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