Worksheet: Percentages to Decimals

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

Q1:

Express 5 7 4 % as a decimal.

Q2:

Express 0 . 7 % as a decimal.

Q3:

Express 8 3 . 7 % as a decimal.

Q4:

Express 4 4 % as a decimal.

Q5:

Convert 4 6 2 5 % into a decimal.

Q6:

If the sales tax in a town is 2 . 3 4 % , express the percentage as a decimal.

Q7:

According to a recent survey, 2 1 % of people prefer apples over oranges. Express 2 1 % as a decimal.

Q8:

Express the percentage that represents the colored parts of the given figure.

Q9:

Nader did 3 2 % of the yard work while Maged did 1 4 % . Which decimal represents the amount of work they completed together?

Q10:

When preparing a cereal bowl for breakfast, 6 3 % of people put the cereal in first. Express 6 3 % 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 7 0 , 7 5 % c m
  • B 2 5 , 2 5 % c m
  • C 7 5 , 7 5 % c m
  • D 3 0 , 3 0 % c m
  • E 4 0 , 4 0 % c m

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?

  • A 0.3 m
  • B 0.75 m
  • C 0.7 m
  • D 0.25 m
  • E 0.4 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 3 2 . 8 9 % into a decimal.

Q13:

What fraction of a number is equivalent to 5 0 % ?

  • Afive-sevenths
  • Bfifth
  • Cfour-fifths
  • Dhalf

Q14:

Determine which of the following numbers is not equivalent to 2 5 . 6 % .

  • A0.256
  • B 2 5 6 1 0 0 0
  • C 2 5 . 6 1 0 0
  • D2.56
  • E 2 5 3 5 %

Q15:

A store offers customers a 3 0 % discount on the price 𝑥 of selected items. Then, the store takes off an additional 1 5 % at the cash register. Write a price function 𝑃 ( 𝑥 ) that computes the final price of the item in terms of the original price 𝑥 . (Hint: Use function composition to find your answer.)

  • A 𝑃 ( 𝑥 ) = 0 . 7 𝑥
  • B 𝑃 ( 𝑥 ) = 0 . 5 5 𝑥
  • C 𝑃 ( 𝑥 ) = 0 . 8 5 𝑥
  • D 𝑃 ( 𝑥 ) = 0 . 5 9 5 𝑥
  • E 𝑃 ( 𝑥 ) = 0 . 1 5 𝑥

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