Worksheet on Multiplying Monomials

Practice the questions given in the worksheet on multiplying monomials (a monomial by a monomial). The questions are based on multiplication of two or more monomials.

1. Fill in the blanks:

(i) 5 × 4 = _____

(ii) 7 × 9 = _____

(iii) 3 × 6 = _____

(iv) 6 × 8 = _____

(v) 2 × 7 = _____

(vi) 9 × 12 = _____

(vii) 3 × 7 = _____

(viii) 8 × 1 = _____

(ix) 9 × 0 = _____

(x) 11 × 4 = _____
and

and

and

and

and

and

and

and

and

and
5a × 4a = _____

7a2 × 9a3 = _____

3a × 6b = _____

6am × 8m = _____

2pq × 7pq = _____

9ay2 × 12ay = _____

3a3b2 × 7a2b5 = _____

8a2mn2 × a3m2n = _____

9p5q4 × 0 = _____

11z × 4yz7 = _____

2. Find the product of the monomials:

(i) 7x × 8x =

(ii) 3x × 5x × 4 = 

(iii) 2xy × 7ay

(iv) a × 4a2 × 6a3 =

(v) 9 × 9m2 =

(vi) 4 × 4p2 × 6p2q2 =

(vii) (-5x) × 8x2y =

(viii) (- 7m2n2) × (- 5mn) =

(ix) (-3a) × (-2a2b) × (-8ab2) =

(x) 12abc2 × (-2ab2c) × 0 =


3. Find the value of:

(i) 11x5 × 3x2

(ii) (-4m2) × 4p2

(iii) 2abc × 8a2c3

(iv) abcd × abc

(v) 6p2q2r2 × 2x2y2z2

(vi) 9m3n5 × 4m5n7

(vii) 3a3b3 × (-4a5b3)

(viii) 0 × (15x4y4z2)

(ix) 1 × 17x5z2

(x) b5c4 × m4z5


4. Find the product of the two monomials:

(i) 4xy and -5xy

(ii) xy4 and (-x3y4)

(iii) 4ax and 3ay

(iv) 12ab2c and 4ab2

(v) 5mp2 and 3mn2p


5. Find the product of the three monomials:

(i) 7ab2c5, 4a3b2c2 and 2abc2

(ii) xy2, 2x2y and xy

(iii) x5, y2x5 and xyz

(iv) (-b2c), (-2bc) and 10c2b

(v) mn3, m2n4 and 5mn


6. Multiply a monomial by a monomial:

(i) 5a by 7

(ii) 4x2 by 9

(iii) 12uv by 3

(iv) –pq by 16

(v) 31pxy by 2

(vi) 5x2 by (-13x4y)

(vii) (-2xy) by (5xy)

(viii) (-7mn2) by (-6m3n5)

(ix) 16xyz by 5x2z2

(x) 102a2bc by 0


Answers for the worksheet on multiplying monomials are given below to check the exact answers of the above multiplication.


Answers:


1. (i) 20, 20a2 (ii) 63, 63a5

(iii) 18, 18ab

(iv) 48, 48am2

(v) 14, 14p2q2

(vi) 108, 18a2y3

(vii) 21, 21a5b7

(viii) 8, 8a5m3n3

(ix) 0, 0

(x) 44, 44yz8



2. (i) 56x2

(ii) 60x2

(iii) 14axy2

(iv) 24a6

(v) 81m2

(vi) 96p4q2

(vii) -40x3y

(viii) 35m3n3

(ix) -48a4b3

(x) 0



3. (i) 33x7

(ii) -16m2p2

(iii) 16a3bc4

(iv) a2b2c2d

(v) 12p2q2r2x2y2z2

(vi) 36m8n12

(vii) -12a8b6

(viii) 0

(ix) 17x5z2

(x) b5c4m4z5



4. (i) -20x2y2

(ii) -x4y8

(iii) 12a2xy

(iv) 48a2b4c

(v) 15m2n2p3



5. (i) 56a5b5c9

(ii) 2x4y4

(iii) x11y3z

(iv) 20b4c4

(v) 5m4n8



6. (i) 35a

(ii) 36x2

(iii) 36uv

(iv) –16pq

(v) 62pxy

(vi) -65x6y

(vii) -10x2y2

(viii) 42m4n7

(ix) 80x3yz3

(x) 0

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