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# Squaring numbers

## Example

Here's how we square the number $3$:
${3}^{2}=3×3=9$

### Reflection question

What does it mean to square a number?

## Practice

${1}^{2}=$

${2}^{2}=$

${3}^{2}=$

$4×4=$

${5}^{2}=$

${6}^{2}=$

${7}^{2}=$

$8×8=$

${9}^{2}=$

${10}^{2}=$

## Challenge problem

${a}^{2}=$

## Want to join the conversation?

• Why is it that when you do exponents of zero it is always 0
• But do not be confused with anything to the power of 0 because that is 1
• khan academy is a great site! ive learned a lot
• Yes, Yes It Is.
• In one of the tutorials the answer stated -1 to the 0 power is +1. I don't understand why. If you have a -1 and you times it by itself 0 times, wouldn't that leave you with -1?
• So this is a trick of conventional logic vs mathematical rules. Don't confuse the absolute value of the event with whether or not the event happened. I'll explain.

-1 times itself 0 times means that -1 was in fact multiplied by itself, the event happened, but to an exponent with an absolute value of 0. Therefore the absolute value of -1 is not affected, it remains 1, but the event still happened, so the signs also have to be multiplied, and a -x- is a +, hence the absolute value remains unchanged but the sign changes.

I hope this makes sense, it is a difficult concept to explain.
• easy peasy lemon squezy!.....
• 0% chances to fail but 99.9% chance to score good in these questions!
• This is so easy!
• That is not very nice, some people might not be as good.