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Answer :
Sure, let's solve the expression [tex]\(9 + 3 + 2(9 + 10) - 8 + 4 \times 3\)[/tex] step-by-step using the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (left-to-right), Addition and Subtraction (left-to-right)).
1. Parentheses: First, we solve the expression inside the parentheses:
[tex]\[
9 + 10 = 19
\][/tex]
2. Multiplication inside the expression: Next, perform the multiplication involving the result from the parentheses:
[tex]\[
2 \times 19 = 38
\][/tex]
3. Multiplying 4 and 3: Now, perform the multiplication:
[tex]\[
4 \times 3 = 12
\][/tex]
4. Addition and Subtraction: Finally, carry out addition and subtraction from left to right:
[tex]\[
9 + 3 + 38 - 8 + 12
\][/tex]
Start by adding:
[tex]\[
9 + 3 = 12
\][/tex]
Then add the result from step 2:
[tex]\[
12 + 38 = 50
\][/tex]
Subtract 8:
[tex]\[
50 - 8 = 42
\][/tex]
Finally, add the result from step 3:
[tex]\[
42 + 12 = 54
\][/tex]
So, the value of the expression is 54, which matches none of the given choices.
1. Parentheses: First, we solve the expression inside the parentheses:
[tex]\[
9 + 10 = 19
\][/tex]
2. Multiplication inside the expression: Next, perform the multiplication involving the result from the parentheses:
[tex]\[
2 \times 19 = 38
\][/tex]
3. Multiplying 4 and 3: Now, perform the multiplication:
[tex]\[
4 \times 3 = 12
\][/tex]
4. Addition and Subtraction: Finally, carry out addition and subtraction from left to right:
[tex]\[
9 + 3 + 38 - 8 + 12
\][/tex]
Start by adding:
[tex]\[
9 + 3 = 12
\][/tex]
Then add the result from step 2:
[tex]\[
12 + 38 = 50
\][/tex]
Subtract 8:
[tex]\[
50 - 8 = 42
\][/tex]
Finally, add the result from step 3:
[tex]\[
42 + 12 = 54
\][/tex]
So, the value of the expression is 54, which matches none of the given choices.
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Rewritten by : Jeany
