For 2 ~
PEMDAS (please excuse my dear aunt sally)
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=
PEMDAS (please excuse my dear aunt sally)
= 3^2[5 + (-2)^2] - 15
= 9[5+4]-15
= 9[9] - 15
= 81 - 15
= 66
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.