Comparing numbers is a foundational math skill. Students need to understand which quantity is greater or less before the symbols > and < mean anything, so the best instruction moves from real objects, to pictures, to numbers and symbols.
Step 1: Compare real quantities
Give students two small groups of objects and ask which group has more, fewer or the same. Lining the objects up side by side, one to one, makes the difference easy to see.
Step 2: Use a number line
On a number line, numbers get greater as you move to the right. Ask students to find two numbers and tell which is farther along. This builds a mental picture they can use without counting objects.
Step 3: Compare using place value
For two-digit numbers, compare the tens first. If the tens are the same, compare the ones. Base-ten blocks make this concrete: 42 has more tens than 38, so 42 is greater, even though 8 is greater than 2.
Step 4: Introduce the symbols
- > means “is greater than,” < means “is less than,” and = means “is equal to.”
- Read number sentences from left to right: 7 > 4 is read “7 is greater than 4.”
- Some teachers use a hungry alligator that “eats” the bigger number. It can be a helpful memory aid, but make sure students can also read the symbols in words.
Step 5: Order numbers from least to greatest
Ordering is comparing more than two numbers at once. Have students write numbers on cards and physically arrange them, then check the order on a number line. Challenge them to order the same set from greatest to least.
Quick practice ideas
- Card flip: Each partner flips a number card, and the greater number wins the round.
- Dice compare: Roll two dice to make a two-digit number, then compare with a partner.
- Human number line: Give each student a number and have the class line up from least to greatest.
Watch for common mistakes
- Comparing single digits instead of whole values, such as thinking 9 is greater than 21.
- Reading the symbols backward.
- Forgetting that “equal” is also an option.
Extra practice
For extra practice, our Greater Than Less Than Worksheets: Ordering Numbers Least to Greatest are available on Teachers Pay Teachers.