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Robot Test Bench: Exact Number Records worksheet preview

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Robot Test Bench: Exact Number Records

Classify exact robot-test values, connect fractions to decimal forms, and convert repeating decimals into fractions.

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, Matching, Circle the answer, Short answer

About this worksheet

What students practice

  • Students distinguish terminating, repeating, and nonterminating nonrepeating decimal forms.
  • Students convert repeating decimals, including those with nonrepeating digits, into fractions.
  • Students use exact decimal and fraction representations to interpret robot-test records.

How to use

Use after introducing rational and irrational numbers. Have students show repeating-decimal conversions on separate paper, then discuss the final error analysis.

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

Robot Test Bench: Exact Number Records

Connect decimal forms, fractions, and irrational numbers.

Read the Test Records

All values are exact unless stated otherwise. Parentheses mark digits that repeat forever: 0.(53) means 0.535353….

1.
The robotics club records a motor correction of −9/32. Which decimal records the correction exactly?
  • A. −0.28(125)
  • B. −0.028125
  • C. −0.28125
  • D. −0.281
2.
Match each fraction in the robot's calibration file to its exact decimal form.
  1. 5/8
  2. 4/11
  3. 11/12
  1. A. 0.625
  2. B. 0.(36)
  3. C. 0.91(6)
3.
A robot design calculation produces an irrational length. Which statement about that exact length must be true?
  • A. It has a decimal form that ends after enough digits.
  • B. It has no decimal form because it is irrational.
  • C. It has a decimal form that eventually repeats.
  • D. It has a decimal form that never ends or repeats.

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