Question

Use the Associative Property of Multiplication to rewrite the following expression 11x⋅(2c ⋅ 9)

Answer 1

The Associative Property of Multiplication states that when multiplying three or more numbers, the way in which the numbers are grouped does not change their product. In other words, \( (a \cdot b) \cdot c = a \cdot (b \cdot c) \).

Given the expression \( 11x \cdot (2c \cdot 9) \), you can change the grouping as follows:

Rewrite it as:

\[
(11x \cdot 2c) \cdot 9
\]

Now, you can also choose to group it another way:

\[
11x \cdot (9 \cdot 2c)
\]

Both of these forms are valid due to the Associative Property of Multiplication.