can someone correct this for me.
Directions: Insert grouping symbols in the proper place so that the given value of the expression is obtained.
5-3* 2 + 8 * 5 -2 ; 28
My answer: 5-3*2+8* (5-2)
(5-3)*2 + 8*(5-2)
= 2*2 + 8*3
= 4 + 24
= 28
Thank you that makes more sense
You're welcome! I'm glad that explanation helped. Let me break down the steps for you:
To get the desired value of 28, we need to insert grouping symbols in the given expression: 5-3*2+8*5-2.
We need to determine where to place the grouping symbols to ensure the correct order of operations is followed. The order of operations states that multiplication and division should be performed before addition and subtraction.
In your answer, you correctly inserted grouping symbols as follows: 5-3*2+8*(5-2).
Now let's simplify the expression:
Step 1: Inside the parentheses, we have 5-2, which is equal to 3.
Step 2: Multiply 8 by 3, which gives us 24.
Step 3: Multiply 3 by 2, which gives us 6.
Step 4: Finally, subtract 6 from 5, giving us -1.
Step 5: Add -1 to 24, which gives us 23.
So, the expression 5-3*2+8*(5-2) evaluates to 23, not 28.
To achieve the desired value of 28, we should insert grouping symbols as follows: (5-3)*2+8*(5-2).
Following the order of operations:
Step 1: Inside the first set of parentheses, we have 5-3, which is equal to 2.
Step 2: Multiply 2 by 2, which gives us 4.
Step 3: Inside the second set of parentheses, we have 5-2, which is equal to 3.
Step 4: Multiply 8 by 3, which gives us 24.
Step 5: Add 4 to 24, which gives us 28.
Therefore, using the expression (5-3)*2+8*(5-2) will give us the desired result of 28.