Rounding Numbers and Significant Figures

This video tutorial explains how to round numbers to the appropriate number of significant figures. It covers the rules for determining significant figures, including when zeros are considered significant. The tutorial provides examples and practice problems for rounding numbers to one, two, three, and four significant figures. It also discusses the use of scientific notation for rounding large numbers and emphasizes the importance of maintaining the correct number of significant figures in calculations.

When rounding the number 36.473 to four significant figures, which digit do you focus on?

• The second digit

• The first digit

• The fifth digit

• The fourth digit

Which of the following numbers has two significant figures?

• 0.0045

• 0.045

• 4.50

• 0.450

How would you round 8379 to three significant figures?

• 8.37

• 837

• 838

• 8.38

What is the correct way to round 0.754 to three significant figures?

• 0.74

• 0.750

• 0.754

• 0.75

How do you round 350,000 to three significant figures using scientific notation?

• 3.5 x 10^5

• 3.50 x 10^5

• 35 x 10^4

• 3.500 x 10^5

What is the result of rounding 439 to two significant figures?

• 440

• 43

• 44

• 400

How would you express 900,000 in scientific notation with two significant figures?

• 900 x 10^3

• 90 x 10^4

• 9.0 x 10^5

• 9 x 10^5

If you round 5,879 to one significant figure, what is the result?

• 5,800

• 5,900

• 6,000

• 5,000

What is the rounded value of 456 to one significant figure?

• 450

• 500

• 460

• 400

How do you round 5.21 to one significant figure?

• 5.0

• 5

• 5.2

• 6