Worksheet: Percentages to Decimals

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

Q1:

Express 574% as a decimal.

Q2:

Express 0.7% as a decimal.

Q3:

Express 83.7% as a decimal.

Q4:

Express 44% as a decimal.

Q5:

Convert 4625% into a decimal.

Q6:

If the sales tax in a town is 2.34%, express the percentage as a decimal.

Q7:

According to a recent survey, 21% of people prefer apples over oranges. Express 21% as a decimal.

Q8:

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

  • A 7 5 %
  • B 0 . 7 5 %
  • C 6 %
  • D 1 8 %
  • E 3 7 %

Q9:

Mason did 32% of the yard work while Benjamin did 14%. Which decimal represents the amount of work they completed together?

Q10:

When preparing a cereal bowl for breakfast, 63% of people put the cereal in first. Express 63% 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 5 , 7 5 % c m
  • B 4 0 , 4 0 % c m
  • C 3 0 , 3 0 % c m
  • D 7 0 , 7 5 % c m
  • E 2 5 , 2 5 % 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?

  • 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 32.89% into a decimal.

Q13:

What fraction of a number is equivalent to 50%?

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

Q14:

Determine which of the following numbers is not equivalent to 25.6%.

  • A 2 5 3 5 %
  • B2.56
  • C 2 5 . 6 1 0 0
  • D0.256
  • E 2 5 6 1 , 0 0 0

Q15:

A store offers customers a 30% discount on the price 𝑥 of selected items. Then, the store takes off an additional 15% 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 . 1 5 𝑥
  • E 𝑃 ( 𝑥 ) = 0 . 5 9 5 𝑥

Q16:

If 62% of a certain number is added to it, and then 62% 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, 3815% of the students signed up to visit a local zoo. Express this percent as a decimal.

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