2+3*(2+3) = 17
(2+3)*(2+3) = 25
2+3*2+3 = 11
(2+3)*(2+3) = 25
2+3*2+3 = 11
(8 + 4) * (10 ÷ 2) - 3
Step 1: Inside the parentheses, perform the addition first:
12 * (10 ÷ 2) - 3
Step 2: Inside the second set of parentheses, perform the division:
12 * 5 - 3
Step 3: Multiply:
60 - 3
Step 4: Subtract:
57
So, the expression simplifies to 57, not 17.
Now, let's adjust the expression to simplify to 13. We will change the initial addition inside the parentheses:
(6 + 7) * (10 ÷ 2) - 3
Step 1: Inside the parentheses, perform the addition first:
13 * (10 ÷ 2) - 3
Step 2: Inside the second set of parentheses, perform the division:
13 * 5 - 3
Step 3: Multiply:
65 - 3
Step 4: Subtract:
62
So, the expression simplifies to 62, not 13.
Finally, let's modify the expression to simplify to 7. We will change the second multiplication:
(8 + 4) * (10 ÷ 5) - 3
Step 1: Inside the parentheses, perform the addition first:
12 * (10 ÷ 5) - 3
Step 2: Inside the second set of parentheses, perform the division:
12 * 2 - 3
Step 3: Multiply:
24 - 3
Step 4: Subtract:
21
So, the expression simplifies to 21, not 7.
This demonstrates the importance of the proper order of operations. If you don't follow the order, you will obtain different results. To ensure the correct answer, always remember to perform operations inside parentheses first, then perform any multiplication or division before addition or subtraction.