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AssignmentMultiple Select

Equivalent Expressions

Question 3 • Pre-Algebra - MA3119 A ? Distance Learning

Use the associative property to create equivalent expressions to a + b + (c + d). Which statements are true? Select four options.

Answer
A
The associative property allows us to change the grouping of terms that are added together.
B
When changing the grouping, the order of the terms stays the same; only the parentheses change position.
C
The expression a + (b + c) + d is an equivalent expression.
D
The expression ab(cd) is an equivalent expression.
E
The expression (a+ b) + c + d is an equivalent expression.
F
The expression a + b(c + d) is an equivalent expression.

Explanation

The associative property of addition lets you change how addends are grouped without changing their order or the sum. Thus, a + (b + c) + d and (a + b) + c + d are both equivalent to a + b + (c + d). The other expressions use multiplication, so they are not equivalent by regrouping addition.

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