# Lesson Worksheet: Percentages to Decimals Mathematics • 6th Grade

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

Q1:

Express as a decimal.

Q2:

Express as a decimal.

Q3:

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.

Q8:

Express the percentage that represents the colored parts of the given figure. • A
• B
• C
• D
• E

Q9:

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

Q10:

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.

Q11:

Convert into a decimal.

Q12:

What fraction of a number is equivalent to ?

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

Q13:

Determine which of the following numbers is not equivalent to .

• A
• B2.56
• C
• D0.256
• E

Q14:

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

Q15:

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