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6th grade

Course: 6th grade > Unit 3

Lesson 4: Equivalent representations of percent problems
Math
6th grade
Rates and percentages
Equivalent representations of percent problems
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Converting decimals and percents review

Google Classroom
Review writing decimals as percents and percents as decimals.  Then, try some practice problems.  

What does percent mean?

Percent means 'per hundred.' So, we can replace a percent sign with 'per hundred.'
Example:
35, percent, equals, 35, start text, space, p, e, r, space, h, u, n, d, r, e, d, end text, equals, start fraction, 35, divided by, 100, end fraction

Writing percents as decimals

To write a percent as a decimal, we divide the percent by 100.
Example 1
Let's convert 42, percent to a decimal:
42, percent, equals, 42, start text, space, p, e, r, space, h, u, n, d, r, e, d, end text, equals, start fraction, 42, divided by, 100, end fraction
start fraction, 42, divided by, 100, end fraction, equals, 42, start text, space, h, u, n, d, r, e, d, t, h, s, end text
42, percent, equals, 0, point, 42
Example 2
Let's convert 370, percent to a decimal:
370, percent, equals, 370, start text, space, p, e, r, space, h, u, n, d, r, e, d, end text, equals, start fraction, 370, divided by, 100, end fraction
start fraction, 370, divided by, 100, end fraction, equals, 370, start text, space, h, u, n, d, r, e, d, t, h, s, end text
370, percent, equals, 3, point, 7
Want to learn more about writing percents as decimals? Check out this video.

Practice

Problem 1A
  • Current
Express the percent as a decimal.
92, percent
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text

Want to try more problems like this? Check out this exercise.

Writing decimals as percents

To write a decimal as a percent, we multiply the decimal by 100.
Example 1
Let's convert 0, point, 03 to a percent:
0, point, 03, equals, start fraction, 3, divided by, 100, end fraction, equals, 3, start text, space, h, u, n, d, r, e, d, t, h, s, end text
0, point, 03, equals, 3, percent
Example 2
Let's convert 5, point, 8 to a percent:
5, point, 8, equals, start fraction, 580, divided by, 100, end fraction, equals, 580, start text, space, h, u, n, d, r, e, d, t, h, s, end text
5, point, 8, equals, 580, percent
Want to learn more about writing decimals as percents? Check out this video.

Practice

Problem 2A
  • Current
Express the decimal as a percent.
0, point, 31
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
percent

Want to try more problems like this? Check out this exercise.

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