Significant Figures Calculation

How do we calculate significant figures in multiplication?

When multiplying numbers, how should we consider the significant figures?

Answer:

When multiplying numbers, we need to consider the significant figures of each number. The rule is to round the result to the same number of significant figures as the least precise number used in the calculation. For example, when multiplying 628 x 342, both numbers have three significant figures. Therefore, the final answer should be rounded to three significant figures as well.

Significant figures are important in calculations as they indicate the precision of the measured values. When multiplying numbers, it is crucial to maintain the correct number of significant figures to ensure accuracy in the final result.

In the example of 628 x 342, both numbers have three significant figures each. Therefore, when we multiply them, the final answer should be rounded to three significant figures as well. In this case, the final answer is 214,296, which should be rounded to 214,000 to maintain three significant figures.

By understanding how to calculate significant figures in multiplication, we can accurately represent the precision of our calculations and ensure the reliability of our results.