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Lift Lines and Snowfall: Estimates at Scale worksheet preview

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Lift Lines and Snowfall: Estimates at Scale

Estimate ski resort lift records and tiny snow measurements as single digits times powers of 10, then compare their sizes.

Grade 8MathInteractive · Printable

Aligned to8.EE.A.3

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What’s included

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

Details

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

About this worksheet

What students practice

  • Students estimate large and small quantities as a single nonzero digit times a power of 10.
  • Students use rounded estimates to determine how many times as large one quantity is as another.
  • Students explain why a comparison based on rounded quantities may differ from an exact comparison.

How to use

Use after introducing powers of 10 and scientific notation. Have students record their rounded quantities before comparing and discuss the final estimate-versus-exact question.

Curriculum

Common Core standard covered

8.EE.A.3

Estimate very large or very small quantities as a single digit times a power of 10, and tell how many times bigger one is.

Preview

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Name Date

Lift Lines and Snowfall: Estimates at Scale

Estimate resort records and compare quantities across powers of 10.

Summarize the Records

Round each quantity to one significant digit: a whole-number digit from 1 through 9 times a power of 10. Use these rounded values whenever a question asks for an estimated comparison.

1.
Match each lift-ride record to its one-significant-digit estimate.
  1. 32,500 rides at one lift
  2. 681,000 rides during a season
  3. 12,400,000 rides in the archive
  4. 4,600,000 rides across the resort group
  1. A. 1 × 10⁷ rides
  2. B. 7 × 10⁵ rides
  3. C. 5 × 10⁶ rides
  4. D. 3 × 10⁴ rides
2.
A snow crystal collected near a lift has a mass of 0.000000268 kilogram. Complete its one-significant-digit estimate.

Estimated mass =   × 10⁻⁷ kilogram

3.
An image-analysis system counted 98,400,000 snow grains in a set of sample images. Which one-significant-digit estimate should appear in the report?
  • A. 1 × 10⁷ grains
  • B. 1 × 10⁸ grains
  • C. 9 × 10⁷ grains
  • D. 9 × 10⁸ grains

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