High School

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Simplify the expression using the order of operations:

[tex]
\[
\begin{aligned}
100 - 7^2 + 17 - 25 & = 100 - \square + 17 - 25 \\
& = \square + 17 - 25 \\
& = \square - 25 \\
& = \square
\end{aligned}
\]
[/tex]

Answer :

To solve the expression using the order of operations, follow these detailed steps:

1. Start with the initial expression:
[tex]\[
100 - 7^2 + 17 - 25
\][/tex]

2. Calculate the exponentiation first:
[tex]\[
7^2 = 49
\][/tex]

3. Substitute the result in place of [tex]\( 7^2 \)[/tex] in the expression:
[tex]\[
100 - 49 + 17 - 25
\][/tex]

4. Perform the subtraction from left to right:
- Start with [tex]\( 100 - 49 \)[/tex]:
[tex]\[
100 - 49 = 51
\][/tex]

5. Add 17 to the result:
[tex]\[
51 + 17 = 68
\][/tex]

6. Subtract 25 from the result:
[tex]\[
68 - 25 = 43
\][/tex]

Thus, the final result of the expression is [tex]\( 43 \)[/tex].

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