Have you ever looked at greater than or less than symbols and wondered which way they should point? You are not alone. These two math symbols, > and <, are easy to mix up at first. The good news is that they follow one simple rule.
The greater than symbol (>) means that the number on the left is bigger than the number on the right. The less than symbol (<) means that the number on the left is smaller than the number on the right. For example, 8 > 5 means “8 is greater than 5,” while 3 < 7 means “3 is less than 7.”
Once you learn how the symbols open toward the bigger number, they become much easier to remember. Think of the symbol like a hungry mouth. The open side faces the larger number, while the small pointed side faces the smaller number.
Understanding word differences improves writing clarity and communication such as the color gray or grey.
Simple Answer in One Look
Here is the easiest rule:
- > means greater than
- < means less than
- The open side faces the bigger number.
- The pointed side faces the smaller number.
Examples:
9 > 4 → 9 is greater than 4.
2 < 6 → 2 is less than 6.
A quick memory trick is:
The wide-open mouth eats the bigger number.
What Do Greater Than and Less Than Mean?
Before learning the symbols, you need to understand the words greater and less.
When we say one number is greater than another number, we mean it has a larger value.
For example:
10 is greater than 6.
Why?
Because 10 is farther along when we count:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
So we can write:
10 > 6
The symbol > tells us that 10 is bigger than 6.
Now look at this example:
4 is less than 9.
Four has a smaller value than nine.
So we write:
4 < 9
The symbol < tells us that 4 is smaller than 9.
What Does “Greater Than” Mean?
Greater than means bigger in value.
For example:
- 7 is greater than 3.
- 15 is greater than 10.
- 100 is greater than 50.
We can write these as:
- 7 > 3
- 15 > 10
- 100 > 50
The number on the left is bigger in each example.
What Does “Less Than” Mean?
Less than means smaller in value.
For example:
- 2 is less than 8.
- 5 is less than 12.
- 20 is less than 100.
We can write:
- 2 < 8
- 5 < 12
- 20 < 100
The number on the left is smaller in each example.
What Are the Greater Than and Less Than Symbols?
The two main comparison symbols are:
> = greater than
< = less than
They are called comparison symbols because they help us compare two numbers.
When you compare numbers, you are asking:
Which number is bigger?
or:
Which number is smaller?
For example:
6 ___ 10
Look at the two numbers.
Six is smaller than ten.
So we put the less than symbol between them:
6 < 10
Now try:
12 ___ 8
Twelve is bigger than eight.
So we write:
12 > 8
The symbol gives us a quick way to show the relationship between the numbers.
How Do You Remember Which Way the Symbols Go?
This is probably the biggest question students have.
The easiest trick is to imagine the symbol as a hungry mouth.
Look at this:
8 > 3
The symbol is open toward 8.
Why?
Because 8 is bigger.
The “mouth” wants to eat the bigger number.
Now look at:
2 < 9
The open side faces 9.
Again, the mouth faces the bigger number.
So remember:
Open side → bigger number
Point → smaller number
This trick works for both symbols.
The Mouth Trick
Imagine > and < are hungry mouths.
The mouth always opens toward the larger number.
For example:
7 > 4
The mouth opens toward 7 because 7 is larger.
And:
3 < 8
The mouth opens toward 8 because 8 is larger.
This is one of the easiest ways for young students to remember the symbols.
Clear Difference Between > and <
Let’s put the two symbols side by side.
| Symbol | Meaning | Example | Read it as |
|---|---|---|---|
| > | Greater than | 9 > 5 | 9 is greater than 5 |
| < | Less than | 3 < 7 | 3 is less than 7 |
The symbols look similar, but they point in opposite directions.
Greater Than Symbol: >
The greater than symbol looks like this:
>
It means the number on the left is bigger than the number on the right.
Example:
20 > 12
Read it:
Twenty is greater than twelve.
Another example:
15 > 9
Read it:
Fifteen is greater than nine.
Less Than Symbol: <
The less than symbol looks like this:
<
It means the number on the left is smaller than the number on the right.
Example:
4 < 11
Read it:
Four is less than eleven.
Another example:
7 < 20
Read it:
Seven is less than twenty.
Which Number Is Greater?
To decide which number is greater, compare their values.
Start with small numbers.
