Question

Use the disruptive property to write an equivalent expression. 4(10q+4r-1)

Answer 1

To use the distributive property to write an equivalent expression for \( 4(10q + 4r - 1) \), you will multiply each term inside the parentheses by \( 4 \).

Here's the step-by-step process:

1. Distribute \( 4 \) to \( 10q \):
\[
4 \cdot 10q = 40q
\]

2. Distribute \( 4 \) to \( 4r \):
\[
4 \cdot 4r = 16r
\]

3. Distribute \( 4 \) to \( -1 \):
\[
4 \cdot (-1) = -4
\]

Now, combine all the results together:

\[
40q + 16r - 4
\]

So, the equivalent expression is:

\[
40q + 16r - 4
\]