Math Problem Statement

Tony rounded each of the numbers 1,183 and 1,145 to the nearest hundred. Which choice correctly compares the rounded numbers?
A) 1,200 < 1,100 B) 1,100 = 1,100 C) 1,180 > 1,150 D) 1,200 > 1,100

Solution

Let's round each number to the nearest hundred:

  • 1,183 rounded to the nearest hundred is 1,200 (since 83 is closer to 100 than 0).
  • 1,145 rounded to the nearest hundred is 1,100 (since 45 is closer to 100 than 0).

Now, let's compare the rounded numbers:

  • 1,200 is greater than 1,100.

So, the correct comparison is:

D) 1,200 > 1,100

Would you like more details or have any questions?

Here are 5 related questions for practice:

  1. What is 2,567 rounded to the nearest hundred?
  2. Round 4,822 to the nearest hundred and compare it to 4,600.
  3. Compare 3,457 and 3,493 when rounded to the nearest hundred.
  4. How do you round 7,599 to the nearest hundred?
  5. Is 6,450 greater or less than 6,550 when rounded to the nearest hundred?

Tip: When rounding, if the digit in the tens place is 5 or greater, round up. If it's less than 5, round down.

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Math Problem Analysis

Mathematical Concepts

Rounding Numbers
Comparison of Numbers

Formulas

Rounding rule: If the digit in the tens place is 5 or greater, round up; if it is less than 5, round down.

Theorems

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Suitable Grade Level

Grades 4-6