Name the property that is reflected in the following expression:
a) 5/11 x -11/5 =1
b) 24/10 x 5/6 = 5/6 x 24/10
c) 5 + (-5) = 0
d) 99 x 58 = 100 x58 – 1 x 58
Answers
Step-by-step explanation:
Given that:
a) 5/11 x 11/5 =1
b) 24/10 x 5/6 = 5/6 x 24/10
c) 5 + (-5) = 0
d) 99 x 58 = 100 x58 – 1 x 58
To find: Name the property that is reflected in the above written expression
Solution:
a) 5/11 x 11/5 =1
Ans:Multiplicative Inverse
Explanation: If a number is multiplied with its reciprocal then resultant will be 1.
b) 24/10 x 5/6 = 5/6 x 24/10
Ans: Commutative property of multiplication
Explanation: As a×b= b×a is always true,thus this is the Commutative property of multiplication.
c) 5 + (-5) = 0
Ans: Additive Inverse
Explanation: When a number get added with itself with negative sign,it is said to be additive identity or additive inverse.
d) 99 x 58 = 100 x58 – 1 x 58
Ans: Distributive property of multiplication
Explanation: For simplification this property is used
99= 100-1
(100-1)×58
100×58-1×58
is known as distributive property of multiplication.
Hope it helps you.
Answer:
a)multiplative inverse
b) commutative property of multiplication
c) additive inverse
d)distubutive property of multiplication