How to find the distributive property
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ISEE Middle Level Quantitative Reasoning › How to find the distributive property
Explanation
First add the numbers in parentheses, then find the product:
Answer:
Explanation
First complete the subtraction inside the parentheses, and then multiply:
Solve using the distributive property:
Explanation
Multiply each numbers inside the parenthesis by 5:
Then add the products:
Answer:
Solve using the distributive property:
Explanation
First, multiply each number in parenthesis by 8:
Then solve:
Answer:
Explanation
First complete the addition in the parentheses, then multiply the two values:
11 (8 + 3)
= 11 (11)
= 121
Which is the greater quantity?
(a)
(b)
(a) and (b) are equal
(a) is greater
(b) is greater
It is impossible to tell from the information given
Explanation
Apply the distributive and commutative properties to the expression in (a):
The two expressions are equivalent.
is the additive inverse of
. Which is the greater quantity?
(a)
(b)
(b) is the greater quantity
(a) is the greater quantity
(a) and (b) are equal
It is impossible to determine which is greater from the information given
Explanation
is the additive inverse of
, so, by definition,
.
.
Explanation
Subtract the terms inside the parentheses, and then multiply by the term outside of the parentheses:
Explanation
According to the order of operations, we must first complete the addition, and then the multiplication:
Answer:
Simplify the below:
This does not simplify
Explanation
We must use the distributive property in this case to multiply the 4 by both the 3x and 5.