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Answer :
Sure! Let's simplify the expression step-by-step using the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction).
To simplify the expression [tex]\(100 - 7^2 + 17 - 25\)[/tex], follow these steps:
1. Evaluate the exponent: The first thing we do is calculate [tex]\(7^2\)[/tex].
[tex]\[
7^2 = 49
\][/tex]
Now the expression becomes:
[tex]\[
100 - 49 + 17 - 25
\][/tex]
2. Perform subtraction from left to right: Start by subtracting 49 from 100.
[tex]\[
100 - 49 = 51
\][/tex]
Now the expression is:
[tex]\[
51 + 17 - 25
\][/tex]
3. Perform addition: Next, add 17 to 51.
[tex]\[
51 + 17 = 68
\][/tex]
Now the expression is:
[tex]\[
68 - 25
\][/tex]
4. Perform the last subtraction: Finally, subtract 25 from 68.
[tex]\[
68 - 25 = 43
\][/tex]
So, the simplified result of the expression [tex]\(100 - 7^2 + 17 - 25\)[/tex] is [tex]\(43\)[/tex].
To simplify the expression [tex]\(100 - 7^2 + 17 - 25\)[/tex], follow these steps:
1. Evaluate the exponent: The first thing we do is calculate [tex]\(7^2\)[/tex].
[tex]\[
7^2 = 49
\][/tex]
Now the expression becomes:
[tex]\[
100 - 49 + 17 - 25
\][/tex]
2. Perform subtraction from left to right: Start by subtracting 49 from 100.
[tex]\[
100 - 49 = 51
\][/tex]
Now the expression is:
[tex]\[
51 + 17 - 25
\][/tex]
3. Perform addition: Next, add 17 to 51.
[tex]\[
51 + 17 = 68
\][/tex]
Now the expression is:
[tex]\[
68 - 25
\][/tex]
4. Perform the last subtraction: Finally, subtract 25 from 68.
[tex]\[
68 - 25 = 43
\][/tex]
So, the simplified result of the expression [tex]\(100 - 7^2 + 17 - 25\)[/tex] is [tex]\(43\)[/tex].
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