We appreciate your visit to Ed tried to evaluate the expression tex 7 3 times 9 4 div 2 tex Here is his work tex begin aligned 7 3 times. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Let's evaluate whether Ed's work is correct. We need to follow the correct order of operations, which is Parentheses, Exponents (which we don't have here), Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.
Let's go through each step of the expression [tex]\([7+3 \times (9-4)] \div 2\)[/tex].
### Step-by-Step Solution:
1. Perform the operation inside the parentheses:
[tex]\[
9 - 4 = 5
\][/tex]
2. Multiply the result by 3:
[tex]\[
3 \times 5 = 15
\][/tex]
3. Add 7 to the result from the multiplication:
[tex]\[
7 + 15 = 22
\][/tex]
4. Divide by 2:
[tex]\[
22 \div 2 = 11
\][/tex]
### Conclusion:
Ed's work resulted in a final answer of 25. However, when we followed the correct order of operations, the result should be 11. Therefore, Ed made a mistake. Specifically, his calculations went awry after correctly evaluating the multiplication but before completing the addition and division.
Let's go through each step of the expression [tex]\([7+3 \times (9-4)] \div 2\)[/tex].
### Step-by-Step Solution:
1. Perform the operation inside the parentheses:
[tex]\[
9 - 4 = 5
\][/tex]
2. Multiply the result by 3:
[tex]\[
3 \times 5 = 15
\][/tex]
3. Add 7 to the result from the multiplication:
[tex]\[
7 + 15 = 22
\][/tex]
4. Divide by 2:
[tex]\[
22 \div 2 = 11
\][/tex]
### Conclusion:
Ed's work resulted in a final answer of 25. However, when we followed the correct order of operations, the result should be 11. Therefore, Ed made a mistake. Specifically, his calculations went awry after correctly evaluating the multiplication but before completing the addition and division.
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