Suppose you have:
5 and 8
Which one is bigger?
Eight.
So:
8 > 5
Now suppose you have:
3 and 1
Three is bigger.
So:
3 > 1
You can use a number line if you are unsure.
Using a Number Line
A number line can make comparisons very easy.
For example:
1 2 3 4 5 6 7 8 9 10
Numbers become larger as you move to the right.
So 9 is greater than 4 because 9 is farther to the right.
Therefore:
9 > 4
Similarly, 3 is less than 8 because 3 is farther to the left.
Therefore:
3 < 8
A simple rule is:
Farther right = greater
Farther left = less
This works especially well with positive whole numbers.
What Happens When the Numbers Have Two Digits?
The same rule works with larger numbers.
For example:
45 and 32
Both numbers have two digits.
Look at the tens place first.
45 has 4 tens.
32 has 3 tens.
Since 4 tens are greater than 3 tens:
45 > 32
Now try:
27 and 63
27 has 2 tens.
63 has 6 tens.
So:
27 < 63
You do not need to count every number from 1 to 63. Compare the place values.
What About Three-Digit Numbers?
The same idea works with three-digit numbers.
Compare:
425 and 318
Start with the hundreds place.
425 has 4 hundreds.
318 has 3 hundreds.
Four hundreds are greater than three hundreds.
So:
425 > 318
Now compare:
246 and 582
246 has 2 hundreds.
582 has 5 hundreds.
Therefore:
246 < 582
A Simple Place-Value Rule
When comparing large whole numbers:
- Look at the first digit.
- If they are different, the larger digit tells you the larger number.
- If they are the same, move to the next digit.
- Keep comparing until you find a difference.
For example:
452 and 478
Both have 4 hundreds.
So compare the tens:
5 tens vs. 7 tens.
Seven is greater than five.
Therefore:
452 < 478
What If the First Digits Are the Same?
This is another common situation.
Consider:
56 and 59
Both numbers have 5 tens.
So the first digit does not help us.
Now compare the ones:
6 and 9.
Nine is greater.
Therefore:
56 < 59
Another example:
124 and 129
Both numbers have:
- 1 hundred
- 2 tens
Now compare the ones.
4 is less than 9.
So:
124 < 129
The important lesson is to compare numbers from left to right.
How Do You Read These Symbols?
Reading the symbols correctly is just as important as writing them.
For example:
8 > 3
Read:
Eight is greater than three.
Do not say:
Eight is less than three.
The symbol tells you the relationship.
Now:
4 < 10
Read:
Four is less than ten.
You can also turn the sentence around:
Ten is greater than four.
Both statements describe the same relationship.
Example
6 < 12
This means:
Six is less than twelve.
It also means:
Twelve is greater than six.
The mathematical relationship is the same.
Easy Real-Life Examples
Greater than and less than symbols are not only used in math worksheets. We compare things in real life all the time.
Example 1: Age
Sara is 12 years old, and Tom is 9.
You can write:
12 > 9
Sara is older than Tom.
Example 2: Money
You have $20, and your friend has $15.
You can write:
20 > 15
You have more money.
Example 3: Number of Books
One shelf has 18 books, and another has 25.
You can write:
18 < 25
The second shelf has more books.
Example 4: Temperature
Monday was 70°F, and Tuesday was 65°F.
You can write:
70 > 65
Monday was warmer.
Example 5: Points in a Game
Team A scored 40 points. Team B scored 35.
You can write:
40 > 35
Team A scored more points.
Example 6: Number of Students
Class A has 24 students. Class B has 28.
You can write:
24 < 28
Class B has more students.
Greater Than or Less Than Symbols in Word Problems
Word problems often ask you to compare numbers.
For example:
Emma has 14 apples. Jack has 9 apples. Who has more apples?
Compare:
14 and 9
Fourteen is greater than nine.
So:
14 > 9
Emma has more apples.
Another example:
A store has 30 red shirts and 45 blue shirts. Which number is smaller?
Compare:
30 and 45
Thirty is less than forty-five.
So:
30 < 45
The red shirts are fewer in number.
How to Choose the Correct Symbol?
When you see a blank, do not guess.
Use these steps.
Step 1: Look at the Two Numbers
Example:
7 ___ 11
Step 2: Ask Which Number Is Bigger
11 is bigger.
