Worksheet on Multiplication of Rational Number
Practice the questions given in the worksheet on multiplication of rational number. We know, for any two rational numbers a/b and c/d, we have a/b × c/d = a × c/b × d.
1. Multiply each of the following rational numbers:
(i) 7/11 by 5/4
(ii) 5/7 by (-3/4)
(iii) (-2)/9 by 5/11
(iv) -3/17 by -5/-4
2. Find the product of each of the following:
(i) 3/5 × (-7)/8
(ii) (-9)/2 × 5/4
(iii) (-6)/11 × 5/3
(iv) (-2)/3 × 6/7
(v) (-12)/5 × 10/-3
(vi) 25/-9 × 3/-10
(vii) 5/-18 × -9/20
(viii) (-13)/15 × (-25)/26
(ix) 16/-21 × 14/5
(x) (-7)/6 × 24
(xi) 7/24 × (-48)
(xii) (-13)/5 × (-10)
3. Find the reciprocal of:
(i) 13/25
(ii) (-17)/12
(iii) (-7)/24
(iv) 18
(v) -16
4. Find the value of:
(i) (5/8)^-1
(ii) (-4/9)^-1
(iii) (-7)^-1
(iv) (1/-3)^-1
5. Fill in the blanks:
(i) The product of a rational number and its reciprocal is __________ .
(ii) Zero has __________ reciprocal.
(iii) The numbers __________ and __________ are their own reciprocals.
(iv) Zero is __________ the reciprocal of any number.
(v) The reciprocal of a, where a ≠ 0, is __________ .
(vi) The reciprocal of 1/a, where a ≠ 0, is __________ .
(vii) The reciprocal of a positive rational number is __________ .
(viii) The reciprocal of a negative rational number is __________ .
6. Simplify each of the following and express the result as a rational number:
(i) -16/21 × 14/5
(ii) 7/6 × -3/28
(iii) -19/36 × 16
(iv) -13/9 × 27/-26
Answers for the worksheet on multiplication of rational number are given below to check the exact answers of the above multiplication.
Answers:
1. (i) 35/44
(ii) -15/28
(iii) -10/99
(iv) -15/68
2. (i) -21/40
(ii) -45/8
(iii) 10/11
(iv) -4/7
(v) 8
(vi) 5/8
(vii) 1/8
(viii) 5/6
(ix) -32/15
(x) -28
(xi) -14
(xii) 26
3. (i) 25/13
(ii) 12/-17
(iii) 24/-7
(iv) 1/18
(v) 1/-16
4. (i) 8/5
(ii) -9/4
(iii) -1/7
(iv) -3
5. (i) 1
(ii) No
(iii) 1, -1
(iv) Not
(v) 1/a
(vi) a
(vii) Positive
(viii) Negative
6. (i) -32/15
(ii) -1/8
(iii) -76/9
(iv) 3/2
● Rational Numbers - Worksheets
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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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