# Comparing Numbers to Hundred

## Overview

When we **compare** two numbers, we’re deciding if a number is **greater than**, **less than**, or **equal** to the other number.

You can start with Comparing Numbers to Ten, and then move onto bigger numbers!

In order to compare bigger numbers, we use **Place Value**.

In a two-digit number, the number to the **left** is in the **tens** place

and the number on the **right** is in the **ones** place.

This is the place value for **24**:

This is the place value for **32**:

If you want to know which two-digit number is bigger, take a look at the tens place first.

If we’re comparing **24** and **32**, there are **more** tens in 32 than 24. So 32 is definitely the bigger number!

Let’s look at another example. Let’s compare **45** and **71**.

45 71

**4** is in the tens place in 45

**7** is in the tens place in 71

So we know right away 71 is **GREATER THAN** 45.

(We also know 45 is LESS THAN 71!)

**But what if the number in the tens place is the same?**

Well, then we need to look at the ones place.

Let’s compare 30 and 35:

There’s a 3 in the tens place in both numbers, right?

To compare these numbers, we need to take a look at the ones place.

**0** is in the ones place in **30**

**5** is in the ones place in **35**

And since we know 5 is **GREATER THAN** 0,

we **know** 35 must be **GREATER THAN** 30!

**Here are some helpful tools when you are comparing two-digit numbers:**

The first is a number line that goes to 100:

If a number comes **after** another number, we know it’s **bigger**!

If a number comes **before** another number, we know it’s **smaller**!

You can also imagine the numbers broken down into **place value blocks**:

32 has the **most** tens, so it must be **GREATER THAN** the other numbers.

13 has the **fewest** tens, so it must be **LESS THAN** the other numbers.

Do you remember the math symbols we used when Comparing Numbers to Ten?

Here they are:

We can use these math symbols to compare two-digit numbers.

Here are some simple examples:

50 > 30

or

10 < 90

If we’re comparing two equal two-digit numbers, it would look like this:

40 = 40

Let’s use a little trickier two-digit numbers and compare them using the math symbols.

The **number** in the **tens** place tells us which number is **bigger**:

82 > 75

**or**

12 < 63

**Remember if the number in the tens place is the same,**

**then you need to look at the ones place**:

57 > 51

**or**

33 < 39

Comparing two-digit numbers gets much easier with practice, so let’s get started!

### Practice Question 1

**Let’s compare the numbers 22 and 65.**

22 < 65

**True or False?**

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### Practice Question 2

**Try another true or false question.**

85 > 42

**True or False?**

### Practice Question 3

Look closely at this one–it’s tricky! Remember when the number in the tens place is the same, you need to look at the numbers in the ones place:

66 > 68

**True or False?**

### Practice Question 4

**Which math symbol belongs in the space between these two numbers?**

52 ____ 99

### Practice Question 5

**Which math symbol belongs in the space between these two numbers?**

78 ____ 75

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