Grade 3Matheasy
Compare the Numbers
Compare the Numbers — Comparisons worksheet for Grade 3.
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What Your Child Will Learn
- Identify and use comparison symbols (<, >, =) to correctly compare two-digit and three-digit numbers
- Determine which number is greater, lesser, or equal by analyzing place value in tens and ones positions
- Apply comparison strategies to solve 10 comparison problems with accuracy and confidence
How to Use This Worksheet
- Step 1: Review the three comparison symbols (<, >, =) with your student before starting. Create a quick reference chart they can see while working, showing what each symbol means in words.
- Step 2: Work through the first problem together as a model. Have your student read the two numbers aloud, identify which is larger, and then select the correct symbol with your guidance.
- Step 3: Have your student complete problems 2-5 independently while you observe. Pause after each problem to check their work and provide immediate feedback on symbol choice.
- Step 4: For problems 6-10, encourage your student to use a number line or hundred chart if they're unsure. This visual support helps them see which number is greater without guessing.
- Step 5: Review all 10 completed problems together, asking your student to explain WHY they chose each symbol. This builds reasoning skills and reveals any lingering misconceptions about comparisons.
Tips for Parents & Teachers
Use the 'alligator mouth' strategy where the comparison symbol's open side always 'eats' the bigger number. Many students reverse the symbols, so consistently reinforce this visual analogy throughout the worksheet.
Have your student verbally say the comparison aloud (e.g., '34 is less than 45') before writing the symbol. This helps them internalize the relationship between the numbers and reduces symbol confusion.
For numbers with the same tens digit (like 42 and 46), remind students to look at the ones place to determine which is greater. This is where Grade 3 students often make mistakes because they're still developing place value understanding.
Frequently Asked Questions
My child keeps confusing the < and > symbols. How can I help them remember which is which?
The 'alligator mouth' strategy is very effective for Grade 3 students. Explain that the alligator's mouth always opens toward the bigger number because it's 'hungry' for the larger number. You can even draw a simple alligator face with the symbol as its mouth. Practice saying 'The mouth eats the bigger number' several times, and your child will develop muscle memory for the symbol direction.
When should my child use each comparison symbol?
Use < (less than) when the first number is smaller, > (greater than) when the first number is larger, and = (equals) when both numbers are exactly the same. For example: 23 < 45 (23 is less than 45), 67 > 34 (67 is greater than 34), and 55 = 55 (55 equals 55). At Grade 3, focus mostly on < and > since equal numbers are straightforward.
My child struggles comparing three-digit numbers. What's the best strategy?
Teach students to compare place value from left to right, starting with the hundreds place. If the hundreds digits are different, that determines which number is larger. Only move to the tens place if the hundreds digits are the same. For example, 256 is greater than 189 because 2 (hundreds) is greater than 1 (hundreds), regardless of the other digits. This systematic approach prevents overwhelming your student.
How can I tell if my child truly understands comparisons or just guessing at symbols?
Ask them to explain their reasoning in words before writing the symbol. For instance, if they see 42 and 47, they should say something like 'They both have 4 tens, but 47 has more ones, so 47 is bigger.' If they can verbally explain the comparison, they understand it. If they're just guessing, they'll hesitate or give unclear explanations, signaling you need more practice with place value concepts.
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