Math Problem Statement

The part of the moon that has been explored by astronauts is about 109.73 meters long by about 68.58 meters wide. What is the area of the moon that has been explored by astronauts? Round to the nearest hundredth, as needed.

HINT: The area is the length times the width. A. 7525.3 B. 7.53 x 10^3 C. 7.53 x 10^4 D. 752

Solution

To find the area of the moon that has been explored by astronauts, we will multiply the given length and width.

Area=Length×Width\text{Area} = \text{Length} \times \text{Width} Area=109.73m×68.58m\text{Area} = 109.73 \, \text{m} \times 68.58 \, \text{m}

Let's calculate:

Area=7525.3434m2\text{Area} = 7525.3434 \, \text{m}^2

Rounding this value to the nearest hundredth, we get:

Area7525.34m2\text{Area} \approx 7525.34 \, \text{m}^2

Now, comparing this with the answer choices:

  • A. 7525.3
  • B. 7.53×1037.53 \times 10^3
  • C. 7.53×1047.53 \times 10^4
  • D. 752

The correct answer is:

A.7525.3\boxed{A. 7525.3}

Would you like more details or have any questions?

Here are some related questions:

  1. How do you convert a number to scientific notation?
  2. What would the area be if the dimensions were doubled?
  3. How do you calculate the perimeter of the same explored area?
  4. What is the difference between rounding to the nearest whole number and the nearest hundredth?
  5. How can we convert square meters to square kilometers?

Tip: When multiplying or dividing numbers, remember to always check if rounding is needed, especially in real-world applications!

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Math Problem Analysis

Mathematical Concepts

Area Calculation
Multiplication

Formulas

Area = Length × Width

Theorems

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Suitable Grade Level

Grades 6-8