Compare Written Numerals — CCSS.K.CC.7: Compare two numbers between 1 and 10 presented as written numerals. - Kindergarten Math

SECTION 1

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?"

Long Ago • Counting With Fingers

People used their fingers and toes to count things. They held up fingers to compare who had more.

5,000 Years Ago • First Written Numbers

People in ancient lands began writing numbers down using marks and symbols on clay tablets.

About 1,500 Years Ago • Our Numerals Were Born

The numbers we use today — 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 — were invented in India!

About 400 Years Ago • Comparison Signs Invented

A man named Thomas Harriot created the greater-than (>) and less-than (<) signs to make comparing easier.

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.

SECTION 2

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

When a number is bigger, we say it is "greater than" the other number. We use this sign: >

Less Than

When a number is smaller, we say it is "less than" the other number. We use this sign: <

Equal To

When two numbers are the same, we say they are "equal to" each other. We use this sign: =

Number Line Order

Numbers that come later when you count are greater. Numbers that come earlier are less.

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KEY TAKEAWAY

Think of a hungry alligator! The alligator always opens its mouth toward the bigger number because it wants to eat more. So 7 > 3 means the alligator faces the 7. And 3 < 7 means the small side points to the 3. The alligator is your helper!

SECTION 3

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!

On the number line, 3 is to the left and 7 is to the right. The number farther to the right is always greater!

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.

SECTION 4

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.

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Remember the Alligator!

The open part of the > or < sign always points to the bigger number. The pointy part points to the smaller number. The alligator wants to eat the bigger number!

SECTION 5

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.

This chart shows the three comparison signs: greater than (>), less than (<), and equal to (=). The dots help you see how many each number stands for.

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

The three comparison signs

SECTION 6

Let's Compare Step by Step

Let's walk through a full example together. We will compare the numbers 4 and 9.

Compare 4 and 9

1
Step 1 — Read the Numbers

We see the numbers 4 and 9. Let's say them out loud: "four" and "nine."
2
Step 2 — Think About Counting

Let's count: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. We say 4 before 9. That means 4 is less than 9.
3
Step 3 — Pick the Right Sign

Since 4 is less than 9, we use the less than sign: <. The pointy end points at the smaller number (4).

4 < 9 ✓
4
Step 4 — Check With Dots

Let's double check! Draw 4 dots: ● ● ● ●. Now draw 9 dots: ● ● ● ● ● ● ● ● ●. The 9 dots are more than the 4 dots. We are correct!

4 < 9 — Four is less than nine!

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.

SECTION 7

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.

Tips and common mistakes when comparing numbers

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REMEMBER THIS!

Think of the signs like an alligator mouth or an arrow. The wide open side always faces the bigger number. The pointy side always faces the smaller number. If the numbers are twins, use the equal sign!

SECTION 8

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

How comparing numbers grows with you

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!

SECTION 9

Practice Problems

Now it's your turn! Try these five problems. Use counting, finger counting, or the number line to help you.

Question 1: CONCEPTUAL

Which number is greater: 3 or 8? How do you know?

Show answer

8 is greater than 3. When you count — 1, 2, 3, 4, 5, 6, 7, 8 — you say 8 after 3. Numbers you say later when counting are bigger. On a number line, 8 is to the right of 3, which also tells us 8 is greater.

Question 2: BASIC CALCULATION

Fill in the blank with >, <, or =: 5 ___ 2

Show answer

The answer is 5 > 2. Five is greater than 2 because when you count, you say 2 before 5. Remember, the open side of the > sign faces the bigger number (5), and the pointy side faces the smaller number (2).

Question 3: INTERMEDIATE

Compare these pairs and write the correct sign: a) 7 ___ 7 b) 1 ___ 10

Show answer

a) 7 = 7 — Both numbers are the same, so they are equal. We use the = sign. b) 1 < 10 — 1 is the very first number when you count, and 10 is the very last number before 11. So 1 is much less than 10. The pointy end points at 1 because 1 is smaller.

Question 4: APPLIED

Sam has 6 stickers. Mia has 4 stickers. Who has more stickers? Write a number sentence using >, <, or = to show your answer.

Show answer

Sam has more stickers. We write 6 > 4. When you count, 6 comes after 4, so 6 is greater. You can also think of it from Mia's side: 4 < 6. Either way, Sam has more stickers because 6 is the bigger number.

Question 5: CRITICAL THINKING

A mystery number is greater than 5 but less than 8. What numbers could the mystery number be? Can you list all of them?

Show answer

The mystery number must be greater than 5, so it has to be 6, 7, 8, 9, or 10. But it also has to be less than 8, so it can be 1, 2, 3, 4, 5, 6, or 7. The numbers that fit both rules are 6 and 7. These are the only numbers between 5 and 8 on the number line. Great thinking if you found both!

SUMMARY

What You Learned Today

Summary

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.