Question

show the calculator answer, significant digits answer and identify the number of significant digits. show all work.
10. / 3
make it more clear.

Answer 1

To perform the division \( 10 \div 3 \) and identify significant digits, let's follow these steps:

### Step 1: Perform the Calculation

Perform the division using a calculator:

\[
10 \div 3 = 3.3333\overline{3}
\]

### Step 2: Analyze the Significant Digits

1. **Identifying Significant Digits**:
- The number **10** has **2 significant digits** (the digits 1 and 0).
- The number **3** has **1 significant digit** (the digit 3).

When performing calculations, the result should be reported with the least number of significant digits based on the input values.

2. **Determining the Number of Significant Digits in the Result**:
- Since **3** (the divisor) has the least significant digits (1 significant digit), the result should be rounded to **1 significant digit**.

### Step 3: Rounding the Result

From the calculated result \(3.3333\overline{3}\):

- To round \(3.3333\overline{3}\) to **1 significant digit**, we look at the first digit (3) and the second digit (3) to determine whether to round up or down.
- Because the second digit (3) is less than 5, we round down and keep just the first digit.

Thus, \(3.3333\) rounded to **1 significant digit** becomes:

\[
\text{Rounded result} = 3
\]

### Conclusion

- **Calculator Answer**: \(3.3333\overline{3}\)
- **Significant Digits Answer**: \(3\)
- **Number of Significant Digits**: \(1\)

This process illustrates how to perform the calculation with significant digits consideration step by step.