Question

show the calculator answer, significant digits answer and identify the number of significant digits. show all work.
.009430 x 43 10.9

make it more clear.

Answer 1

To solve the problem using the provided quantities, we'll follow these steps:

1. **Identify the values from the problem**:
- Value 1: \( 0.009430 \)
- Value 2: \( 43 \)
- Value 3: \( 10.9 \)

2. **Determine significant digits for each number**:
- \( 0.009430 \): This number has **4 significant digits** (the leading zeros are not significant).
- \( 43 \): This number has **2 significant digits** (both digits are significant).
- \( 10.9 \): This number has **3 significant digits** (all digits are significant).

3. **Perform the calculation**:
- We will start by multiplying the three values together:
\[
0.009430 \times 43 \times 10.9
\]

4. **Calculator Work**:
- Start by multiplying \(0.009430 \times 43\):
\[
0.009430 \times 43 = 0.40559
\]

- Next, multiply the result by \(10.9\):
\[
0.40559 \times 10.9 = 4.409921
\]

5. **Applying Significant Figures**:
After performing the calculation, we need to round the result \(4.409921\) based on the number with the least significant digits.

- The number \(0.009430\) has **4 significant figures**.
- The number \(43\) has **2 significant figures**.
- The number \(10.9\) has **3 significant figures**.

The number with the least significant digits is \(43\), which has **2 significant figures**.

6. **Rounding the result**:
- The result of \(4.409921\) when rounded to 2 significant figures is \(4.4\).

### Final Summary:
- **Calculator Answer**: \(4.409921\)
- **Rounded (Significant Figures)**: \(4.4\)
- **Number of Significant Digits in Final Answer**: **2 significant digits**.

So, the final answer to the multiplication is **4.4** with **2 significant digits**.