DIVISION OF MONOMIALS BY MONOMIALS WORKSHEET

About "Division of monomials by monomials worksheet"

Division of monomials by monomials worksheet :

Here we are going to see some practice questions on division of monomial by another monomials.

Division of monomials by monomials worksheet - practice questions

(1)  Simplify 5a2b2c2  ÷  15abc

(2)  Simplify 16x÷ 32x

(3)  Simplify -42y÷ 7y2

(4)  Simplify 30 a3b3c3 ÷ 45 abc

(5)  Simplify 72 l4m5n8  ÷  (-8l2m2n3)

(6)  Simplify 25x3y2  ÷  15x2y

(7)  Simplify (7m- 6m)  ÷  m

Division of monomials by monomials worksheet - Solution

Question 1 :

Simplify 5a2b2c2  ÷  15abc

Solution :

5a2b2c2  ÷  15abc  =  5a2b2c2 /15abc

By dividing 5 and 15, we get 3 in the denominator.

By dividing a2 by a, we get a in the numerator.

By dividing b2 by b, we get b in the numerator.

By dividing c2 by c, we get c in the numerator.

Hence the answer is abc/3

Question 2 :

Simplify 16x÷ 32x

Solution :

16x÷ 32x  =  16x4 /32x

By dividing 16 and 32, we get 2 in the denominator.

By dividing x4 by x, we get x3 in the numerator.

Hence the answer is x3/2

Question 3 :

Simplify -42y3 ÷ 7y2

Solution :

-42y÷ 7y2  =  -42y/ 7y2

By dividing 42 by 7, we get 6 in the numerator.

By dividing y3 by y2, we get y in the numerator.

Hence the answer is -6y

Question 4 :

Simplify 30 a3b3c3 ÷ 45 abc

Solution :

30 a3b3c3 ÷ 45 abc  =  30 a3b3c3 /45 abc

by simplifying 30 and 45, we get 2 in the numerator and 3 in the denominator.

By dividing a3 by a, we get a2 in the numerator.

By dividing b3 by b, we get b2 in the numerator.

By dividing c3 by c, we get c2 in the numerator.

Hence the answer is (2/3) a b2 c2

Question 5 :

Simplify 72 l4m5n8  ÷  (-8l2m2n3)

Solution :

72 l4m5n8  ÷  (-8l2m2n3)  =  72 l4m5n8 /(-8l2m2n3)

by simplifying 72 and -8, we get 9 in the numerator.

By dividing l4 by l2, we get l2 in the numerator.

By dividing m5 by m2, we get m3 in the numerator.

By dividing nby n3, we get n5 in the numerator.

Hence the answer is 9 l m2 n2

Question 6 :

Simplify 25x3y2  ÷  15x2y

Solution :

25x3y2  ÷  15x2y  =  25x3y2 /15x2y

by simplifying 25 and 15, we get 5 in the numerator and 3 in the denominator.

By dividing x3 by x2, we get x in the numerator.

By dividing yby y, we get y in the numerator.

Hence the answer is (5/3)xy

Question 7 :

Simplify (7m2 - 6m)  ÷  m

Solution :

(7m- 6m)  ÷  m  =  (7m- 6m)/m

  =  (7m2/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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