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Trail Maps: Exact Decimal Checks

Convert hiking distances and signed elevation changes to decimals using long division, and distinguish terminating from repeating decimals.

Grade 7MathInteractive · Printable

Aligned to7.NS.A.2.d

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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 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

Students use long division to convert positive and negative rational numbers to exact decimals.
Students use remainders to identify terminating decimals and repeating digit blocks.
Students distinguish exact decimal trail measurements from rounded or incomplete entries.

How to use

Have students show long division on separate paper without a calculator. Review how zero and repeated remainders determine whether a decimal ends or repeats.

Curriculum

Common Core standard covered

7.NS.A.2.d

Change a rational number to a decimal with long division and know the decimal either ends or repeats.

Preview

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Name Date

Trail Maps: Exact Decimal Checks

Use long division to convert trail measurements into exact decimals.

Convert the Map Notes

Use long division. Write exact decimals, not rounded values. In this worksheet, parentheses mark the repeating block: 0.1(23) means 0.1232323… . Negative elevation changes represent descents.

The trail map lists the connector from camp to the main trail as 13/40 mile.

Write its length as a decimal: mile

A short trail segment has a signed elevation change of −23/8 meters.

Write the signed change as a decimal: meters

The group has walked 9/22 of its planned hiking distance. Which decimal is exactly equal to this fraction?