Division of monomials by monomials worksheet :
Here we are going to see some practice questions on division of monomial by another monomials.
(1) Simplify 5a^{2}b^{2}c^{2 }÷ 15abc
(2) Simplify 16x^{4 }÷ 32x
(3) Simplify -42y^{3 }÷ 7y^{2}
(4) Simplify 30 a^{3}b^{3}c^{3}^{ }÷ 45 abc
(5) Simplify 72 l^{4}m^{5}n^{8}^{ }÷ (-8l^{2}m^{2}n^{3})
(6) Simplify 25x^{3}y^{2}^{ }÷ 15x^{2}y
(7) Simplify (7m^{2 }- 6m)^{ }÷ m
Question 1 :
Simplify 5a^{2}b^{2}c^{2 }÷ 15abc
Solution :
5a^{2}b^{2}c^{2 }÷ 15abc = 5a^{2}b^{2}c^{2 }/15abc
By dividing 5 and 15, we get 3 in the denominator.
By dividing a^{2} by a, we get a in the numerator.
By dividing b^{2} by b, we get b in the numerator.
By dividing c^{2} by c, we get c in the numerator.
Hence the answer is abc/3
Question 2 :
Simplify 16x^{4 }÷ 32x
Solution :
16x^{4 }÷ 32x = 16x^{4 }/32x
By dividing 16 and 32, we get 2 in the denominator.
By dividing x^{4} by x, we get x^{3} in the numerator.
Hence the answer is x^{3}/2
Question 3 :
Simplify -42y^{3 }÷ 7y^{2}
Solution :
-42y^{3 }÷ 7y^{2} = -42y^{3 }/ 7y^{2}
By dividing 42 by 7, we get 6 in the numerator.
By dividing y^{3} by y^{2}, we get y in the numerator.
Hence the answer is -6y
Question 4 :
Simplify 30 a^{3}b^{3}c^{3}^{ }÷ 45 abc
Solution :
30 a^{3}b^{3}c^{3}^{ }÷ 45 abc = 30 a^{3}b^{3}c^{3}^{ }/45 abc
by simplifying 30 and 45, we get 2 in the numerator and 3 in the denominator.
By dividing a^{3} by a, we get a^{2} in the numerator.
By dividing b^{3} by b, we get b^{2} in the numerator.
By dividing c^{3} by c, we get c^{2} in the numerator.
Hence the answer is (2/3) a^{2 } b^{2} c^{2}
Question 5 :
Simplify 72 l^{4}m^{5}n^{8}^{ }÷ (-8l^{2}m^{2}n^{3})
Solution :
72 l^{4}m^{5}n^{8}^{ }÷ (-8l^{2}m^{2}n^{3}) = 72 l^{4}m^{5}n^{8} /(-8l^{2}m^{2}n^{3})
by simplifying 72 and -8, we get 9 in the numerator.
By dividing l^{4} by l^{2}, we get l^{2} in the numerator.
By dividing m^{5} by m^{2}, we get m^{3} in the numerator.
By dividing n^{8 }by n^{3}, we get n^{5} in the numerator.
Hence the answer is 9 l^{2 } m^{2} n^{2}
Question 6 :
Simplify 25x^{3}y^{2}^{ }÷ 15x^{2}y
Solution :
25x^{3}y^{2}^{ }÷ 15x^{2}y = 25x^{3}y^{2}^{ }/15x^{2}y
by simplifying 25 and 15, we get 5 in the numerator and 3 in the denominator.
By dividing x^{3} by x^{2}, we get x in the numerator.
By dividing y^{2 }by y, we get y in the numerator.
Hence the answer is (5/3)xy
Question 7 :
Simplify (7m^{2 }- 6m)^{ }÷ m
Solution :
(7m^{2 }- 6m)^{ }÷ m = (7m^{2 }- 6m)/m
= (7m^{2}/m) - (6m/m)
= 7m - 6
Hence the answer is 7m - 6.
After having gone through the stuff given above, we hope that the students would have understood "Division of a monomial by a monomial".
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