Source: Extra Practice

Evaluate: 60÷[(3)×2(84)]+1060 \div [(-3) \times 2 - (8 - 4)] + 10.

Options

Option A is correct

4

Option B

16

Option C

0

Option D

-34

Explanation

The correct option is 4. We apply the BODMAS/PEMDAS rule.\n1. Innermost parentheses: (84)=4(8 - 4) = 4.\n2. Inside the square bracket, perform multiplication first: (3)×2=6(-3) \times 2 = -6.\n3. Complete the square bracket: [64]=10[-6 - 4] = -10.\n4. The expression becomes: 60÷[10]+1060 \div [-10] + 10.\n5. Perform division: 60÷(10)=660 \div (-10) = -6.\n6. Finally, perform addition: 6+10=4-6 + 10 = 4.\nIncorrect options arise from errors such as incorrect signs for integer operations (e.g., option 16 forgets the negative sign for 60÷(10)60 \div (-10)) or incorrect application of the order of operations (e.g., option -34 results from ignoring the brackets for division).