Step 3: Open the Symbol Toward the Bigger Number
The symbol should open toward 11.
So:
7 < 11
That is it.
Another Example
15 ___ 6
Which number is bigger?
The symbol must open toward 15.
So:
15 > 6
Greater Than or Less Than Symbols With Zero
Zero is an important number to understand.
Consider:
5 > 0
Five is greater than zero.
Now:
-3 < 0
Negative three is less than zero.
When negative numbers are introduced, the number line becomes especially helpful.
Numbers farther to the right are greater.
Numbers farther to the left are less.
For example:
-2 > -7
Even though both numbers are negative, -2 is farther to the right on the number line.
So -2 is greater than -7.
Practice: Fill in the Correct Symbol
Try these examples.
1. 5 ___ 9
Nine is greater.
Answer:
5 < 9
2. 12 ___ 7
Twelve is greater.
Answer:
12 > 7
3. 18 ___ 25
Eighteen is smaller.
Answer:
18 < 25
4. 40 ___ 31
Forty is greater.
Answer:
40 > 31
5. 67 ___ 76
Sixty-seven is smaller.
Answer:
67 < 76
6. 100 ___ 99
One hundred is greater.
Answer:
100 > 99
A Simple Comparison Checklist
When you need to use greater than or less than symbols, follow this checklist:
- Look at both numbers.
- Compare their values.
- Find the bigger number.
- Open the symbol toward the bigger number.
- Make sure the point faces the smaller number.
- Read the complete sentence to check your answer.
For example:
16 ___ 21
21 is bigger.
The symbol opens toward 21.
So:
16 < 21
Read it:
Sixteen is less than twenty-one.
If the sentence sounds correct, you are done.
Why These Symbols Are Useful?
The symbols > and < make comparisons quick.
Imagine having to write:
95 is greater than 72.
every time you compare numbers.
Instead, you can write:
95 > 72
This is shorter and easy to understand.
Mathematicians use these symbols in:
- addition and subtraction
- equations
- number lines
- word problems
- measurements
- science
- statistics
- graphs
- algebra
Learning these symbols early helps you understand more advanced math later.
Greater Than or Less Than Symbols in Everyday Math
You may use comparisons without even thinking about them.
If you are checking your bank balance, you might compare:
$100 > $50
If you are checking the number of pages in two books:
200 > 150
If you are comparing temperatures:
80 > 70
If you are comparing scores:
95 > 88
The same basic rule works every time.
Why These Symbols Matter in Everyday Life?
You may think that > and < are only used in math class. In fact, comparing things is part of everyday life.
Suppose you are shopping and see two prices:
$15 and $25
You immediately know that $15 is less than $25.
You could write:
15 < 25
Now imagine two children comparing their ages:
10 years and 12 years
You can write:
10 < 12
The same idea works with test scores:
92 > 85
A score of 92 is greater than a score of 85.
You might even compare the number of items you have:
18 books > 12 books
This means you have more books in the first group.
So, the symbols are not just marks on a math worksheet. They are a quick way to show relationships between numbers.
Greater Than or Less Than Symbols With Money
Money is a great way to practice number comparisons.
Imagine that one toy costs $18 and another costs $25.
Which toy costs more?
Twenty-five dollars.
So:
25 > 18
You can read it as:
Twenty-five dollars is greater than eighteen dollars.
Now imagine you have $10 and want to buy something that costs $15.
You can write:
10 < 15
Your money is less than the price.
This kind of comparison can help children understand why they may or may not have enough money to buy something.
More Money vs. Less Money
Remember:
Bigger amount → greater than
Smaller amount → less than
For example:
$50 > $35
and:
$20 < $40
The same symbols work whether you are comparing plain numbers or amounts of money.
Greater Than or Less Than Symbols With Time
You can also compare time.
Suppose one movie lasts 90 minutes and another lasts 120 minutes.
You can write:
90 < 120
The 90-minute movie is shorter.
Now compare 120 minutes with 90 minutes:
120 > 90
The 120-minute movie is longer.
You can use the same idea with ages.
For example:
15 > 10
A 15-year-old is older than a 10-year-old.
But remember that the symbol compares the numbers, not necessarily every quality of the things being discussed.
