Apply BODMAS/PEMDAS to mixed decimals Evaluate: 4 − 3.6 ÷ 4 + 0.2 * 0.5 (division and multiplication before addition/subtraction).

Introduction / Context:
This problem checks correct use of BODMAS/PEMDAS where division and multiplication precede addition and subtraction. With decimals, it also assesses your comfort handling tenths correctly.

Given Data / Assumptions:

• Expression: 4 − 3.6 ÷ 4 + 0.2 * 0.5.
• Compute division and multiplication left to right before combining with addition/subtraction.
• No rounding is needed because all results are terminating decimals.

Concept / Approach:
Execute the operations in two passes: first compute 3.6 ÷ 4 and 0.2 * 0.5, then aggregate with 4 using addition/subtraction signs as given.

Step-by-Step Solution:
Compute 3.6 ÷ 4 = 0.9.Compute 0.2 * 0.5 = 0.1.Now evaluate: 4 − 0.9 + 0.1 = 3.2.Hence, the value is 3.2.

Verification / Alternative check:
Convert to fractions if desired: 3.6 = 36/10, 0.2 = 1/5, 0.5 = 1/2. Then 36/10 ÷ 4 = 36/40 = 9/10 = 0.9 and (1/5)*(1/2) = 1/10 = 0.1, leading to the same final sum 3.2.

Why Other Options Are Wrong:
0.2 and 0.15 ignore part of the expression or misapply operator precedence.1.65 arises from subtracting 3.6 first then dividing, which is incorrect order.

Common Pitfalls:
Performing subtraction before division, or multiplying 0.2 and 0.5 incorrectly as 0.01. Remember: 2 tenths times 5 tenths is 10 hundredths = 0.1.

Final Answer:
3.2