Question

Enter the number that makes the expression below equivalent to c
.(1 point)
(−5+__)+(8⋅1/8)+c

Answer 1

To find the number that makes the expression \((-5 + \_\_) + (8 \cdot \frac{1}{8}) + c\) equivalent to \(c\), we can simplify the expression first.

1. Calculate \(8 \cdot \frac{1}{8}\):
\[
8 \cdot \frac{1}{8} = 1
\]

2. The expression then becomes:
\[
(-5 + \_\_) + 1 + c
\]

3. We want this expression to equal \(c\):
\[
(-5 + \_\_) + 1 + c = c
\]

4. Simplifying the left side gives us:
\[
-5 + \_\_ + 1 + c = c
\]
\[
-4 + \_ = 0
\]

5. To solve for the blank (\(\_\)), add 4 to both sides:
\[
\_ = 4
\]

Thus, the number that makes the expression equivalent to \(c\) is \(\boxed{4}\).