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Locating Rational Numbers on a Number Line - Printable Mathematics Worksheets - Wayground

Locating Rational Numbers on a Number Line

9 questions

6th - 6th Grade

Mathematics

Locating Rational Numbers on a Number Line is a Grade 6 mathematics worksheet that helps students identify and label rational numbers on horizontal number lines. Across nine items—eight multiple-choice questions and one multiple-select question—students interpret points and graphs representing fractions, decimals, positive and negative values, and a mixed number. The questions include locating values such as 1/2, 7/8, -1/5, and 1 1/4, identifying equivalent fraction and decimal representations, and selecting all values shown at a plotted point. This free printable worksheet gives students focused practice connecting numerical forms to their positions relative to zero and to one another. It is useful for independent practice, small-group instruction, review, or a quick check of number-line understanding after direct instruction. The worksheet includes a complete answer key, so teachers can check students’ interpretations of plotted points and their handling of multiple-select questions efficiently.

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Locating Rational Numbers on a Number Line

Total questions: 9

Name
Class
Date
1.

Which number line shows 1/2

a)

A

b)

B

c)

C

d)

D

2.

Label Point C

a)

5/6

b)

-2/6

c)

-2/3

d)

-1/2

3.

Which decimal is located at point B

a)

4.0

b)

0.5

c)

1.4

d)

0.4

4.
a)

-8.2

b)

1.3

c)

-2.2

d)

-4.5

5.
Which point is 7/8?
a)
Point C
b)
Point D
c)
Point E
d)
Point F
6.

Which graph shows  1 141\ \frac{1}{4}   ?


a)
b)
c)
d)
7.

 Which graph shows  −15-\frac{1}{5}  ?

a)
b)
c)
d)
8.

Select all that apply: Which number is plotted on the graph?

a)

-0.67

b)

0.67

c)

−13-\frac{1}{3}

d)

−23-\frac{2}{3}

e)

−12-\frac{1}{2}

9.
What fraction is represented at point C?
a)
3/6
b)
3/7
c)
2/6
d)
3/6
Answer Key

Locating Rational Numbers on a Number Line

Total questions: 9

1.
a)

A

2.
b)

-2/6

3.
d)

0.4

4.
d)

-4.5

5.
d) Point F
6.
c)
7.
d)
8.
d)

−23-\frac{2}{3}

, a)

-0.67

9.
c) 2/6

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FAQs

What does the Locating Rational Numbers on a Number Line worksheet cover?

This Grade 6 worksheet focuses on identifying, labeling, and interpreting positive and negative rational numbers on number lines. Its eight multiple-choice and one multiple-select items ask students to connect plotted points and graphs with fractions, decimals, equivalent values, and a mixed number, including values such as 1/2, 7/8, 0.4, -1/5, and 1 1/4.

How can I use this worksheet to teach locating rational numbers on a number line?

Begin by reviewing how intervals are partitioned and how values to the left and right of zero relate to negative and positive numbers. Model one graph by locating benchmark points, then discuss how a fraction such as 1/2 can be compared with a decimal such as 0.4 before students complete the remaining point-labeling and graph-identification items. Use the multiple-select question to prompt students to explain why both a decimal and its equivalent fraction can describe the same plotted location.

What mistakes should I watch for when students complete this number-line worksheet?

Watch for students counting subdivisions incorrectly, reversing the direction of negative values, or choosing a point without checking its distance from zero. Students may also overlook equivalent representations, such as a negative decimal and fraction describing the same location, or select only one answer in the multiple-select item. Check that students distinguish a value’s sign from its magnitude when identifying points such as -1/5 and -2/3.

How do I assign and grade this rational-numbers worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for all nine items. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses from the digital quiz. The printable format also supports schools that want to reduce screen time.

How can I differentiate this number-line worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the number-line labels, fraction choices, and graph prompts are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the same rational-number practice format.

Where can I find more free worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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