cover

Zero's Honest Answer

Why does anything times zero equal zero?
Five times three is fifteen. Seven times eight is fifty-six. Multiplication is a busy little machine that always hands y

Five times three is fifteen. Seven times eight is fifty-six. Multiplication is a busy little machine that always hands you something back. But feed it a zero and the machine goes quiet. Nothing comes out. Why does this one number empty the whole answer? Let's find out.

First, remember what multiplication actually means. **"Times" is just a fancy word for "groups of."** Three times four m

First, remember what multiplication actually means. "Times" is just a fancy word for "groups of." Three times four means three groups, each holding four apples. Count them up and you get twelve. Multiplication is really just polite, organized counting.

So let's read "five times zero" the same way. It means ~~five groups~~, and **each group holds... zero**. Five baskets,

So let's read "five times zero" the same way. It means five groups, and each group holds... zero. Five baskets, all completely empty. You can line them up, polish them, give them names โ€” but there's still nothing inside to count.

Now flip it around. **Multiplication doesn't care which number comes first**; five times zero and zero times five give t

Now flip it around. Multiplication doesn't care which number comes first; five times zero and zero times five give the same answer. "Zero times five" means zero groups of five apples. How many apples are in no groups at all? You guessed it โ€” none.

Either way you tell the story, you end up holding nothing. **Empty baskets, or no baskets at all**. ~~Both roads lead to

Either way you tell the story, you end up holding nothing. Empty baskets, or no baskets at all. Both roads lead to the same quiet place: zero. That's already a pretty good answer. But math likes to double-check itself, so let's catch zero in the act.

~~Watch what happens~~ as we shrink a number toward zero. Six times four is twenty-four. Six times three is eighteen. Si

Watch what happens as we shrink a number toward zero. Six times four is twenty-four. Six times three is eighteen. Six times two is twelve. Six times one is six. Each time we drop by one group, the answer falls by six, like steps going down a staircase.

~~So what's the very next step down?~~ Six times one was six. *Take away that last group*, and you must drop by six agai

So what's the very next step down? Six times one was six. Take away that last group, and you must drop by six again. Six minus six is zero. The staircase doesn't stop early โ€” it walks you right down to the ground floor, and the ground floor is zero.

~~There's one more reason hiding here.~~ Zero is the number for "having none." And *multiplying is really repeated addin

There's one more reason hiding here. Zero is the number for "having none." And multiplying is really repeated adding. If you add nothing, again and again, no matter how many times โ€” a hundred times, a million times โ€” you never build anything up. Stacking empty boxes never makes a tower.

~~So that's the whole secret.~~ Times zero means "*groups of nothing*," or "*no groups at all*," or "adding nothing over

So that's the whole secret. Times zero means "groups of nothing," or "no groups at all," or "adding nothing over and over." Three different stories, one honest ending: nothing. Zero isn't being stubborn. It's just telling the truth about empty.

~~So the next time~~ the multiplication machine goes quiet on you, don't worry that it's broken. You handed it a zero โ€”

So the next time the multiplication machine goes quiet on you, don't worry that it's broken. You handed it a zero โ€” a tidy little hole โ€” and it handed the hole right back. Fair's fair. Feed it nothing, and nothing is exactly what you'll get.

How was this book?

A Wonderleaf Book

Zero's Honest Answer

โ€” Why does anything times zero equal zero? โ€”

Wonderleaf Editions
โ€” ex libris โ€”
A Wonderleaf Book

Zero's Honest Answer

Why does anything times zero equal zero?

Wonderleaf Editions ยท MMXXVI
Scene 1
Five times three is fifteen. Seven times eight is fifty-six. Multiplication is a busy little machine that always hands y
Zero's Honest Answer2
Scene 1

Five times three is fifteen. Seven times eight is fifty-six. Multiplication is a busy little machine that always hands you something back. But feed it a zero and the machine goes quiet. Nothing comes out. Why does this one number empty the whole answer? Let's find out.

