Decimal operations with order of operations Evaluate the expression precisely: 0.05 * 5 − 0.005 * 5. Show the simplified result.

Introduction / Context:
Decimal simplification questions test careful application of multiplication before subtraction and accurate place-value handling. Here we evaluate two decimal products and then subtract, which is a common pattern in bank PO and aptitude exams.

Given Data / Assumptions:

• Expression: 0.05 * 5 − 0.005 * 5.
• Standard operator precedence: multiplication before subtraction.
• All numbers are exact decimals; no rounding is needed.

Concept / Approach:
Perform each multiplication independently, then subtract. Converting to fractions can also help: 0.05 = 5/100 and 0.005 = 5/1000. Both strategies lead to the same exact value.

Step-by-Step Solution:
Compute A = 0.05 * 5 = 0.25.Compute B = 0.005 * 5 = 0.025.Subtract: A − B = 0.25 − 0.025 = 0.225.Therefore, the simplified result is 0.225.

Verification / Alternative check:
Fraction method: 0.05 = 5/100, so A = (5/100)*5 = 25/100 = 0.25. Also, 0.005 = 5/1000 ⇒ B = (5/1000)*5 = 25/1000 = 0.025. Their difference is 0.225, confirming the decimal computation.

Why Other Options Are Wrong:
2.25 and 2.025 arise from misplaced decimal points or ignoring place values.0.29875 does not follow any correct intermediate calculation for these factors.

Common Pitfalls:
Treating 0.05*5 as 0.5 (sliding the decimal incorrectly) or subtracting before multiplying. Always multiply first, then subtract, while carefully tracking decimal places.

Final Answer:
0.225