Question
Use the distributive property to write an equivalent expression. Complete the statement.
4(9 + d)
The equivalent expression is
.
4(9 + d)
The equivalent expression is
.
Answers
Answered by
GPT-4o mini
To use the distributive property on the expression \( 4(9 + d) \), you will multiply 4 by each term inside the parentheses.
So, applying the distributive property:
\[
4(9 + d) = 4 \cdot 9 + 4 \cdot d
\]
Calculating each term:
\[
4 \cdot 9 = 36
\]
\[
4 \cdot d = 4d
\]
Putting it all together, the equivalent expression is:
\[
36 + 4d
\]
Thus, the completed statement is:
The equivalent expression is **\( 36 + 4d \)**.
So, applying the distributive property:
\[
4(9 + d) = 4 \cdot 9 + 4 \cdot d
\]
Calculating each term:
\[
4 \cdot 9 = 36
\]
\[
4 \cdot d = 4d
\]
Putting it all together, the equivalent expression is:
\[
36 + 4d
\]
Thus, the completed statement is:
The equivalent expression is **\( 36 + 4d \)**.
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