Understanding Percentages and Ratios

The video tutorial covers the use of benchmarks in estimation, focusing on benchmark numbers and percents. It explains how to use double number lines to convert between percents and fractions, and compares fractions and percents using benchmarks. The tutorial also demonstrates converting ratios to percents and ordering them. The lesson concludes with a preview of the next topic on writing percents as decimals and fractions.

What is a benchmark in the context of estimation?

• A familiar number used as a reference point

• A tool for measuring exact quantities

• A method for calculating averages

• A statistical analysis technique

Which of the following is a benchmark percentage?

• 33 and a third%

• 15%

• 5%

• 90%

How can you express 25% as a fraction?

• 1/2

• 1/5

• 1/4

• 1/3

If one-tenth is equivalent to 10%, what is seven-tenths as a percentage?

• 60%

• 70%

• 90%

• 80%

Which is greater: two-thirds or 70%?

• Two-thirds

• Cannot be determined

• 70%

• They are equal

How do you convert the ratio 7 to 10 into a percentage?

• Multiply by 5

• Multiply by 100

• Multiply by 10

• Multiply by 20

What percentage is equivalent to the ratio 3 to 25?

• 8%

• 10%

• 12%

• 15%

If 48% of books are detective mysteries, what fraction is this approximately?

• 1/4

• 1/2

• 3/4

• 1/3

Which of the following ratios is the smallest when converted to a percentage?

• 12/10

• 4/5

• 3/4

• 7/20

What is the percentage equivalent of the ratio 12 to 10?

• 130%

• 110%

• 100%

• 120%