# Worksheet on Multiplying Integers

Practice the questions given in the worksheet on multiplying integers. We know that the product of any two integers is always an integer.

 I. Fill in the blanks:         (i) 0 × 9 = ……… (ii) 9 × 0 = ……… (iii) 0 × (-9) = ……… (iv) 15 × 13 = ……… (v) 13 × 15 = ……… (vi) ( -13) × 15 = ……… (vii) (-13) × (-15) = ……… (viii) 13 × (-15) = ……… (ix) ……… × (-16) = 400 (x) (-12) × ……… = -36 (xi) 7 × ……… = 21 (xii) 7 × ……… = -28 (xiii) (-2) × ……… = -6 (xiv) (-2) × ……… = 6 (xv) 12 × ……… = 0(xvi) ……… × (-18) = 0
 II. Multiply the following integers: (i) 12 and 16 (ii) 16 and -16 (iii) -12 and -16 (iv) -12 and 16 (v) -348 and 0 (vi) 0 and 152 (vii) 8 and 7 (viii) -8 and -7 (ix) -8 and +7 (x) +8 and -7 (xi) -3 and -6 (xii) +48 and 0 (xiii) 0 and -297 (xiv) -12 and +47

III. Find the value of the products of the following:

(i) 4 × 12

(ii) 11 × 5

(iii) (-4) × 12

(iv) (-3) × (-12)

(v) 8 × 0

(vi) 7 × 4 × 3

(vii) 7 × (-4) × 3

(viii) (-7) × 3 × (-3)

(ix) (-7) × (-3) × (-3)

(x) (-8) × (-8) × (-8)

(xi) (-32) × 0 × (-32)

(xii) (-1) × (-2) × (-3) × (-4) × (-5) × (-6)

IV. State whether the following statements are true (T) or false (F)

(i) The product of two integers can be zero.

(ii) The product of two negative integers is negative.

(iii) The product of three negative integers is a negative integer.

(iv) The product of a negative integer and a positive integer may be zero.

(v) If a and b are two integers, then a × b is always greater than both a and b.

(vi) If a and b are two integers, then a × b is always greater than either a or b.

(vii) In a negative (-ve) product, there is an odd number of negative (-ve) integers.

(viii) If the product of two integers is positive (+ve), then the integers are either both positive (+ve) or both negative (-ve).

(ix) The product of a negative integer and zero is 1.

V. What will be the sign of the product if we multiply together:

(i) 8 negative and 4 positive integers.

(ii) 3 negative and 10 positive integers.

(iii) 9 negative and 5 positive integers.

(iv) 1 negative and 2 positive integers.

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

 I. (i) 0 (ii) 0 (iii) 0 (iv) 195 (v) 195 (vi) -195 (vii) 195 (viii) -195 (ix) -25 (x) 3 (xi) 3 (xii) -4 (xiii) 3 (xiv) -3 (xv) 0(xvi) 0
 II. (i) 192 (ii) -256 (iii) 192 (iv) -192 (v) 0 (vi) 0 (vii) 56 (viii) 56 (ix) -56 (x) -56 (xi) 18 (xii) 0 (xiii) 0 (xiv) -564
 III. (i) 48 (ii) 55 (iii) -48 (iv) 36 (v) 0 (vi) 84 (vii) -84 (viii) 63 (ix) -63 (x) -512 (xi) 0 (xii) 720

IV. (i) True

(ii) False

(iii) False

(iv) False

(v) False

(vi) False

(vii) True

(viii) True

(ix) False

V. (i) positive

(ii) negative

(iii) negative

(iv) negative