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How many significant digits would 6.08times 9.2 have in the answer?

Question

How many significant digits would 6.08times 9.2 have in the answer?

How many significant digits would 6.08times 9.2 have in the answer?

Solution

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VivianMaster · Tutor for 5 years

Answer

### 2

Explain

## Step 1: Significant Digits of 6.08<br />### The number 6.08 has three significant digits (6, 0, and 8). The zero is significant because it is between two non-zero digits.<br />## Step 2: Significant Digits of 9.2<br />### The number 9.2 has two significant digits (9 and 2).<br />## Step 3: Multiplication Result<br />### $6.08 \times 9.2 = 55.936$<br />## Step 4: Determining Significant Digits in the Product<br />### When multiplying, the result should have the same number of significant digits as the factor with the fewest significant digits. In this case, 9.2 has two significant digits, so the answer should also have two significant digits.<br />## Step 5: Rounding to Two Significant Digits<br />### Rounding 55.936 to two significant digits gives 56.
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