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
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