Question

Consider the expression $\frac {[15+(-5)]+6}{2}$ . What is the result of the first simplification
that would need to take place , according to the order of operation

Answer 1

To simplify the expression \(\frac{[15+(-5)]+6}{2}\), we first need to look at the order of operations, which dictate that we perform operations inside parentheses and brackets first.

The expression includes a bracket \([15 + (-5)]\). According to the order of operations, we should calculate this bracket first.

Calculating inside the bracket:

\[
15 + (-5) = 15 - 5 = 10
\]

Now, substituting back into the original expression, we have:

\[
\frac{[10] + 6}{2} = \frac{10 + 6}{2}
\]

At this point, we have completed the first simplification by evaluating \(15 + (-5)\) within the brackets. Therefore, the result of the first simplification is

\[
10
\]