Rewrite the following expressions using the given property.
1. 8 (2 + 5) Distributive Property __________________
2. (7 x 4) x 3 Associative Property __________________
3. 8 + 5 Commutative Property __________________
4. -4 (1) Identity Property __________________
5. 25 + (-25) Inverse Property __________________
Answers
Answer:
56
8(2+5)
=8*7=56(Ans)
Given :
8 (2 + 5)
(7 x 4) x 3
8 + 5
-4 (1)
25 + (-25)
To Find : Rewrite using mentioned property
Solution:
8 (2 + 5)
Distributive Property
a ( b + c) = a × b + a× c
8 (2 + 5) = 8 × 2 + 8 × 5
(7 x 4) x 3
Associative Property of multiplication
(a * b ) * c = a * ( b * c)
(7 x 4) x 3 = 7 x (4 x 3 )
8 + 5
Commutative Property of Addition
a + b = b + a
8 + 5 = 5 + 8
Identity Property of Multiplication
a * 1 = 1 * a = a
- 4 * 1 = 1 * (-4) = - 4
Additive Inverse (Opposite) property
a + (-a) = 0
25 + (-25) = 0
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