How many significant figures does 134.5 x 42 have?

To determine the number of significant figures in the result of \( 134.5 \times 42 \), follow these steps:

1. **Identify significant figures in each number:**
   - **134.5** has **4 significant figures**.
   - **42** has **2 significant figures**.

2. **Determine the significant figures in the product:**
   - The result should have the same number of significant figures as the number with the **fewest significant figures** in the multiplication.
   - Since **42** has 2 significant figures, the final result should also be rounded to **2 significant figures**.

Now, calculate:

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

Rounding 5,649 to 2 significant figures gives **5,600**.

So, the product \( 134.5 \times 42 \) has **2 significant figures**.

Would you like more details or have any questions?

Here are some related questions:

1. How do you round numbers to a certain number of significant figures?
2. What are the rules for significant figures when adding and subtracting?
3. How do significant figures affect results in scientific calculations?
4. How do you multiply numbers in scientific notation with significant figures?
5. What happens to significant figures when dividing two numbers?

**Tip:** When multiplying or dividing, the number of significant figures in the final answer should match the number with the fewest significant figures in the original data.

Understand how to determine the number of significant figures in the product of 134.5 and 42 through step-by-step explanation. Learn the rules of significant figures and their application in multiplication. Suitable for high school students and those interested in precision in scientific calculations.

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