# Worksheet: Percentages to Decimals

In this worksheet, we will practice converting percents to decimals for a set of rational numbers.

**Q2: **

Express as a decimal.

**Q4: **

Express as a decimal.

**Q5: **

Convert into a decimal.

**Q6: **

If the sales tax in a town is , express the percentage as a decimal.

**Q7: **

According to a recent survey, of people prefer apples over oranges. Express as a decimal.

**Q10: **

When preparing a cereal bowl for breakfast, of people put the cereal in first. Express as a decimal.

**Q11: **

A percent is a fraction where the denominator (i.e., the whole) is 100. In the diagram, a 100-centimeter ruler has been used to represent the whole.

What is the length of the shaded part in centimeters? What percent of the ruler is it?

- A
- B
- C
- D
- E

If now we use meter as a length unit and the ruler is one meter long, what is the length of the shaded part in meters?

- A0.4 m
- B0.3 m
- C0.25 m
- D0.75 m
- E0.7 m

The ratio of the length of the shaded part to that of the whole ruler can be expressed as a fraction, a percent (which is a fraction where the denominator is 100), or as a decimal. In the latter case, the decimal can be interpreted as the length of the shaded part when the whole is 1. Give this ratio as a decimal.

**Q12: **

Convert into a decimal.

**Q13: **

What fraction of a number is equivalent to ?

- Afive-sevenths
- Bfifth
- Chalf
- Dfour-fifths

**Q14: **

Determine which of the following numbers is not equivalent to .

- A
- B2.56
- C
- D0.256
- E

**Q16: **

If of a certain number is added to it, and then of the total is subtracted from the result, would the result be greater than, less than, or equal to the original number?

- Agreater than the original number
- Bless than the original number
- Cequal to the original number

**Q17: **

In a school, of the students signed up to visit a local zoo. Express this percent as a decimal.