1. write a problem involving addition, subtraction, multiplication, or division of integers and include the answer.
2. what is the acronym used to describe the order of operations?
Simplify the expression using the order of operations show work
3^2[5+(2-4)^2]-15=
For 2 ~
PEMDAS (please excuse my dear aunt sally)
3^2[5+(2-4)^2]-15
= 3^2[5 + (-2)^2] - 15
= 9[5+4]-15
= 9[9] - 15
= 81 - 15
= 66
1. Problem involving addition and subtraction of integers:
Question: John has $20. He spends $10 on a movie ticket and gains $5 from returning a book. How much money does John have now?
Solution: To find the answer, we can start with the initial amount of money ($20) and subtract the amount spent ($10) and add the amount gained ($5).
20 - 10 + 5 = 15
Answer: John has $15 now.
2. Acronym for the order of operations:
The acronym used to describe the order of operations is PEMDAS.
P stands for Parentheses (simplify expressions inside parentheses first)
E stands for Exponents (calculate any exponentiations)
M and D stand for Multiplication and Division (perform any multiplications and divisions from left to right)
A and S stand for Addition and Subtraction (perform any additions and subtractions from left to right)
3. Simplifying an expression using the order of operations:
Question: Simplify the expression 3^2[5+(2-4)^2]-15
Solution:
Step 1: Start by simplifying the expression inside the parentheses: (2-4)^2 = (-2)^2 = 4
Step 2: Next, calculate the exponentiation: 3^2 = 9
Step 3: Now, substitute the simplified values back into the expression:
9[5 + 4] - 15
Step 4: Simplify the addition inside the square brackets: 5 + 4 = 9
Step 5: Substitute the simplified value back into the expression:
9 * 9 - 15
Step 6: Perform the multiplication: 9 * 9 = 81
Step 7: Subtract 15 from the result:
81 - 15 = 66
Answer: The simplified expression is 66.