Use multiplication, division, addition and subtraction and at least one set of parentheses to write an expression that simplifies to 7, 13, or 17. Do your work step by step and explain each step as you simplify the expression. Demonstrate the consequences of not using the proper order of operations by showing that other orders yield different answers. I want to see if any one can help me come up with a way to solve an expression for 17.

2+3*(2+3) = 17

(2+3)*(2+3) = 25
2+3*2+3 = 11

I need help

Sure! Let's start by building an expression that simplifies to 17. One way to do this is:

(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.

Create an expression that uses subtraction, division, and at least one exponent and simplifies to 6.