Worksheet on Addition and Subtraction of Rational Number



In worksheet on addition and subtraction of rational number, the questions are based on addition of rational numbers; subtraction of rational numbers; to find the additive inverse; word problems on addition and subtraction of rational numbers. This exercise sheet on addition and subtraction of rational numbers has different types of questions that can be practiced by the students to get more ideas to solve all types of questions in rational numbers for eighth grade math students.



1. Add the following rational numbers:

(i) -2/5 and 4/5

(ii) -6/11 and -4/11

(iii) -11/8 and 5/8

(iv) -7/3 and 1/3

(vi) 5/6 and -1/6

(vii) -17/15 and -1/15



2. Add the following rational numbers:

(i) 3/4 and -3/5

(ii) 5/8 and-7/2

(iii) -8/9 and 11/6

(iv) -5/16 and 7/24

(v) 7/-18 and 8/27

(vi) 1/-12 and 2/-15

(vii) -1 and 3/4

(viii) 2 and -5/4

(ix) 0 and -2/5



3. Verify the following:

(i) -12/5 + 2/7 = 2/7 + -12/7

(ii) -5/8 + -9/13 = -9/13 + -5 /8

(iii) 3 + -7/12 = -7/12 + 3

(iv) 2/-7 + 12/-35 = 12/-35 + 2/-7



4. Verify the following:

(i) (3/4 + -2/5) + -7/10 = 3/4 + (-2/5 + -7/10)

(ii) (-7/11 + 2/-5) + -13/22 = -7/11 + (2/-5 + -13/22)

(iii) -1 + (-2/3 + -3/4) = (-1 + -2/3) + -3/4



5. Fill in the blanks.

(i) (-3/17) + (-12/5) = (-12/5) + (_____ )

(ii) -9 + (-21/8) = (_____ ) + (-9)

(iii) (-8/13 + 3/7) + (-13/4) = (_____ ) + [3/7 + (-13/4)]

(iv) -12 + (7/12 + -9/11) = (-12 + 7/12) + (_____ )

(v) 19/-5 + (-3/11 + -7/8) = {19/-5 + (_____ )} + -7/8

(vi) -16/7 + _____ = _____ + -16/7 = -16/7



6. Find the additive inverse of each of the following:

(i) 1/3

(ii) 23/9

(iii) -18

(iv) -17/8

(v) 15/-4

(vi) -16/-5

(vii) -3/11

(viii) 0

(ix) 19/-6

(x) -8/ -7



7. Subtract:

(i) 3/4 from 1/3

(ii) -5/6 from 1/3

(iii) -8/9 from -3/5

(iv) -9/7 from -1

(v) -18/11 from 1

(vi) -13/9 from 0

(vii) -32/13 from -6/5

(viii) -7 from -4/7



8. Using the rearrangement property find the sum:

(i) 4/3 + 3/5 + -2/3 + -11/5

(ii) -8/3 + -1/4 + -11/6 + 3/8

(iii) -13/20 + 11/14 + -5/7 + 7/10

(iv) -6/7 + -5/6 + -4/9 + -15/7



9. The sum of two rational numbers is -2. If one of the numbers is -14/5, find the other.



10. The sum of two rational numbers is -1/2. If one of the numbers is 5/6 find the other.



11. What number should be added to -5/8 so as to get -3/2?



12. What number should be added to -1 so as to get 5/7?



13. What number should be subtracted from -2/3 to get -1/6?



14. (i) Which rational number is its own additive inverse?

(ii) Is the difference of two rational numbers a rational number?

(iii) Is addition commutative on rational numbers?

(iv) Is addition associative on rational numbers?

(v) Is subtraction commutative on rational numbers?

(VI) Is subtraction associative on rational numbers?

(vii) What is the negative of a negative rational number?


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Rational Numbers - Worksheets

  • Worksheet on Rational Numbers
  • Worksheet on Representation of Rational Number on a
       Number Line
  • Worksheet on Addition and Subtraction of Rational
       Number
  • Worksheet on Multiplication of Rational Number
  • Worksheet on Division of Rational Numbers
  • Worksheet on Word Problems on Rational Numbers
  • Objective Questions on Rational Numbers




    • Math Homework Sheets

    8th Grade Math Practice

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