Practice the questions given in the worksheet on addition and subtraction of rational number. The questions are based on adding and subtracting rational numbers with same denominators and adding and subtracting rational numbers with different denominators.
1. Add the following rational numbers:
(i) 5/7 and 3/7
(ii) 15/4 and 7/4
(iii) 8/11 and 4/11
(iv) 6/13 and 9/13
2. Add the following rational numbers:
(i) 3/4 and 3/5
(ii) 3 and 3/5
(iii) 7/27 and 11/18
(iv) 31/4 and 5/8
3. 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
4. Subtract the following rational numbers:
(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
5. The sum of two rational numbers is 2. If one of the numbers is 14/5, find the other.
6. The sum of two rational numbers is 1/2. If one of the numbers is 5/6 find the other.
7. What number should be added to 5/8 so as to get 3/2?
8. What number should be added to 1 so as to get 5/7?
9. What number should be subtracted from 2/3 to get 1/6?
10. Is the difference of two rational numbers a rational number?
11. What is the negative of a negative rational number?
Answers for the worksheet on addition and subtraction of rational number are given below to check the exact answers of the above questions on addition and subtraction.
Answers:
1. (i) 2/7
(ii) 2
(iii) 12/11
(iv) 3/13
2. (i) 3/20
(ii) 12/5
(iii) 9/54
(iv) 67/6
4. (i) 5/12
(ii) 7/6
(iii) 13/45
(iv) 2/7
(v) 29/11
(vi) 13/9
(vii) 82/65
(viii) 45/7
5. 4/5
6. 4/3
7. 7/8
8. 12/7
9. 1/2
10. Yes
11. The number itself.
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● Rational Numbers
Introduction of Rational Numbers
Is Every Rational Number a Natural Number?
Is Every Rational Number an Integer?
Is Every Rational Number a Fraction?
Equivalent form of Rational Numbers
Rational Number in Different Forms
Properties of Rational Numbers
Lowest form of a Rational Number
Standard form of a Rational Number
Equality of Rational Numbers using Standard Form
Equality of Rational Numbers with Common Denominator
Equality of Rational Numbers using Cross Multiplication
Comparison of Rational Numbers
Rational Numbers in Ascending Order
Rational Numbers in Descending Order
Representation of Rational Numbers on the Number Line
Rational Numbers on the Number Line
Addition of Rational Number with Same Denominator
Addition of Rational Number with Different Denominator
Properties of Addition of Rational Numbers
Subtraction of Rational Number with Same Denominator
Subtraction of Rational Number with Different Denominator
Subtraction of Rational Numbers
Properties of Subtraction of Rational Numbers
Rational Expressions Involving Addition and Subtraction
Simplify Rational Expressions Involving the Sum or Difference
Multiplication of Rational Numbers
Properties of Multiplication of Rational Numbers
Rational Expressions Involving Addition, Subtraction and Multiplication
Reciprocal of a Rational Number
Rational Expressions Involving Division
Properties of Division of Rational Numbers
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