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Makerspace Lending: Exact Values worksheet preview

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Makerspace Lending: Exact Values

Classify rational and irrational values and convert repeating decimals to fractions using library makerspace lending records.

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, Short answer

About this worksheet

What students practice

  • Students classify real numbers using their exact decimal forms.
  • Students convert repeating decimals, including mixed repeating decimals, into fractions.
  • Students use exact fractions to interpret makerspace lending records.

How to use

Use after introducing rational and irrational numbers. Have students show decimal-shifting equations beside their fraction conversions, then discuss the final comparison.

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

Makerspace Lending: Exact Values

Classify numbers and recover exact fractions from decimal records.

1. Read the Number Records

Treat each value as exact unless it is labeled rounded. Parentheses mark a block that repeats forever: 0.(23) means 0.232323….

1.
The library is writing a reference card about the real numbers used in makerspace plans. Which statement belongs on the card?
  • A. Every real number has a decimal form that eventually repeats.
  • B. Only irrational numbers have decimal forms that never terminate.
  • C. Every real number has a decimal form, including irrational numbers.
  • D. Only rational numbers can be represented in decimal form.
2.
Select every record whose exact value is rational.
Makerspace Reference File
RecordExact value
Tool-case width (m)√2
Loaned share0.(84)
Balance change ($)−2.75
Design factor√121
Circle formula factorπ

Tool-case widthLoaned shareBalance changeDesign factorCircle formula factor

3.
A lending-account adjustment is exactly −17/25 dollar. Which decimal records the same adjustment?
  • A. −0.68
  • B. −0.17
  • C. −0.425
  • D. −0.068

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