Grade 3Mathmedium
Greater or Less?
Greater or Less? — Comparisons worksheet for Grade 3.
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What Your Child Will Learn
- Identify whether a given number is greater than, less than, or equal to another number using comparison symbols (>, <, =)
- Apply understanding of place value to compare two-digit and three-digit numbers accurately
- Solve comparison problems by analyzing tens and ones places to determine which number is greater or less
- Explain reasoning for comparison decisions using place value language (e.g., 'The tens place shows...')
How to Use This Worksheet
- Step 1: Review the comparison symbols before starting. Show your child the greater than (>), less than (<), and equal to (=) symbols. Use the alligator mouth visual or point out that the open side faces the larger number.
- Step 2: Work through the first 2-3 problems together as a model. For each problem, ask your child to identify the tens place in both numbers first, then the ones place if the tens are the same. Have them verbalize their thinking: 'The first number has 3 tens and the second has 2 tens, so the first is greater.'
- Step 3: Guide your child to write the correct symbol in each box, saying the complete sentence aloud (e.g., '35 is greater than 28'). This reinforces the meaning of the symbol beyond just recognizing it.
- Step 4: Have your child complete problems 4-10 independently while you observe. Prompt them with questions like 'Which tens place is bigger?' if they hesitate, rather than giving the answer.
- Step 5: Review all 10 answers together. For any mistakes, have your child re-examine the tens place first and build the numbers with manipulatives if needed to see the difference concretely.
Tips for Parents & Teachers
Help students avoid the common mistake of comparing only the first digit they see. Teach them to always start with the largest place value (tens or hundreds) and work right. For example, in comparing 24 and 19, students might incorrectly think 19 is larger because 9 looks big—reinforce that the 2 tens in 24 makes it larger regardless of the ones digit.
Use physical manipulatives like base-ten blocks or even coins to make comparisons concrete. Let students build two numbers with blocks, then physically compare which pile is taller or has more pieces. This sensory approach helps cement the concept before moving to abstract symbols.
Create a consistent left-to-right reading habit with comparison symbols. Many G3 students reverse > and < symbols. Use the 'alligator mouth' strategy: the open mouth always eats the bigger number. Practice having students verbally say 'is greater than' or 'is less than' aloud while pointing to each side of the symbol.
Frequently Asked Questions
Why do students at this level struggle with the < and > symbols?
Third graders are still developing directional awareness and symbol recognition. The symbols look similar and don't have obvious meaning like = does. The 'alligator mouth' strategy works because it creates a memorable visual metaphor—the mouth opens toward the bigger number it's 'eating.' Consistent practice with this language ('the open side faces the greater number') combined with writing the symbols repeatedly helps cement the pattern.
My child gets the comparison right but writes the wrong symbol. What should I do?
This is very common at G3 level. Have your child first say or write the word form ('45 is greater than 32'), then match it to the symbol. This separates the comparison concept from symbol recognition. Practice filling in just the comparison word (greater/less) without symbols for a few problems, then add the symbols back in once they're confident with the concept.
How do I know if my child is ready for three-digit number comparisons on this worksheet?
If your child confidently compares two-digit numbers by looking at the tens place first, they're ready. Three-digit comparisons use the same strategy—just start with the hundreds place instead. If they struggle with two-digit comparisons, focus on building fluency there with place value blocks or drawings before moving to three-digit numbers.
Should I allow my child to count on their fingers or use manipulatives while doing this worksheet?
Yes, absolutely. For G3 students working at medium difficulty, using manipulatives or visual aids supports understanding and builds confidence. The goal is comparison mastery, not speed. As they practice and gain confidence, reliance on these tools will naturally decrease. Only discourage them if they're using them as a delay tactic rather than a learning tool.
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