Question

Use order of operation
4 + 4/ -7 + 5 - 10 + (-1)/8 + (-1)²

Answer 1

To solve the expression \( 4 + 4 - 7 + 5 - 10 + \frac{-1}{8} + (-1)^2 \), we will follow the order of operations (PEMDAS/BODMAS):

1. **Parentheses/Brackets**: There are no parentheses to simplify.
2. **Exponents/Orders**: Calculate \( (-1)^2 \):
\[
(-1)^2 = 1
\]

Substituting this back into the expression gives:
\[
4 + 4 - 7 + 5 - 10 + \frac{-1}{8} + 1
\]

3. **Division**: Next, we process the division \( \frac{-1}{8} \):
\[
\frac{-1}{8} = -0.125
\]

Now, our expression is:
\[
4 + 4 - 7 + 5 - 10 - 0.125 + 1
\]

4. **Addition and Subtraction**: Now we combine the numbers from left to right:
- Start with \( 4 + 4 = 8 \)
- Then \( 8 - 7 = 1 \)
- Now \( 1 + 5 = 6 \)
- Next \( 6 - 10 = -4 \)
- Then \( -4 - 0.125 = -4.125 \)
- Finally, \( -4.125 + 1 = -3.125 \)

Thus, the final result of the expression is:
\[
\boxed{-3.125}
\]