Question

Calculate the following using proper number of significant figurs (20.035×0.03120)/(4×0.333)

Answer 1

The result of
`\( (20.035 * 0.03120)/(4 * 0.333) \)` with the correct number of significant figures is approximately
`\(0.4700\)`.

To calculate the expression
`\( (20.035 * 0.03120)/(4 * 0.333) \)` with the correct number of significant figures, we need to consider the rules of significant figures in mathematical operations.

1. **Multiplication/Division Rule:** The result should have the same number of significant figures as the measurement with the fewest significant figures.

-
`\(20.035\)` has five significant figures.

-
`\(0.03120\)` has four significant figures.

-
`\(4\)` is an exact number (no uncertainty, infinite significant figures).

-
`\(0.333\)` has three significant figures.

2. **Perform the Calculation:**

`\[ (20.035 * 0.03120)/(4 * 0.333) \]`

`\[ (0.626772)/(1.332) \]`

3. **Determine the Result:**

`\[ (0.626772)/(1.332) \approx 0.4699437 \]`

4. **Round the Result:**

Considering the significant figures of the input values, the result should be rounded to four significant figures.

`\[ 0.4699437 \approx 0.4700 \]`