Advertisements
Advertisements
Question
Evaluate the following, using distributive property.
53 × (–9) – (–109) × 53
Solution
53 × (–9) – (–109) × 53
Taking 53 as common,
= 53 × [–9 – (–109)]
= 53 × (–9 + 109) ......[∵ a × b + a × c = a × (b + c)]
= 53 × 100
= 5300
APPEARS IN
RELATED QUESTIONS
Verify the following:
(–21) × [(– 4) + (– 6)] = [(–21) × (– 4)] + [(–21) × (– 6)]
Check the following for equality and if they are equal, mention the property.
(8 – 13) × 7 and 8 – (13 × 7)
Check the following for equality and if they are equal, mention the property.
[(– 6) – (+8)] × (– 4) and (– 6) – [8 × (– 4)]
Which property is illustrated by the equation: (5 × 2) + (5 × 5) = 5 × (2 + 5)
Check the following for equality
(8 – 13) × 7 and 8 – (13 × 7)
23 × (–99) = ______ × (–100 + ______) = 23 × ______ + 23 × ______.
If a, b, c are integers and b ≠ 0 then, a × (b – c) = a × b – a × c
(a + b) × c = a × c + a × b
Evaluate the following, using distributive property.
(–85) × 43 + 43 × (–15)
Evaluate the following, using distributive property.
68 × (–17) + (–68) × 3