Concept explainers
Replace each question mark with an appropriate expression that will illustrate the use of the indicated real number property:
An appropriate expression that may replace each question mark, and illustrate the use of the indicated real number property:
(A) Commutative
(C) Distributive:
Answer to Problem 1E
(A) The required expression for the Commutative property of multiplication is
(B) The required expression for the Associative property of addition is
(C) The required expression for the Distributive property is
Explanation of Solution
(A)
Consider the given expression,
Now, commutative property of multiplication states that
Here, take
Then, by the commutative property,
Hence, the required expression for the Commutative property of multiplication is
(B)
Consider the given expression,
Now, associative property of addition states that
Here, take
Then, by the associative property,
Hence, the required expression for the Associative property of addition is
(C)
Consider the given expression,
Now, distributive property states that for every
Here, take
Then, by the distributive property,
Hence, the required expression for the Distributive property is
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