chuckle, "O.K. you know what a number line is right?" "Yeah." "Well if you put zero in the middle, all of the negative numbers are on the left and the positive ones are on the right." "So the imaginary ones are straight up and down. Right?" "Sorry, no prizes for guessing. Straight up and down is still real. You know how to find your street on a map?" "Like B6 you mean?" "Exactly, but we can also put numbers on the second line, and we're still describing something that's real." "I guess in front of and behind the line is out too, because you said my feet had to face every way at once?" "No guessing allowed," I grin, "but you still get a gold star for being right. If we go back to the map, that direction tells us how far above or below something we are, usually sea level. So what's left?" "Nowhere." she replies perplexedly. "Yes there is, but you have to *imagine* it." I tell her. Frowning cutely, she ponders the imponderable for several minutes, before finally admitting defeat, "I can't see it." "I'll let you in on a little secret," I chuckle, "almost nobody can, so we cheat." "How?" "By throwing away one of the real directions and putting the imaginary one in its place. We put a little 'i' next to it to remind us that it's imaginary, but apart from that we just pretend it's real, and we can use the same sort of equations to calculate with them, with only a few tiny changes to the rules. Now get back to your problems and stop trying to sidetrack me." "Yes sir." she giggles, throwing me a salute. When she has about three to go the phone rings. "Hello?" I answer it. "Greg, what on earth have you two been doing?" It's Dianne, "It's nearly half past seven." "What?" I ask incredulously, "Oh, my, God, I'm sorry, we got sidetracked and lost track of the time. I'll have her home in ten minutes. Bye." Hanging up, I turn to Jenny, "Quick Jenny pack your stuff, we're later than late." Smart kid that she is, she's already packing, and less than a minute later we're in the car. Fortunately Morrie knows to get the key from Danny next door if I'm not there so I don't have to waste time with a note.