Source: Extra Practice

A student calculated the value of 306×2+430 - 6 \times 2 + 4 as 52. What is the correct value of the expression?

Options

Option A is correct

22

Option B

52

Option C

14

Option D

-6

Explanation

The correct option is 22.\nThe given expression is 306×2+430 - 6 \times 2 + 4. According to the BODMAS/PEMDAS rule, multiplication should be performed before addition or subtraction.\n1. Perform multiplication: 6×2=126 \times 2 = 12.\n2. The expression becomes: 3012+430 - 12 + 4.\n3. Now perform subtraction and addition from left to right: 3012=1830 - 12 = 18.\n4. Finally, perform addition: 18+4=2218 + 4 = 22.\nThe student's answer of 52 results from performing operations from left to right without respecting the order of operations (306=2430 - 6 = 24, then 24×2=4824 \times 2 = 48, then 48+4=5248 + 4 = 52). Option 14 would result from doing addition before subtraction (30(12+4)30 - (12+4)).