Study the Example showing how to compare three-digit numbers. Then solve problems

High school
1

Study the Example showing how to compare three-digit numbers. Then solve problems 1-8. EXAMPLE Compare 217 and 234. 217 = 2 hundreds + 1 ten + 7 ones 234 = 2 hundreds + 3 tens + 4 ones The hundreds are the same. Compare the tens. 1 ten is less than 3 tens. 217 < 234 Cam has 482 marbles. Joe has 439 marbles

2

Sure! Let’s go through a detailed explanation on how to compare three-digit numbers, using the example you provided. Then, I’ll help you solve problems 1-8 related to this concept.

How to Compare Three-Digit Numbers

When we compare three-digit numbers, we look at the value of each digit beginning from the leftmost side, which is the hundreds place, followed by the tens place, and finally the ones place.

Steps to Compare Three-Digit Numbers:

  1. Compare the Hundreds Place:

    • The number with the greater digit in the hundreds place is the larger number.

  2. Compare the Tens Place (if hundreds are equal):

    • If the hundreds digits are the same, check the tens digits. The one with the greater tens digit is the larger number.

  3. Compare the Ones Place (if both hundreds and tens are equal):

    • If both the hundreds and tens digits are the same, look at the ones digits. The number with the greater ones digit will be the larger number.

Example: Compare 217 and 234

  • 217: Break it down into 2 hundreds, 1 ten, and 7 ones.
  • 234: Break it down into 2 hundreds, 3 tens, and 4 ones.

  1. Compare hundreds:

    • Both numbers have 2 hundreds.

  2. Compare tens:

    • 1 ten (in 217) is less than 3 tens (in 234).

Therefore, 217 < 234.

Problem: Who has more marbles, Cam or Joe?

  • Cam: 482 marbles
  • Joe: 439 marbles

Break down the numbers:

  • 482:

    • 4 hundreds
    • 8 tens
    • 2 ones

  • 439:

    • 4 hundreds
    • 3 tens
    • 9 ones

Comparison:

  1. Compare hundreds:

    • Both have 4 hundreds.

  2. Compare tens:

    • Cam has 8 tens whereas Joe has 3 tens.

Here, 8 tens is greater than 3 tens, so 482 is greater than 439.

Cam has more marbles than Joe.

Solve Problems 1-8: Comparing Three-Digit Numbers

I’ll assist you with the approach to solve problems by following the steps outlined above. You just have to apply the comparison skills learned.

Problem Samples:

  1. Compare 356 and 368.

    • 356: 3 hundreds, 5 tens, 6 ones
    • 368: 3 hundreds, 6 tens, 8 ones

    Start with hundreds, both are 3. Move to tens where 6<5.

    So, 356 < 368.

  2. Compare 245 and 179.

    • 245: 2 hundreds, 4 tens, 5 ones
    • 179: 1 hundred, 7 tens, 9 ones

    At the hundreds level, 2 hundreds > 1 hundred.

    Therefore, 245 > 179.

Continue this technique for problems 3-8, breaking each number into its components of hundreds, tens, and ones, and compare step by step. If you need explanations on specific problems from 1-8, feel free to let me know!

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