Math Problem Statement

Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits.

0.934cm x 0.325 cm = cm2

Solution

To multiply the measurements 0.934cm0.934 \, \text{cm} and 0.325cm0.325 \, \text{cm}, follow these steps:

  1. Multiply the numbers:

0.934×0.325=0.30355cm20.934 \times 0.325 = 0.30355 \, \text{cm}^2

  1. Determine the number of significant digits:

    • 0.9340.934 has 3 significant digits.
    • 0.3250.325 also has 3 significant digits.
  2. Round the result to the correct number of significant digits:

    • The result 0.303550.30355 should be rounded to 3 significant digits.

Rounded result=0.304cm2\text{Rounded result} = 0.304 \, \text{cm}^2

So, the final answer is 0.304 cm².

Would you like further details, or do you have any questions?

Here are 5 related questions you might find useful:

  1. How do you determine the number of significant digits in a measurement?
  2. What are the rules for rounding numbers when performing multiplication or division?
  3. How would the answer change if you multiplied 1.234cm×0.325cm1.234 \, \text{cm} \times 0.325 \, \text{cm}?
  4. Why is it important to consider significant digits in scientific measurements?
  5. How do you handle significant digits when adding or subtracting measurements?

Tip: When multiplying or dividing, the final answer should have the same number of significant digits as the measurement with the fewest significant digits.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Significant Figures

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12