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Addition and Subtraction of Rational Numbers - Printable Mathematics Worksheets - Wayground

Addition and Subtraction of Rational Numbers

16 questions

6th - 6th Grade

Mathematics

Addition and Subtraction of Rational Numbers is a Grade 6 mathematics worksheet with 16 multiple-choice questions covering positive and negative integers, decimals, and fractions. Students add and subtract rational numbers, combine multiple terms in expressions, and apply these operations to situations involving recipes, temperature changes, and temperature range. This free printable worksheet helps students strengthen sign rules, decimal alignment, fraction computation, and the interpretation of subtraction with negative values. The multiple-choice format gives learners repeated practice identifying accurate results, while the complete answer key supports efficient checking, feedback, and review. It is suitable for independent practice, classwork, homework, or a short assessment of rational-number operations.

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Worksheets

Addition and Subtraction of Rational Numbers

Total questions: 16

Name
Class
Date
1.

Find -6.23 + 7.5

a)

13.73

b)

1.3

c)

-1.27

d)

1.27

2.

-3/7 + 4/5

a)

43/35

b)

-13/35

c)

13/35

3.
A recipe calls for 1/2 cup of sugar and 1/3 cup of cinnamon. What is the measure of the two ingredients combined?
a)
5/6 cup
b)
2/5 cup
c)
1/6 cup
d)
1/5 cup
4.
- 1/3 + (-1/6)
a)
-1/2
b)
-2/6
c)
1/3
d)
-2/18
5.
-40 + 15.05= 
a)
55.05
b)
24.95
c)
-24.95
d)
14.65
6.
−28+(−8)=
a)
36
b)
−36
c)
−20
d)
20
7.
-105 + 113
a)
217
b)
-8
c)
8
d)
217
8.
8 + (-12) + 2
a)
-6
b)
-18
c)
22
d)
-2
9.
The temperature was 3* C on Monday and was 7.5 degrees lower the next day. What was the temperature on Tuesday?
a)
10.5* C
b)
4.5* C
c)
-4.5* C
d)
-10.5* C
10.
- 4.68 + -1.24
a)
- 5.82
b)
3.44
c)
- 5.92
d)
- 3.44
11.

solve

a)

- 2/9

b)

- 5/9

c)

2/9

d)

5/9

12.
a)
- 1  7/40
b)
15/40
c)
- 1 10/40
d)
17/40
13.
-23.4 - 3.4= 
a)
-20
b)
26.8
c)
-26.8
d)
20
14.
What is the range in temperatures if the high temperature is 78 degrees and the low temperature is -23 degrees?
a)
55 degrees
b)
101 degrees
c)
45 degrees
d)
91 degrees
15.

-25 - 15 + 10

a)

-30

b)

0

c)

30

16.

-4.5 + 7.9 - 6.3

a)

-6.1

b)

-2.9

c)

2.9

d)

6.1

Answer Key

Addition and Subtraction of Rational Numbers

Total questions: 16

1.
d)

1.27

2.
c)

13/35

3.
a) 5/6 cup
4.
a) -1/2
5.
c) -24.95
6.
b) −36
7.
c) 8
8.
d) -2
9.
c) -4.5* C
10.
c) - 5.92
11.
c)

2/9

12.
a) - 1  7/40
13.
c) -26.8
14.
b) 101 degrees
15.
a)

-30

16.
b)

-2.9

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FAQs

What does the Addition and Subtraction of Rational Numbers worksheet cover?

This Grade 6 worksheet uses 16 multiple-choice questions to practise adding and subtracting rational numbers, including integers, decimals, and fractions. Students also evaluate expressions with several terms and apply rational-number operations to recipe measurements, temperature changes, and temperature range, building accuracy with signs, equivalent fractions, and decimal place value.

How can I use this worksheet to teach addition and subtraction of rational numbers?

Model a few representative items first: align decimal points in decimal problems, find common denominators for fraction problems, and use a number line or signed-number model for integers. Then have students explain why a temperature decrease from 3°C by 7.5 degrees produces a negative result and discuss how the expression items with multiple terms can be simplified one operation at a time.

What mistakes should I watch for when students complete this rational-numbers worksheet?

Watch for students adding absolute values without determining the sign, especially in problems such as −28 + (−8) or −105 + 113. Other common errors include misaligning decimal places, adding fractions without a common denominator, treating subtraction as addition without changing the sign, and confusing temperature range with the difference between the two absolute values.

How do I assign and grade this Addition and Subtraction of Rational Numbers worksheet?

On Wayground, you can assign this worksheet as a printable PDF or as a digital quiz, and it includes a complete answer key for all 16 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital quiz provides a paper-free assignment option.

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

Use the worksheet’s Advanced Settings to increase font size or spacing so the integer, decimal, fraction, and multistep expression items are easier to scan. You can also enable a dyslexia-friendly font, or translate the worksheet when students need language support for the recipe and temperature word problems.

Where can I find more worksheets like this on Wayground?

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

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