Mastering Multiplication and Division with Significant Zeros

The video tutorial explains the rules for determining the significance of zeros in numbers and demonstrates how to apply these rules in calculations involving multiplication and division. It covers examples with different scenarios, such as zeros sandwiched between non-zero digits, zeros to the right of significant figures, and zeros in numbers with and without decimal points. The tutorial emphasizes rounding results to the correct number of significant figures.

What is the rule for determining if a 0 is significant when it is sandwiched between non-zero digits?

• It is always significant.

• It is never significant.

• It is significant only if there is a decimal point.

• It is significant only if it is at the end of the number.

How many significant figures does the number 32,000 have?

• One

• Four

• Three

• Two

When multiplying 307 and 32,000, to how many significant figures should the result be rounded?

• Two

• One

• Three

• Four

In the number 0.0, how many significant figures are there?

• Three

• Two

• One

• None

How many significant figures are in the number 150.0?

• Three

• One

• Four

• Two

When dividing numbers, how do you determine the number of significant figures in the result?

• Use the higher number of significant figures from the original numbers.

• Use the lower number of significant figures from the original numbers.

• Always round to three significant figures.

• Always round to two significant figures.

How many significant figures does the number 0.0005 have?

• Four

• Three

• One

• Two

When rounding the number 0.0005 to one significant figure, what is the result?

• 0.5

• 0.005

• 0.001

• 0.000

In the number 301, how many significant figures are there?

• Four

• Three

• Two

• One

When rounding the number 151 to three significant figures, what is the result?

• 150

• 151

• 153

• 152