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Rational Numbers on a Number Line - Printable Mathematics Worksheets year 8 - Wayground

Rational Numbers on a Number Line

15 questions

6th - 8th Grade

Mathematics

Rational Numbers on a Number Line is a free printable mathematics worksheet for students in Grades 6–8. It contains 15 multiple-choice questions that ask learners to identify fractions, decimals, mixed numbers, and negative rational numbers represented by points or arrows on number lines, and to match given rational numbers to their correct locations. Items include identifying values such as 0.3, 7/8, 1.1, and -1.2 from labeled points or graphs. The worksheet helps students connect different forms of rational numbers to their positions on a number line, including values between whole numbers and numbers less than zero. Students must interpret intervals, compare locations, recognize equivalent representations, and simplify a mixed-number answer when required. Use it for independent practice, a review lesson, or a quick check of number-line reasoning. The worksheet is available as a free printable PDF and includes a complete answer key for efficient checking.

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Worksheets

Rational Numbers on a Number Line

Total questions: 15

Name
Class
Date
1.
What fraction is represented at point B?
a)

410\frac{4}{10}

b)

411\frac{4}{11}

c)

511\frac{5}{11}

d)

510\frac{5}{10}

2.
What decimal represents point J on the number line?
a)
0.4
b)
0.3
c)
3
d)
.03
3.
Which point is 7/8?
a)
Point C
b)
Point D
c)
Point E
d)
Point F
4.
Which mixed number represents the arrow on the number line?
*Simplify your answer*
a)

1141\frac{1}{4}

b)

1121\frac{1}{2}

c)

45\frac{4}{5}

d)

2342\frac{3}{4}

5.

Label point C on the number line

a)

56\frac{5}{6}

b)

−23-\frac{2}{3}

c)

−26-\frac{2}{6}

d)

−12-\frac{1}{2}

6.
Which letter is pointing to the number 1.1?
a)
g
b)
f
c)
k
d)
a
7.

Where does

1161\frac{1}{6}  go on the number line?

a)

A

b)

B

c)

C

d)

D

8.

Which point on the number line best represents -1.2?

a)

A

b)

B

c)

C

d)

D

e)

E

9.

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

a)
b)
c)
d)
10.

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

a)
b)
c)
d)
11.
a)

3.5

b)

-3.5

c)

-4.5

d)

-2.5

12.

Which rational number is graphed on the number line?

a)

-1

b)

−1110-1\frac{1}{10}

c)

-2.9

d)

-0.10

13.
a)
Point A
b)
Point B
c)
Point C
d)
Point D
14.

Which point on the number line best represents -1.2?

a)

A

b)

B

c)

C

d)

D

e)

E

15.
a)

45\frac{4}{5}

b)

34\frac{3}{4}

c)

14\frac{1}{4}

d)

13\frac{1}{3}

Answer Key

Rational Numbers on a Number Line

Total questions: 15

1.
a)

410\frac{4}{10}

2.
b) 0.3
3.
d) Point F
4.
a)

1141\frac{1}{4}

5.
c)

−26-\frac{2}{6}

6.
a) g
7.
b)

B

8.
a)

A

9.
c)
10.
d)
11.
b)

-3.5

12.
b)

−1110-1\frac{1}{10}

13.
c) Point C
14.
a)

A

15.
b)

34\frac{3}{4}

FAQs

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

This Grade 6–8 mathematics worksheet uses 15 multiple-choice questions to assess how students locate and identify fractions, decimals, mixed numbers, and negative rational numbers on number lines. Students match values such as 0.3, 7/8, 1.1, and -1.2 to labeled points or graphs, building accuracy with interval interpretation and rational-number representation.

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

First model how to divide the interval between labeled whole numbers and determine the value of each marked point. Then work through one positive example, such as locating 7/8 or 1.1, and one negative example such as -1.2 before assigning the multiple-choice items. Ask students to explain how the point’s position rules out the other choices, rather than selecting an answer from visual proximity alone.

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

Students may count spaces incorrectly, read a point as the adjacent tick, or confuse tenths with hundredths when identifying decimals such as 0.3. They may also place negative values to the right of zero, treat -1.2 as lying between -1 and 0, or overlook the instruction to simplify a mixed-number answer. Have students mark zero, label the intervals, and check whether each value’s sign and size match its location.

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

You can assign Rational Numbers on a Number Line as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time while students practise interpreting number lines.

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

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so labels and answer choices around the number lines are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when that supports access to the instructions and rational-number terms. These changes preserve the 15-question multiple-choice format while making the number-line tasks more accessible.

Where can I find more 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 help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.