Why Do We Compare Numbers?
People have been comparing things for a very, very long time! Long ago, farmers needed to know who had more sheep. Shopkeepers needed to know who had more coins. Comparing numbers helps us answer the question: "Which is more, which is less, or are they the same?"
Today, you get to learn the same skill that helped people long ago. You will look at two written numerals — like 3 and 7 — and figure out which one is greater, which one is less, or if they are equal.
Key Ideas for Comparing Numbers
Before we start comparing, let's learn some important words and ideas. These are the building blocks you need!
Greater Than
Less Than
Equal To
Number Line Order
See It on a Number Line!
A number line is like a road with numbers on it. The numbers go from small on the left to big on the right. Let's use a number line to compare 3 and 7!
Here is the big rule: numbers on the right side of the number line are greater. Numbers on the left side are less. When you count 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, each number you say is greater than the one before it.
How to Compare Two Numbers
Here are the three easy steps to compare any two numbers between 1 and 10.
Step 1: Read Both Numbers
Look at the two numbers you are given. Say them out loud. For example, if you see 5 and 2, say "five" and "two."
Step 2: Think About Counting
When you count, which number do you say first? That number is less. Which number do you say later? That number is greater. You count: 1, 2, 3, 4, 5… So 2 comes first, and 5 comes later.
Step 3: Use the Right Sign
Now pick the right sign. If the first number is bigger, use >. If the first number is smaller, use <. If they are the same, use =. So for 5 and 2, we write: 5 > 2.
All the Ways to Compare
Let's see all three comparison signs in action with different pairs of numbers. The picture below shows how each sign works.
| Sign | Name | What It Means | Example |
|---|---|---|---|
| > | Greater than | The first number is bigger | 9 > 4 |
| < | Less than | The first number is smaller | 2 < 6 |
| = | Equal to | Both numbers are the same | 7 = 7 |
Let's Compare Step by Step
Let's walk through a full example together. We will compare the numbers 4 and 9.
Great job! Let's try one more quick one. Compare 6 and 6. When you count, they are the same number! So we write 6 = 6. Both sides are equal.
Helpful Tips and Common Mistakes
Comparing numbers can be tricky at first. Here are some tips that will help you, and some mistakes to watch out for!
| Helpful Tips ✅ | Common Mistakes ❌ |
|---|---|
| Count on your fingers to see which number is more. | Mixing up the > and < signs. |
| Use the alligator trick: the open mouth faces the bigger number. | Forgetting that the pointy end always faces the smaller number. |
| Picture a number line in your head. The number farther right is greater. | Thinking that a number that looks taller (like 1) is bigger than a shorter-looking number (like 8). |
| If both numbers look the same, use the = sign. | Using > or < when the numbers are equal. |
Getting Ready for Bigger Numbers
Right now, you are comparing numbers from 1 to 10. But as you grow as a math learner, you will compare even bigger numbers! Let's see how this skill gets bigger.
| What You Learn Now | What Comes Next |
|---|---|
| Compare numbers 1 to 10 | Compare numbers up to 20, then 100! |
| Use >, <, and = | Use these same signs with much bigger numbers |
| Count to compare | Use place value (tens and ones) to compare |
| Compare two numbers | Put many numbers in order from least to greatest |
The great news is that the same rules you learn now will work forever. The > sign, the < sign, and the = sign will be your tools in first grade, second grade, and all the way through school!
Practice Problems
Now it's your turn! Try these five problems. Use counting, finger counting, or the number line to help you.
What You Learned Today
Today you learned how to compare two written numerals between 1 and 10. You learned three special signs: greater than (>) means the first number is bigger, less than (<) means the first number is smaller, and equal to (=) means both numbers are the same.
You can compare numbers by counting — the number you say later is greater. You can also use a number line — the number farther to the right is greater. And don't forget the alligator trick: the open mouth always faces the bigger number! These skills will help you as you learn to compare even bigger numbers in first grade and beyond.