## Exponents

# SquaringÂ numbers

# Introduction

In this article, you'll learn how to square numbers!

# Example

Here's how we square the number $3$:

$\large3^2 = 3 \times 3 = 9$

### Reflection question

**What does it mean to square a number?**

# Practice

$\large1^2 =$

**Your answer should be**- an integer, like $6$
- a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$
- an
*exact*decimal, like $0.75$ - a multiple of pi, like $12\ \text{pi}$ or $2/3\ \text{pi}$

$1^2 = 1 \times 1 = 1$

$\large2^2 =$

**Your answer should be**- an integer, like $6$
- a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$
- an
*exact*decimal, like $0.75$ - a multiple of pi, like $12\ \text{pi}$ or $2/3\ \text{pi}$

$2^2 = 2 \times 2 = 4$

$\large3^2 =$

**Your answer should be**- an integer, like $6$
- a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$
- an
*exact*decimal, like $0.75$ - a multiple of pi, like $12\ \text{pi}$ or $2/3\ \text{pi}$

$3^2 = 3 \times 3 = 9$

$\large4\times4 =$

**Your answer should be**- an integer, like $6$
- a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$
- an
*exact*decimal, like $0.75$ - a multiple of pi, like $12\ \text{pi}$ or $2/3\ \text{pi}$

$4 \times 4 = 16$

$\large5^2 =$

**Your answer should be**- an integer, like $6$
- a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$
- an
*exact*decimal, like $0.75$ - a multiple of pi, like $12\ \text{pi}$ or $2/3\ \text{pi}$

$5^2 = 5 \times 5 = 25$

$\large6^2 =$

**Your answer should be**- an integer, like $6$
- a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$
- an
*exact*decimal, like $0.75$ - a multiple of pi, like $12\ \text{pi}$ or $2/3\ \text{pi}$

$6^2 = 6 \times 6 = 36$

$\large7^2 =$

**Your answer should be**- an integer, like $6$
- a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$
- an
*exact*decimal, like $0.75$ - a multiple of pi, like $12\ \text{pi}$ or $2/3\ \text{pi}$

$7^2 = 7 \times 7 = 49$

$\large8\times8 =$

**Your answer should be**- an integer, like $6$
- a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$
- an
*exact*decimal, like $0.75$ - a multiple of pi, like $12\ \text{pi}$ or $2/3\ \text{pi}$

$8 \times 8 = 64$

$\large9^2 =$

**Your answer should be**- an integer, like $6$
- a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$
- an
*exact*decimal, like $0.75$ - a multiple of pi, like $12\ \text{pi}$ or $2/3\ \text{pi}$

$9^2 = 9 \times 9 = 81$

$\large10^2 =$

**Your answer should be**- an integer, like $6$
- a
*simplified proper*fraction, like $3/5$ - a
*simplified improper*fraction, like $7/4$ - a mixed number, like $1\ 3/4$
- an
*exact*decimal, like $0.75$ - a multiple of pi, like $12\ \text{pi}$ or $2/3\ \text{pi}$

$10^2 = 10 \times 10 = 100$

# Challenge problem

$\large a^2 =$

Squaring a number is the same as multiplying that number by itself.

So, $a^2 = a \times a$.

## Exponents

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