Comparing three-digit numbers with >, =, and <
In 2nd grade, children learn to compare two three-digit numbers by looking at hundreds, then tens, then ones, and to record the result with >, =, or <.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
Try these with your child
These are real questions from our 2nd grade practice. Tap the speaker to hear one read aloud, or the light bulb for a hint, and talk about the answer together.
Question 1 of 3
Which number is greater: 452 or 425?
- They are equal
- 452
- 425
Why this matters
Telling which of two numbers is bigger helps your child judge whether an answer makes sense. Putting numbers in order is something every later grade relies on: in 3rd grade it supports rounding to the nearest 10 or 100, and in 4th and 5th grade the same biggest-place-first thinking compares thousands and decimals. Everyday choices use it too, such as picking which of two books has more pages.
Where kids can get stuck
- Comparing digits from the right, deciding 298 is greater than 301 because 8 ones beats 1 one.
- Assuming a number with bigger digits is bigger, such as believing 199 is more than 210.
- Mixing up the > and < symbols, so the written statement says the opposite of what they meant.
How you can help
- Compare two house numbers on your street, such as 248 and 284, by looking at the hundreds first, then the tens, and talk about which digit decided which is bigger.
- Play a card game where each player turns over three digit cards and arranges them to make the biggest possible number. Compare and talk about why the hundreds digit matters most.
- Compare page counts of two books on the shelf, or two distances on road signs, and ask your child to write a comparison with the right symbol.
The kid-friendly video below explains it in a few minutes, and Bobby's Math Club offers free practice that grows with your child.
Kid-friendly explanation
Questions parents ask
Why is my child comparing numbers using hundreds, tens, and ones?
Comparing by place value helps your child understand why one number is greater. Since a hundred is worth more than all the tens and ones that can fit below it, the hundreds digit usually decides. This understanding helps with estimating, ordering numbers, and checking answers in later grades.
My child thinks 199 is bigger than 210. What should I do?
This usually means your child is focusing on how big the digits look rather than on their places. Build both numbers with play money or bundles: 1 hundred, 9 tens, 9 ones versus 2 hundreds, 1 ten, 0 ones. Seeing that 2 hundreds is more than 1 hundred, even with fewer tens, makes the idea clear.
How can my child remember what the symbols mean?
A common tip is that the wide, open side of the symbol faces the bigger number, and the point faces the smaller one. Reading the statement aloud from left to right, such as "427 is greater than 399," helps your child check that it makes sense.
Make learning math fun
Bobby's Math Club turns 2nd grade math practice into something fun to do together.
- Unlimited practice, completely free
- Questions matched to your child’s level, a few minutes a day
- Hints when they are stuck, and a celebration when it clicks
Written by Robert “Bobby” Barnett
Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.
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Join the clubNote for teachers: This skill is covered by Common Core math standard 2.NBT.A.4: “Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.” Learn how Bobby's Math Club can help your students grow. (Common Core 2.NBT.4)