Rounding Numbers to Significant Figures

The video tutorial explains how to round numbers to the correct number of significant figures. It covers the process of identifying significant figures, rounding rules, and handling numbers with and without decimals. The tutorial includes example problems to illustrate these concepts and discusses using scientific notation when a number has fewer significant figures than needed.

What is the first step in rounding a number to the appropriate number of significant figures?

• Round the number to the nearest whole number.

• Identify the significant figures from the left.

• Count all the digits in the number.

• Drop all the zeros in the number.

When rounding a number, what should you do if the digit to the right of the last significant figure is less than 5?

• Add 1 to the last significant figure.

• Drop the digit and keep the last significant figure as it is.

• Round up the last significant figure.

• Replace the digit with zero.

How would you round 23.45 to two significant figures?

• 23.5

• 24

• 23

• 23.4

If you have the number 38.16 and want to round it to three significant figures, what would the result be?

• 38.0

• 38.16

• 38.2

• 38.1

What is the rounded value of 20.005 to four significant figures?

• 20.01

• 20.000

• 20.00

• 20.005

When rounding a number without a decimal point, what should you do with the digits to the left of the decimal place?

• Keep them as they are.

• Drop them.

• Replace them with zeros.

• Round them up.

How would you round 492000 to two significant figures?

• 495000

• 490000

• 500000

• 492000

If a number has fewer significant figures than needed, what method can you use to represent it correctly?

• Round it to the nearest whole number.

• Use scientific notation.

• Add more zeros after the decimal point.

• Drop the extra digits.

How would you represent 3000 with two significant figures using scientific notation?

• 300 x 10^1

• 30 x 10^2

• 3.0 x 10^3

• 3 x 10^3

What is the benefit of using scientific notation for significant figures?

• It changes the value of the number.

• It makes the number larger.

• It simplifies the number.

• It allows for more precise representation.