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Grade 7 · Math

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Switch between fractions, decimals and percents, including repeating decimals

Grade 7 Math Worksheet - Building Confidence

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

  1. Ari's toy snail moves 1/4 m on each jump, and 1/4 m is 0.25 m. How many meters is 3 jumps, written as a decimal?

  2. Esme's frog hops to the left, so each hop is -1/5 m, which is -0.2 m. Where is the frog after 3 hops, as a decimal?

  3. Kira's toy car backs up -1/8 m at a time, which is -0.125 m. Where is the car after 3 moves, as a decimal?

  4. Each jump on Luz's rocket fuel gauge is 1/5 of a full tank, which is 20%. What percent of a tank is 6 jumps?

  5. Milo fills a bucket one scoop at a time. Each scoop is 1/40 of the bucket, which is 2.5%. What percent of the bucket is 9 scoops?

  6. Noah reads 1/20 of a book each day, which is 5% of the book. What percent of the book is read after 9 days?

  7. Pia's phone gains 1/25 of a full charge each minute, which is 4%. What percent of a full charge is 6 minutes of charging?

  8. Tala's line goes from 0 to 1, and it is also a line from 0% to 100%. The point 0.5 is at 50%. What percent is the point 0.175?

  9. Zee draws a tiny mark on a line from 0 to 1 (also 0% to 100%). The point 0.5 is at 50%. What percent is the point 0.045?

    Use the picture in question 8.

  10. Ari's balloon floats part of the way along a line from 0 to 1 (also 0% to 100%). The point 0.5 is at 50%. What percent is the point 0.325?

    Use the picture in question 8.

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