Answer:
24 = 24
Explanation:
PEMDAS
The PEMDAS rule is an acronym representing the order of operations in math:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Solution Option 1
(Taking * as a multiplication sign)
Given equation:
4(2 × 2 + 3) - 2 × 2 = -(3 × 2 - 1) + 29
Following the order of operations, carry out the operations inside the parentheses first, starting with the multiplication:
4(4 + 3) - 2 × 2 = -(6 - 1) + 29
Carry out the addition and subtraction inside the parentheses:
4(7) - 2 × 2 = -(5) + 29
Now carry out the multiplication:
28 - 4 = -5 + 29
Finally carry out the addition and subtraction:
24 = 24
Solution Option 2
(Taking * as a "raising to the power of" sign)
Given equation:
4(2² + 3) - 2² = -(3² - 1) + 29
Following the order of operations, carry out the operations inside the parentheses first, starting with the exponents:
4(4 + 3) - 2² = -(6 - 1) + 29
Carry out the addition and subtraction inside the parentheses:
4(7) - 2² = -(5) + 29
Now carry out the exponents:
28 - 4 = -5 + 29
Finally carry out the addition and subtraction:
24 = 24