Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

1.4.5 add parentheses main.py print(2 + 3 * 4 + 8)

Question

1.4.5 add parentheses
main.py
print(2 + 3 * 4 + 8)

Explanation:

Response
  1. 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 becomes 2+12 + 8=22.
  • If we want to change the order of operations, for example, if we want to add 3 and 4 first and then multiply by 2 and add 8, 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

$5\times12=60$

Answer:

$60$