# 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.

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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