Question

show the calculator answer, significant digits answer and identify the number of significant digits. show all work.
0.0945 x 1.47

make it more clear.

Answer 1

To calculate \( 0.0945 \times 1.47 \) while considering significant digits, follow these steps:

### Step 1: Perform the Calculation

Using a calculator:
\[
0.0945 \times 1.47 = 0.139215
\]

### Step 2: Determine the Significant Digits

#### Number of Significant Digits in Each Number

1. **For 0.0945**:
- There are four significant digits (9, 4, 5, and the leading zeros are not counted).

2. **For 1.47**:
- There are three significant digits (1, 4, and 7).

### Step 3: Determine the Result's Significant Digits

When multiplying numbers, the final answer should be rounded to the same number of significant digits as the factor with the least significant digits.

- The number with the least significant digits is **1.47** (3 significant digits).

### Step 4: Round the Calculator Answer

The calculator result is \( 0.139215 \). Since we need to round this to 3 significant digits, we look at the first three digits, \( 139 \), and the fourth digit, which is \( 2 \).

- Rounding \( 0.139 \) (when considering 3 significant digits):
- \( 0.139215 \) rounds to **0.139** (since the fourth digit \( 2 \) does not round the last significant digit up).

### Final Answer

**Calculator Answer**: \( 0.139215 \)

**Significant Digits Answer**: **0.139**

**Number of Significant Digits**: **3**

### Summary:
- Calculated: \( 0.139215 \)
- Rounded (to 3 significant digits): \( 0.139 \)
- Significant Digits in Final Result: **3**