3Zero's Honest Answer
Scene 2
First, remember what multiplication actually means. **"Times" is just a fancy word for "groups of."** Three times four m
Zero's Honest Answer4
Scene 2

First, remember what multiplication actually means. "Times" is just a fancy word for "groups of." Three times four means three groups, each holding four apples. Count them up and you get twelve. Multiplication is really just polite, organized counting.

5Zero's Honest Answer
Scene 3
So let's read "five times zero" the same way. It means ~~five groups~~, and **each group holds... zero**. Five baskets,
Zero's Honest Answer6
Scene 3

So let's read "five times zero" the same way. It means five groups, and each group holds... zero. Five baskets, all completely empty. You can line them up, polish them, give them names โ€” but there's still nothing inside to count.

7Zero's Honest Answer
Scene 4
Now flip it around. **Multiplication doesn't care which number comes first**; five times zero and zero times five give t
Zero's Honest Answer8
Scene 4

Now flip it around. Multiplication doesn't care which number comes first; five times zero and zero times five give the same answer. "Zero times five" means zero groups of five apples. How many apples are in no groups at all? You guessed it โ€” none.

9Zero's Honest Answer
Scene 5
Either way you tell the story, you end up holding nothing. **Empty baskets, or no baskets at all**. ~~Both roads lead to
Zero's Honest Answer10
Scene 5

Either way you tell the story, you end up holding nothing. Empty baskets, or no baskets at all. Both roads lead to the same quiet place: zero. That's already a pretty good answer. But math likes to double-check itself, so let's catch zero in the act.

11Zero's Honest Answer
Scene 6
~~Watch what happens~~ as we shrink a number toward zero. Six times four is twenty-four. Six times three is eighteen. Si
Zero's Honest Answer12
Scene 6

Watch what happens as we shrink a number toward zero. Six times four is twenty-four. Six times three is eighteen. Six times two is twelve. Six times one is six. Each time we drop by one group, the answer falls by six, like steps going down a staircase.

13Zero's Honest Answer
Scene 7
~~So what's the very next step down?~~ Six times one was six. *Take away that last group*, and you must drop by six agai
Zero's Honest Answer14
Scene 7

So what's the very next step down? Six times one was six. Take away that last group, and you must drop by six again. Six minus six is zero. The staircase doesn't stop early โ€” it walks you right down to the ground floor, and the ground floor is zero.

15Zero's Honest Answer
Scene 8
~~There's one more reason hiding here.~~ Zero is the number for "having none." And *multiplying is really repeated addin
Zero's Honest Answer16
Scene 8

There's one more reason hiding here. Zero is the number for "having none." And multiplying is really repeated adding. If you add nothing, again and again, no matter how many times โ€” a hundred times, a million times โ€” you never build anything up. Stacking empty boxes never makes a tower.

17Zero's Honest Answer
Scene 9
~~So that's the whole secret.~~ Times zero means "*groups of nothing*," or "*no groups at all*," or "adding nothing over
Zero's Honest Answer18
Scene 9

So that's the whole secret. Times zero means "groups of nothing," or "no groups at all," or "adding nothing over and over." Three different stories, one honest ending: nothing. Zero isn't being stubborn. It's just telling the truth about empty.

19Zero's Honest Answer
Scene 10
~~So the next time~~ the multiplication machine goes quiet on you, don't worry that it's broken. You handed it a zero โ€”
Zero's Honest Answer20
Scene 10

So the next time the multiplication machine goes quiet on you, don't worry that it's broken. You handed it a zero โ€” a tidy little hole โ€” and it handed the hole right back. Fair's fair. Feed it nothing, and nothing is exactly what you'll get.

21Zero's Honest Answer

~ finis ~

Tiny picture books for big little questions.

โ€” a small constellation of questions โ€”
โœฆWonderleaf
Editions