Greater Than or Less Than Symbols With Measurements
Measurements can also be compared.
For example:
5 kg < 8 kg
Five kilograms is less than eight kilograms.
Or:
12 inches > 7 inches
Twelve inches is greater than seven inches.
You can compare:
- length
- weight
- height
- distance
- temperature
- volume
- time
For example:
10 liters > 6 liters
This means 10 liters is a greater amount than 6 liters.
The symbol stays the same. Only the numbers change.
Using a Number Line to Understand the Symbols
A number line is one of the best tools for understanding comparisons.
Look at this simple number line:
1 — 2 — 3 — 4 — 5 — 6 — 7 — 8 — 9 — 10
As you move to the right, the numbers become greater.
As you move to the left, the numbers become smaller.
So:
8 > 3
because 8 is farther to the right.
And:
3 < 8
because 3 is farther to the left.
This gives you another memory rule:
Right = greater.
Left = less.
This is especially helpful when students begin working with negative numbers.
What Happens With Negative Numbers?
Negative numbers can make comparisons seem harder at first.
Consider:
-2 and -6
Which number is greater?
The answer is -2.
Why?
Look at the number line:
-6 — -5 — -4 — -3 — -2 — -1 — 0
-2 is farther to the right than -6.
So:
-2 > -6
This can feel strange because 6 is larger than 2 when we look at the numbers without their signs. But the negative sign changes their positions on the number line.
A simple rule is:
On a number line, the number farther to the right is greater.
That rule works for positive and negative numbers.
What Does Greater Than or Equal To Mean?
As you move into more advanced math, you may see this symbol:
≥
It means greater than or equal to.
The symbol includes the greater than sign and an equal sign.
For example:
x ≥ 5
This means x can be 5 or any number greater than 5.
Some examples are:
5 ≥ 5
6 ≥ 5
10 ≥ 5
All of these are true.
But:
4 ≥ 5
is false because 4 is not greater than 5 and is not equal to 5.
The important thing to remember is that ≥ allows equality.
What Does Less Than or Equal To Mean?
The symbol:
≤
means less than or equal to.
For example:
x ≤ 10
This means x can be 10 or any number smaller than 10.
Examples include:
10 ≤ 10
8 ≤ 10
3 ≤ 10
But:
12 ≤ 10
is false.
So:
- > = greater than
- ≥ = greater than or equal to
- < = less than
- ≤ = less than or equal to
- = = equal to
These symbols become very useful as math gets more advanced.
Common Mistakes People Make
Even after learning the basic rule, students can still make mistakes. Most of these mistakes are easy to fix.
Mistake 1: Thinking the Point Faces the Bigger Number
This is one of the most common mistakes.
Look at:
4 < 9
The point faces 4.
The open side faces 9.
So the point faces the smaller number, not the bigger one.
Remember:
Point = small.
Open mouth = big.
Mistake 2: Memorizing the Symbol Without Comparing
Some students memorize that > means greater than but forget to compare the numbers.
For example:
7 ___ 12
Do not choose a symbol just because it “looks right.”
First ask:
Which number is bigger?
The answer is 12.
Then make the open side face 12:
7 < 12
Mistake 3: Reading the Symbol Backward
Look at:
15 > 6
Some students may say:
15 is less than 6.
That is incorrect.
Start from the left:
15 is greater than 6.
Reading from left to right can help prevent this mistake.
Mistake 4: Forgetting That Equal Numbers Need =
Consider:
8 ___ 8
Neither number is bigger.
Neither number is smaller.
They are equal.
So the answer is:
8 = 8
Do not use > or < when the numbers are the same.
Mistake 5: Comparing Only One Digit
This can happen with larger numbers.
For example:
143 and 129
A student might look at the last digits, 3 and 9, and choose the wrong symbol.
Instead, compare from the left.
Both numbers have 1 hundred.
Then compare the tens:
4 tens vs. 2 tens.
So:
143 > 129
The first different place tells us which number is greater.
How to Teach Greater Than and Less Than to a Child?
If you are helping a child learn these symbols, start with real objects.
Place three pencils on one side and seven pencils on the other.
Ask:
Which group has more?
The child will probably point to seven.
