Significant Figures in Calculations

This video tutorial explains how to multiply and divide numbers using significant figures. It provides examples of multiplying 25 by 15, dividing 7.654 by 2.3, and multiplying 10,000 by 2543, demonstrating how to round the results according to the number of significant figures in the original numbers. The video emphasizes that the final answer should not have more significant figures than the number with the fewest significant figures in the calculation.

When multiplying 25 by 15, how many significant figures should the final answer have?

• Two significant figures

• Four significant figures

• One significant figure

• Three significant figures

If the result of a multiplication is 375, and you need to round it to two significant figures, what would the result be?

• 380

• 375

• 390

• 370

In the division of 7.654 by 2.3, how many significant figures should the final answer have?

• One significant figure

• Two significant figures

• Three significant figures

• Four significant figures

What is the rounded result of dividing 7.654 by 2.3 to two significant figures?

• 3.5

• 3.2

• 3.4

• 3.3

When multiplying 10,000 by 2543, how many significant figures should the final answer have?

• One significant figure

• Four significant figures

• Three significant figures

• Two significant figures

What is the rounded result of multiplying 10,000 by 2543 to one significant figure?

• 25,000

• 20,000

• 30,000

• 35,000

Why are trailing zeros in 10,000 not considered significant?

• Because there is no decimal point

• Because they are in the middle of the number

• Because they are after a decimal point

• Because they are before a decimal point

What is the importance of using significant figures in calculations?

• To make numbers look bigger

• To ensure precision matches the least precise measurement

• To avoid using decimals

• To make calculations easier

What should you do if the digit used for rounding is 5 or greater?

• Round down

• Ignore the digit

• Round up

• Leave it as is

What is the final answer when rounding 25430 to one significant figure?

• 35,000

• 20,000

• 25,000

• 30,000