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Chess Club: Decimal Score Audit worksheet preview

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Chess Club: Decimal Score Audit

Analyze chess club scores and rating calculations using rational numbers, irrational numbers, and repeating-decimal conversions.

Grade 8MathInteractive · Printable

Aligned to8.NS.A.1

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students classify numbers using terminating, repeating, and nonrepeating decimal forms.
  • Students convert repeating decimals into fractions using place-value equations.
  • Students distinguish exact values from rounded decimal displays.

How to use

Use after introducing rational and irrational numbers. Have students show conversion equations on scratch paper and discuss the final display error.

Curriculum

Common Core standard covered

8.NS.A.1

Know that numbers that are not rational are irrational, see that every number has a decimal form, and turn repeating decimals into fractions.

Preview

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Name Date

Chess Club: Decimal Score Audit

Classify numbers and convert repeating decimals into exact fractions.

Read the Number Records

Classify each exact value. Parentheses mark digits that repeat forever: 0.(52) means 0.525252…, and 0.4(52) means 0.4525252….

1.
The chess club's score sheet contains these exact values. Which value is irrational?
Score Sheet Values
EntryExact value
Tie-break total8.125
Win proportion0.(42)
Formula input√13
Rating change−18
  • A. The win proportion is irrational.
  • B. The formula input is irrational.
  • C. The rating change is irrational.
  • D. The tie-break total is irrational.
2.
Sort the exact values from a practice rating formula.
−0.(81)√49√2311/20π0.0625
RationalIrrational
3.
A practice rating calculation includes −13/40. Write its exact decimal form.

−13/40 =  

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