**Solve the problem. Select the choice that indicates the correct answer and the correct number of significant figures for each measurement. You may use a calculator.**

11 700 - 5143

To solve the subtraction problem \( 11,700 - 5,143 \), we follow these steps:

1. **Perform the Subtraction:**

   \[
   11,700 - 5,143 = 6,557
   \]

2. **Determine Significant Figures:**
   - The number 11,700 has 3 significant figures (since trailing zeros in the absence of a decimal point are not considered significant).
   - The number 5,143 has 4 significant figures.

According to the rules for significant figures in subtraction, the result should be rounded to match the smallest number of decimal places of any number in the calculation. Both 11,700 and 5,143 are whole numbers, so we consider the number with fewer significant figures.

Since 11,700 has 3 significant figures, we should express our result with the same number of significant figures:

- \( 6,557 \) rounded to 3 significant figures is \( 6,560 \).

**Answer: \( 6,560 \) with 3 significant figures.**

Would you like more details or have any questions about the calculation?

Here are 5 related questions:

1. How do you determine the number of significant figures in a number?
2. What are the rules for significant figures in addition and subtraction?
3. How would the answer change if the numbers had been written as \(11.7 \times 10^3\) and \(5.143 \times 10^3\)?
4. What if the subtraction involved decimal numbers, like \(11,700.0 - 5,143.2\)?
5. How do significant figures affect the precision of scientific measurements?

**Tip:** Always align the decimal points when performing operations with significant figures to ensure consistency in your calculations.

Solve the problem. Select the choice that indicates the correct answer and the correct number of significant figures for each measurement. You may use a calculator.

11 700 - 5143

Discover how to solve the subtraction problem 11,700 - 5,143 while applying the rules for significant figures. This detailed guide will show you how to perform the calculation and round the answer to the correct number of significant figures. Ideal for students in Grades 7-10.

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