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Theater Club: Seat Shares and Set Measurements worksheet preview

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Theater Club: Seat Shares and Set Measurements

Classify rational and irrational numbers and convert repeating decimals into fractions using theater set and seat-sale 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, Sorting, Short answer

About this worksheet

What students practice

  • Students distinguish rational and irrational numbers by their exact values and decimal forms.
  • Students convert repeating decimals, including mixed repeating decimals, into fractions.
  • Students apply exact decimal-to-fraction conversions to theater planning records.

How to use

Use after introducing rational and irrational numbers. Have students show decimal-shift subtraction on scratch paper and explain the final seat-share claim.

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

Theater Club: Seat Shares and Set Measurements

Distinguish exact decimal forms and recover fractions from repeating decimals.

Read the Exact Records

All values are exact unless stated otherwise. Parentheses mark the repeating digits: 0.(26) means 0.262626… .

1.
Sort the values from the set crew's planning notes. A rational number can be written as a ratio of two integers with a nonzero denominator.
√81−√110.0(63)√0.04π−17/6
RationalIrrational
2.
A set drawing records a horizontal adjustment of −11/8 feet. Which decimal records exactly the same adjustment?
  • A. −1.38 feet
  • B. −1.375 feet
  • C. −0.875 feet
  • D. −1.3(75) feet
3.
The ticket team checks four fraction-and-decimal pairs. Which row contains two equal exact values?
Seat-Sale Reference Pairs
RecordFractionDecimal
Early sales7/80.875
Group sales5/60.83
Online sales2/90.2
Door sales3/50.(6)
  • A. The online-sales row contains equal values.
  • B. The door-sales row contains equal values.
  • C. The early-sales row contains equal values.
  • D. The group-sales row contains equal values.

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