Grade 7 · Math

7th grade Switch between fractions, decimals and percents, including repeating decimals worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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Switch between fractions, decimals and percents, including repeating decimals

Grade 7 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

Milo ran 8/11 of a mile before the shoelace gave up. What is 8/11 as a decimal, rounded to the nearest hundredth?
Noah fills a bucket 6/7 full at the beach. What is 6/7 as a decimal, rounded to the nearest hundredth?
Zee divides 5 by 27 and gets 0.185185185185… on the screen. How many digits repeat in the pattern?
Ari divides 2 by 13 and gets 0.153846153846… on the screen. How many digits repeat in the pattern?
5/9 of Esme's garden is planted. What percent is that, rounded to the nearest tenth of a percent?
Jun has finished 11/12 of a block puzzle. What percent is that, rounded to the nearest tenth of a percent?
0.25% of the water in Milo's pond is salt. What is 0.25% as a decimal?
Noah's class chart has a row with 7/16 and blanks for its decimal and its percent. What are the decimal and the percent?
Pia's class chart has a row with 17/40 and blanks for its decimal and its percent. What are the decimal and the percent?
Ren's class chart has a row with 9/16 and blanks for its decimal and its percent. What are the decimal and the percent?

7th grade Switch between fractions, decimals and percents, including repeating decimals worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Switch between fractions, decimals and percents, including repeating decimals. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can change a fraction, a decimal and a percent into each other, including negatives, numbers over 1 and tiny percents like 0.5%.
I can divide the top by the bottom with long division, and tell from the remainders whether the decimal ends or repeats.
I can write a repeating decimal like 2/3 as 0.6 repeating, round one, and say how many digits repeat.

Standard: 7.NS.A.2d

Words to know

terminating decimal: A decimal that ends, like 0.375. The division finishes with remainder 0.

repeating decimal: A decimal whose digits repeat forever, like 0.6666… for 2/3.

remainder: What is left over after a division step.

percent: A number out of 100. 35% means 35 out of 100.

simplest form: A fraction with no number that divides both top and bottom.

Common mistakes

Your child counted one jump too few.

Your child counted one jump too many.

Your child got the right size but left off the minus sign.

What to say

Ask: how many jumps does the question say, and did you use all of them?

Ask: how many jumps does the question say? Count them on the line, starting from 0.

Ask: is the number left or right of 0, and what does that say about its sign?

Questions parents ask

What is the most common mistake with switch between fractions, decimals and percents, including repeating decimals?

Your child counted one jump too few.

How can I help my child with switch between fractions, decimals and percents, including repeating decimals?

Ask: how many jumps does the question say, and did you use all of them?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

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