QUESTION IMAGE
Question
1.4.5 add parentheses
main.py
print(2 + 3 * 4 + 8)
Response
- First, recall the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left - to - right, Addition and Subtraction from left - to - right).
- In the expression
2 + 3 4+8, multiplication is done first:3 4 = 12. Then the expression becomes2+12 + 8=22. - If we want to change the order of operations, for example, if we want to add
3and4first and then multiply by2and add8, we can add parentheses like this:print(2+(3 + 4)*8). - First, calculate inside the innermost parentheses:
- Step1: Calculate inside parentheses
3 + 4=7
- Step2: Perform multiplication
7*8 = 56
- Step3: Perform addition
2+56 = 58
- Another possible way to add parentheses is
print((2 + 3)*(4 + 8)). - Step1: Calculate inside the first set of parentheses
2+3 = 5
- Step2: Calculate inside the second set of parentheses
4 + 8=12
- Step3: Perform multiplication
5*12 = 60
If we assume we want to get a different result from the original order of operations result (22), one possible answer could be (2 + 3)*(4 + 8) (the result is 60).
Step1: Calculate inside the first parentheses
$2 + 3=5$
Step2: Calculate inside the second parentheses
$4 + 8 = 12$
Step3: Multiply the results
$5\times12=60$
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