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Locate Rational Numbers on a Number Line - Worksheet

Rational-number placement is practised with a number line and a mixed list of positive and negative fractions and decimals. Students translate each numerical value into a relative position rather than solving unrelated calculations. A separate response page mirrors the placement task for review. The item list mixes signs and forms deliberately, so a correct placement depends on comparing magnitude as well as recognizing whether a value lies left or right of zero.
Year groups
Year 7
Pages
2
File type
PDF
Answer key
Included

Updated Jan 31, 2024

Subject
Graphing, Maths
Topic
Number Lines, Rational Numbers
Resource types
Worksheets, Worksheets & Printables
Answer key
Included

From the author

About this resource

Help students gain a deeper understanding of rational numbers with this practice sheet for plotting points along a number line. This one page worksheet in a PDF file features a number line spanning from -5 to 5, segmented into intervals of 1. Students will be tasked with matching points on the line to various rational number coordinates, reinforcing their ability to locate values.

The rational numbers include both positive and negative numbers, fractions and decimals. Included are numbers which are close in value so students will need to determine which of two numbers in fraction and decimal form is greater. They will also need to be able to determine if a number is closer to a whole value or to one half on the number line diagram.

Overall, this practice sheet provides focused work with rational number placement to build foundational skills. As students match coordinates to locations, they will gain aptitude in ordering and comparing rational values. The worksheet is versatile for individual practice or collaborative activities.

This 15 problem practice sheet covers the 6th grade maths standard:  6.NS.6c  Find and position integers and other rational numbers on a horizontal number line diagram. An answer key is provided.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Locate positive and negative rational numbers on a number line

  • Compare fractions and decimals by their relative positions

  • Interpret values on opposite sides of zero

Teaching tips

  • Mark zero first, then place the negative and positive rational values on their respective sides.

  • Compare nearby fractions and decimals before committing each value to a number-line position.

Skills covered

  • Number-line representation — students place rational values at corresponding points.

  • Rational-number comparison — fractions and decimals are ordered by position.

  • Signed-number reasoning — students distinguish values on either side of zero.

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Resource details

Concepts & topics

Core concepts

  • Rational numbers

  • Number line

  • Positive and negative values

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