Examkin

Question

Difficulty: EasySimplification and BODMAS Rule
Evaluate the following numerical expression using the correct order of operations (BODMAS):
40−4×(6−2)÷2+540 - 4 \times (6 - 2) \div 2 + 5
What is the final result?
  1. 37Answer
  2. B
    27
  3. C
    77
  4. D
    17

Answer

The final result of the expression is 37.
Following the BODMAS rule: first simplify the bracket (6−2)=4(6 - 2) = 4. Next, execute multiplication and division from left to right: 4×4=164 \times 4 = 16 and 16÷2=816 \div 2 = 8. The expression reduces to 40−8+540 - 8 + 5. Finally, carry out subtraction and addition from left to right: 40−8=3240 - 8 = 32, and 32+5=3732 + 5 = 37.

Step-by-Step Solution

1
Evaluate the expression inside the brackets
6−2=46 - 2 = 4
According to BODMAS, operations inside brackets (B) take highest priority.
2
Perform multiplication and division from left to right
4×4=164 \times 4 = 16, then 16÷2=816 \div 2 = 8
Multiplication and Division (DM) carry equal priority and are evaluated in order from left to right.
3
Perform addition and subtraction from left to right
40−8+5=32+5=3740 - 8 + 5 = 32 + 5 = 37
Addition and Subtraction (AS) carry equal priority and are evaluated sequentially from left to right.

Key Concept

BODMAS Order of Operations
Rate this question

Topics

Simplification and BODMAS Rule

More questions from this topic