Math Problem Statement

Tony rounded each of the numbers 1, 143, and 1,149 to the nearest hundred. Which choice correctly compares the rounded numbers?

Solution

To answer this question, let’s round each number to the nearest hundred.

  1. 143 rounds to 100 (because 143 is closer to 100 than 200).
  2. 149 rounds to 100 (149 is also closer to 100 than 200).

The number 1 remains 1 when rounded to the nearest hundred.

Now we analyze the choices:

  1. "1, 140 < 1, 150": This statement doesn't apply because none of the numbers round to 1,140 or 1,150.
  2. "1, 140 > 1, 150": This also doesn't apply for the same reason.
  3. "1, 100 = 1, 100": This also doesn't fit the rounded values.
  4. "1, 000 = 1, 000": This doesn’t apply either.

Given the choices, none seem to accurately reflect the correct rounding values. If there’s a typo in the options or an error in the question, please let me know.

Would you like a deeper analysis or have any questions?

Here are five related questions to deepen your understanding:

  1. How would rounding to the nearest ten change the results?
  2. What happens if we round numbers like 145 or 155?
  3. Can you create a rule for rounding based on decimal values?
  4. How does rounding work differently for positive and negative numbers?
  5. What are the steps to compare rounded values accurately?

Tip: When rounding, remember to always check if the last digit is 5 or more to round up.

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Math Problem Analysis

Mathematical Concepts

Rounding numbers
Number comparison

Formulas

Rounding to the nearest hundred

Theorems

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Suitable Grade Level

Grades 3-5