Compare Three-Digit Numbers

Grade 2 · mathematics · 100 practice problems · read aloud

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What is Comparing Three-Digit Numbers? 🤔

Comparing numbers means figuring out which number is greater than (>), less than (<), or equal to (=) another number. This helps us put things in order, like knowing who has more stickers or which line is shorter!

How to Compare Numbers: Step-by-Step

  1. Step 1: Look at the HUNDREDS place first. The number with the larger hundreds digit is the bigger number.
  2. Step 2: If the hundreds are the same, look at the TENS place. The number with the larger tens digit is bigger.
  3. Step 3: If the tens are also the same, look at the ONES place. The number with the larger ones digit is bigger.
  4. Step 4: If all digits are the same, the numbers are equal!

Let's Look at Some Examples!

Example 1: Compare 437 and 592

Step 1: Look at the hundreds place. 4 hundreds vs. 5 hundreds. Since 5 is greater than 4, we know 592 > 437. All done! ✅

Example 2: Compare 364 and 328

Step 1: Hundreds are the same (3 and 3).
Step 2: Look at the tens place. 6 tens vs. 2 tens. Since 6 is greater than 2, we know 364 > 328. ✅

Example 3: Compare 715 and 719

Step 1: Hundreds are the same (7 and 7).
Step 2: Tens are the same (1 and 1).
Step 3: Look at the ones place. 5 ones vs. 9 ones. Since 5 is less than 9, we know 715 < 719. ✅

Watch Out for These Common Mistakes! ⚠️

Mistake 1: Starting from the ones place. Always start from the left with the hundreds!

Mistake 2: Mixing up the "greater than" (>) and "less than" (<) symbols. Remember, the "alligator mouth" always opens to eat the bigger number! 🐊

Tips & Tricks to Remember

  • Think of the digits like a race! The hundreds place is the most important. If there's a tie, then check the tens, and then the ones.
  • Use a Place Value Chart! Write the numbers one on top of the other to compare each place easily.
  • Remember the alligator: The open mouth always wants to eat the bigger, tastier number!

How to Practice

You can get great at this by:

  • Playing card games: Draw three cards to make a number and compare with a friend!
  • Using online math games that focus on comparing numbers.
  • Asking a grown-up to write down two numbers for you to compare every day.

Practice problems

6 of the 100, worked through step by step — try them before opening the answer.

1 456 > 398 ?

  1. A) true
  2. B) false

Hint: Compare the hundreds place first. If they are the same, look at the tens place.

Show the answer

Answer: A) true

  1. Compare the two numbers: 456 and 398.
  2. Start by comparing the digits from left to right. First, compare the hundreds place. 456 has a 4 in the hundreds place. 398 has a 3 in the hundreds place. Since 4 is greater than 3, 456 is already larger than 398.
  3. When the hundreds digit is larger, the number is larger, so no need to check the tens or ones digits.
  4. Therefore, 456 > 398 is true. Final Answer: true

2 324 > 298 = ?

  1. A) false
  2. B) true

Hint: Compare the hundreds place first. If they are the same, look at the tens place.

Show the answer

Answer: B) true

  1. Write the numbers one above the other for easy comparison. 324 298
  2. Compare the digits from left to right. First digit (hundreds place): 324 has 3 hundreds. 298 has 2 hundreds.
  3. Since 3 > 2, the number with more hundreds is larger. We don't need to check the tens and ones places because the hundreds digit already tells us 324 is greater than 298.
  4. Therefore, the statement "324 > 298" is true. Final answer: true

Let's compare the two numbers step by step.

3 345 > 254 = ?

  1. A) true
  2. B) false

Hint: Compare the hundreds place first. If they are different, the number with the larger hundreds digit is greater.

Show the answer

Answer: A) true

  1. Compare the hundreds place. 345 has 3 hundreds. 254 has 2 hundreds. Since 3 > 2, the number 345 is greater than 254.
  2. Even if we check further digits for completeness: Tens place: 345 has 4 tens, 254 has 5 tens. But since the hundreds place already determined that 345 is greater, the rest of the digits don't change that.
  3. Conclusion 345 > 254 is a true statement. Answer: true

Let's compare the two numbers step by step.

4 245 < 254 = ?

  1. A) false
  2. B) true

Hint: Compare the hundreds, then tens, then ones digits from left to right.

Show the answer

Answer: B) true

  1. Read the problem carefully. The problem says: 245 < 254 = ? This means we are checking if 245 is less than 254.
  2. Compare the two numbers digit by digit from left to right. Both numbers have the same hundreds digit: 2. So we move to the tens digit.
  3. Compare the tens digits. 245 has tens digit 4. 254 has tens digit 5. Since 4 is less than 5, we can already conclude that 245 is less than 254.
  4. Since 245 is less than 254, the statement "245 < 254" is true.
  5. Therefore,

the correct answer is: true

5 356 > 287 = ?

  1. A) false
  2. B) true

Hint: Compare the hundreds place first. If they are different, the number with the larger digit in that place is greater.

Show the answer

Answer: B) true

  1. Understand the problem. We are asked whether 356 is greater than 287. This is a true or false question.
  2. Compare the numbers digit by digit from left to right. Both numbers have three digits.
  3. Compare the hundreds place. 356 has 3 hundreds. 287 has 2 hundreds. Since 3 > 2, we already know 356 is greater than 287.
  4. Conclusion. The statement "356 > 287" is true. Final answer: true

6 356 > 275 = ?

  1. A) true
  2. B) false

Hint: Compare the hundreds digits first. If they are different, the number with the larger hundreds digit is greater.

Show the answer

Answer: A) true

  1. Compare the hundreds place. - 356 has a hundreds digit of 3, meaning 300. - 275 has a hundreds digit of 2, meaning 200. - Since 300 is greater than 200, 356 is greater than 275.
  2. Even if the hundreds digits were the same, we would check the tens place, but here it is not needed because the hundreds digits already differ.
  3. Conclusion. - 356 > 275 is a true statement. Final answer: true

We are comparing two numbers: 356 and 275.

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