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Repeating Decimal Shading Puzzle

Written by Adi Ackerman, Head Teacher

"Repeating Decimal Shading Puzzle" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.NS.A.1. A 7th grader who is already steady on math puzzles can use it too, and an older student can use it as a short review.

Popular with 8th Grade teachers · Downloaded 355 times
Repeating Decimal Shading Puzzle
Repeating Decimal Shading Puzzle

8th grade math worksheet: write 4/9, 3/11 and 7/12 as repeating decimals, then shade the equal values to reveal a picture. Answer key included. Part of our number puzzles collection. Aligned to Common Core standards.

How do I use this worksheet?

Use the maze and the odd one out sets during a functions unit, and the shading puzzle and nonogram after work on rational numbers and roots. Pair students for the dots and boxes game and ask them to check each other's box values.

What students will practice

  • Students will write fractions such as 4/9 and 3/11 as repeating decimals with a bar over the repeating digits.
  • Students will recognize fractions and decimals equal to each target, such as 28/63 for 4/9.
  • Students will shade every matching cell in the grid to reveal a hidden picture.


Curriculum Links

Common Core State Standards

The Number System · 8th Grade

8.NS.A.1

Standard: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

View all 8.NS.A.1 worksheets →

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FAQ

How do I use this number puzzles worksheet?

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Use the maze and the odd one out sets during a functions unit, and the shading puzzle and nonogram after work on rational numbers and roots. Pair students for the dots and boxes game and ask them to check each other's box values.

What does this worksheet teach?

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Write 4/9, 3/11 and 7/12 as repeating decimals, then shade the equal values to reveal a picture. A repeating decimal has digits that repeat forever. A bar marks them: 0.1 6 means 0.1666 with the 6 repeating. The directions on the page read: Write each target fraction as a repeating decimal. Then shade every cell in the grid that equals one of the three targets. The shaded cells make a picture. An answer key is included.

Can I use this number puzzles worksheet for homeschool or classroom?

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Yes, both. We made it for 8th grade math puzzles, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

How does the function value maze work?

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Students start at the top left with x = 2 and use the room's rule, such as y = 3x − 3, to find y. They go through the door that shows y, and that y becomes the next room's x. They write x and y in every room they visit.

How do you play the exponent and root dots and boxes game?

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Two players take turns drawing a segment between neighboring dots. Closing the fourth side of a box claims it, and the player evaluates the expression inside, such as a cube root or a power, and adds it to a running total. There is no answer key, since every game plays out differently.

How do you write a fraction as a repeating decimal?

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Divide the numerator by the denominator until the digits start to repeat, then draw a bar over the repeating part. On Repeating Decimal Shading Puzzle students do this for 4/9, 3/11 and 7/12, then shade every cell that equals one of them.

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Worksheet Details

Grade8th Grade
SubjectMath
TopicMath Puzzles
Standard8.NS.A.1
Pages1 page
DifficultyMedium

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