Then explain:
3 < 7
Now reverse the comparison:
7 > 3
This helps the child understand the meaning before memorizing the symbols.
You can also use toys, blocks, coins, apples, or books.
For example:
Here are 4 apples. Here are 9 apples. Which group has more?
Once the child understands “more” and “less,” introduce the symbols.
This makes the symbols easier to understand.
A Fun Way to Practice
You can turn comparisons into a quick game.
Write two numbers on separate cards.
For example:
6 and 14
Ask the student to choose:
>, <, or =
The student first compares the numbers.
Then places the correct symbol between them:
6 < 14
Try another pair:
20 and 11
Answer:
20 > 11
Then use equal numbers:
15 and 15
Answer:
15 = 15
This simple game can build confidence without making math feel difficult.
Real-Life Comparison Examples on Greater Than or Less Than Symbols
Here are some everyday examples to make the idea stick.
Comparing Ages
Mia is 11. Leo is 14.
11 < 14
Leo is older.
Comparing Scores
Anna scored 95. Ben scored 88.
95 > 88
Anna scored more points.
Comparing Prices
One shirt costs $20. Another costs $35.
20 < 35
The first shirt costs less.
Comparing Distances
The park is 2 miles away. The school is 5 miles away.
2 < 5
The park is closer.
Comparing Temperatures
Monday was 75°F. Tuesday was 68°F.
75 > 68
Monday was warmer.
Comparing Quantities
One box has 12 pencils. Another has 20 pencils.
12 < 20
The second box has more pencils.
These examples show how often comparison appears in normal life.
A Simple Way to Check Your Answer
After choosing a symbol, read the complete sentence.
Suppose you wrote:
9 < 4
Read it:
Nine is less than four.
That does not sound correct.
So check your work.
The correct comparison is:
9 > 4
Read it:
Nine is greater than four.
This is a useful trick because reading the answer can help you catch a symbol mistake.
Quick Practice Questions
Try these before looking at the answers.
- 7 ___ 12
- 20 ___ 15
- 9 ___ 9
- 31 ___ 45
- 100 ___ 80
- 56 ___ 65
Answers
- 7 < 12
- 20 > 15
- 9 = 9
- 31 < 45
- 100 > 80
- 56 < 65
The key is always the same: compare the numbers first.
Final Teacher Explanation
Here is the whole lesson in the simplest way.
The symbol > means greater than. It tells us that the number on the left is bigger.
The symbol < means less than. It tells us that the number on the left is smaller.
The easiest memory trick is to imagine the symbol as a hungry mouth.
The mouth opens toward the bigger number.
For example:
10 > 4
The open side faces 10 because 10 is bigger.
And:
4 < 10
The open side still faces 10.
The pointed side always faces the smaller number.
If both numbers are the same, use:
=
For example:
8 = 8
So do not worry if > and < seem confusing at first. Compare the numbers, find the bigger one, and let the open side face it.
That simple habit will help you get the right answer again and again.
Quick Recap Greater Than or Less Than Symbols
Greater than or less than symbols help us compare numbers. > means greater than, while < means less than.
Remember: the open side faces the bigger number, and the point faces the smaller number. If both numbers are the same, use =.
Conclusion
Greater than or less than symbols make it easy to compare numbers. Remember that > means greater than and < means less than. The open side always faces the bigger number, while the point faces the smaller number.
With a little practice, these symbols become easy to use. Just compare the numbers first, choose the correct symbol, and read the full comparison to check your answer.
Frequently Asked Questions
What does the > symbol mean?
The > symbol means greater than. For example, 8 > 3 means 8 is greater than 3.
What does the < symbol mean?
The < symbol means less than. For example, 4 < 9 means 4 is less than 9.
Which way does the greater than symbol point?
The pointed end points toward the smaller number, while the open side faces the greater number.
How can I remember > and <?
Imagine the symbol is a hungry mouth. The mouth always opens toward the bigger number.
What is the difference between > and <?
> means greater than, while < means less than. They point in opposite directions.
What does = mean in math?
The = symbol means the two values are equal. For example, 6 = 6.
What does ≥ mean?
≥ means greater than or equal to. The number can be bigger than or exactly the same as the other number.
What does ≤ mean?
≤ means less than or equal to. The number can be smaller than or exactly the same as the other number.