Question

Kara followed these steps to evaluate the expression 22 + (30-4)+2.

30-4=26
26 + 22= 48
48 ÷ 22 = 4
George looks at Kara's work and says she made a mistake. He says she should have divided by 2 before she added.
Part A
Which student is correct? Explain how you know.

Answer 1

Kara followed the correct order of operations and George's claim is incorrect.

Step-by-step explanation:

In the expression 22 + (30-4)+2, Kara followed the correct order of operations, which is known as PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). According to PEMDAS, Kara first evaluated the expression inside the parentheses by subtracting 4 from 30, which gave her 26. Then, she added 22 and 26 to get 48. Finally, she added 2 to 48 to get the final result of 50. George's claim that she should have divided by 2 before adding is incorrect, as there is no division operation involved in the given expression.