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Place fractions and decimals on a number line - Printable Mathematics Worksheets - Wayground

Place fractions and decimals on a number line

10 questions

6th - 6th Grade

Mathematics

Place Fractions and Decimals on a Number Line is a Grade 6 mathematics worksheet with 10 multiple-choice questions. Students identify fractions and decimals shown at marked points, match values such as 7/8 and 4/5 to locations, and label a point on a number line. The questions also ask students to order -3/7, 1/4, and 1/2 from least to greatest and connect fraction and decimal representations, including converting 5/6 to a decimal. This free printable worksheet with an answer key helps students interpret number-line intervals, compare rational numbers, and connect visual positions with equivalent numerical forms. Additional items require students to recognize an improper fraction in simplest form and apply a number-line value to a real-world measurement, such as a hole 4/5 meter deep. Use it for independent practice, review, or a quick check of Grade 6 rational-number understanding.

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Worksheets

Place fractions and decimals on a number line

Total questions: 10

Name
Class
Date
1.
What fraction is represented at point A?
a)
4/5
b)
3/1
c)
3/4
d)
1/3
2.
What decimal represents point J on the number line?
a)
0.4
b)
0.3
c)
3
d)
.03
3.
Which is ordered from least to greatest?
a)
1/4, -3/7, 1/2
b)
-3/7, 1/2, 1/4
c)
1/2, 1/4, -3/7
d)
-3/7, 1/4, 1/2
4.

Convert the fraction 5/6 to a decimal and plot it on the number line.

a)

0.5555

b)

0.8333

c)

0.6666

d)

1.25

5.
Which improper fraction represents the arrow on the number line?
*Simplify your answer*
a)
4/3
b)
1  1/3
c)
5/2
d)
5/3
6.
What fraction is represented with an 'x' on the number line?
a)
1/8
b)
2/9
c)
1/9
d)
1/4
7.
What decimal represents point J on the number line?
a)
0.4
b)
0.3
c)
3
d)
.03
8.
Which point is 7/8?
a)
Point C
b)
Point D
c)
Point E
d)
Point F
9.

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}

10.

Which point on the number line does the following scenario represent?


The construction worker dug a hole 4/5 meters deep.

a)

Point A

b)

Point B

c)

Point C

d)

Point D

Answer Key

Place fractions and decimals on a number line

Total questions: 10

1.
c) 3/4
2.
b) 0.3
3.
d) -3/7, 1/4, 1/2
4.
b)

0.8333

5.
a) 4/3
6.
a) 1/8
7.
b) 0.3
8.
d) Point F
9.
c)

−26-\frac{2}{6}

10.
d)

Point D

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FAQs

What does this fractions and decimals number-line worksheet cover?

This Grade 6 worksheet uses 10 multiple-choice questions to build skill in locating fractions and decimals on number lines, ordering positive and negative rational numbers, and connecting equivalent fraction and decimal representations. Students interpret marked points such as 7/8 and 4/5, convert 5/6 to a decimal for plotting, identify an improper fraction in simplest form, and use a real-world measurement to select a number-line point.

How can I use this worksheet to teach placing fractions and decimals on a number line?

First review how the intervals between whole numbers are partitioned and model locating a fraction by counting equal spaces from zero. Then have students explain how a decimal such as 0.3 or a fraction such as 7/8 corresponds to a marked point before they complete the multiple-choice items. Use the ordering question with -3/7, 1/4, and 1/2 to prompt discussion about negative values and relative position, and ask students to justify the point chosen for the 4/5-meter scenario.

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

Watch for students counting tick marks instead of the spaces between them, reversing the order of negative and positive values, or confusing 0.3 with 0.03 and 3. Students may also choose a mixed number when an item asks for an improper fraction, fail to simplify that fraction, or select a point without checking whether its interval represents the requested denominator. For the 5/6 item, check that students connect the fraction to the decimal value used on the number line rather than choosing a distractor based on the numerator or denominator alone.

How do I assign and grade this fractions and decimals worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, so you can assign the format that fits your Grade 6 math lesson. The worksheet includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable option can also support schools that are reducing screen time.

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

In the worksheet’s Advanced Settings, adjust font spacing and font size to make the number-line labels and multiple-choice options easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the fraction, decimal, ordering, and point-identification tasks intact.

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

Wayground offers a broad 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.

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