Examples on Multiplication of Integers

Examples on multiplication of integers on different types of questions on integers are discussed here step by step.

1. Find the products of (-10) × 11

Solution:

(-10) × 11

= - (10 × 11)

= - 110

2. Find the products of 5 × (-7)

Solution:

5 × (-7)

= - (5 × 7)

= - 35

3. Find the products of (-115) × 8

Solution:

(-115) × 8

= - (115 × 8)

= - 920

4. Find the products of 9 × (-3) × (-6)

Solution:

9 × (- 3) × (- 6)

= - {(9 × (-3)} × (- 6)

= -(9 × 3) × (-6)

= - 27 × (-6)

= 27 × 6 = 162

5. Find the products of (-12) × (-13) × (-5)

Solution:

(- 12) × (- 13) × (-5)

= {(-12) × (-13)} × (-5)

= (12 × 13 ) × (-5)

= 156 × (-5)

= -(156 × 5 )

= -780

6. Evaluate the products of (-1) × (-2) × (-3) × (-4) × (-5)

Solution:

Since the number of negative integers in the product their product is odd. Therefore their product is negative.

(-1) × (-2) × (-3) × (-4) × (-5)

= -(1×2×3×4×5)

= -(2×3×4×5)               [Since, 1 × 2 = 2]

=(6 × 4 × 5 )                [Since, 2 × 3 = 6 ]

= -(24 × 5 ) = -120        [Since, 6 × 4 = 24 ]

7. Evaluate the products of (3) × (-6) × (-9) × (-12)

Solution:

Since the number of negative integers in the given product is even. Therefore, their product is positive.

(-3) × (-6) × (-9) × (-12)

= (3 × 6 × 9 × 12)

= (18 × 9 × 12)          [Since, 3 × 6 =18]

= (162 × 12)              [Since, 18 × 9 =162]

= 1944

8. Find the value of 15625 × (-2) + (-15625) × 98

Solution:

15625 × (-2) + (-15625) × 98

= (-15625) × 2 + (-15625) × 98, [Since, 15625 × (-2) = -(15625 × 2) = (-15625 × 2)]

= (-15625) × (2 + 98), [Using: a × b + a × c = a × (b + c)]

= (-15625) × 100

= -(15625 × 100)

= -1562500

9. Find the value of 18946 × 99 - (-18946)

Solution:

18946 × 99 - (-18946)

= 18946 × 99 + 18946

= 18946 × 99 + 18946 × 1       [Since, 18946 = 18946×1]

= 18946 × (99 + 1)                 [Using: a × b + a × c = a × (b + c)]

= 18946 × 100

=1894600

10. Find the value of 1569 × 887 -569 × 887

Solution:

1569 × 887 – 569 × 887

= (1569 - 569) × 887       [Since, b × a - c × a = (b - c) × a]

= 1000 × 887

= 887000

Students can practice these examples on multiplication of integers which are discussed here step by step.