Question

Round the following multiplication to the appropriate number of significant figures:

a. 2.34 x 4.5685.

Answer 1

When multiplying numbers, round the result to the same number of significant figures as the number with the fewest significant figures.

Step-by-step explanation:

When multiplying numbers, we round the result to the same number of significant figures as the number with the fewest significant figures.

For example, for 0.424 (to two significant figures), we look at the second decimal place. Since it is less than 5, we round down and get 0.42.

Similarly, for 0.0038661 (to three significant figures), we look at the fourth decimal place. Since it is equal to 5 or more, we round up and get 0.00387.

Using this rule, you can round the multiplication 2.34 x 4.5685 to the appropriate number of significant figures.

1. Count the significant figures in each number being multiplied. In this case, 2.34 has three significant figures and 4.5685 has five.
2. Choose the number with the fewest significant figures, which is three in this case.
3. Round the result to three significant figures: 10.69.