To determine the number of significant figures in the product of \( 134.5 \times 42 \), we must first identify the significant figures in each number:

1. **134.5** has **4 significant figures**.
2. **42** has **2 significant figures**.

When multiplying numbers, the product should be rounded to the number of significant figures in the factor with the fewest significant figures. In this case, that is **2 significant figures** (from 42).

Now let's calculate the product:

\[
134.5 \times 42 = 5,649
\]

Rounding this result to 2 significant figures gives:

\[
5,649 \approx 5,600
\]

So, the result of \( 134.5 \times 42 \), expressed with the correct number of significant figures, is **5,600**.

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. What are the rules for determining significant figures?
2. How do you handle significant figures in addition and subtraction?
3. How does rounding work when the digits to be removed are exactly halfway (e.g., 5)?
4. How do significant figures apply to division?
5. What is the difference between significant figures and decimal places?

**Tip**: When performing calculations, always round at the end to avoid cumulative rounding errors!

Discover how to determine the number of significant figures in the product of 134.5 × 42. This step-by-step guide explains the multiplication rule for significant figures and shows how to round the result to 2 significant figures, yielding a final answer of 5,600. Ideal for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation