Subtraction after division with decimals Evaluate: 5005 − 5000 ÷ 10.00 (remember division before subtraction).

Difficulty: Easy

Correct Answer: 4505

Explanation:


Introduction / Context:
Many slip-ups occur when subtraction appears before a division term. This item checks that you execute the division first—even with a decimal divisor—before performing the subtraction.


Given Data / Assumptions:

  • Expression: 5005 − 5000 ÷ 10.00.
  • Operator precedence: division before subtraction.
  • 10.00 equals 10 exactly; the trailing zeros are cosmetic.


Concept / Approach:
Compute 5000 ÷ 10.00 first to get an exact integer. Then subtract that result from 5005. Converting 10.00 to 10 makes no difference to the value.


Step-by-Step Solution:
Compute division: 5000 ÷ 10.00 = 500.Subtract: 5005 − 500 = 4505.Therefore, the expression evaluates to 4505.


Verification / Alternative check:
View as 5005 − (5000/10) = 5005 − 500 = 4505, which is unchanged by representing 10 as 10.00. The decimal formatting does not alter the arithmetic.


Why Other Options Are Wrong:
50 confuses subtraction with division of the whole number; 5000 ignores the division completely; 0.5 arises from dividing 5 by 10 erroneously.


Common Pitfalls:
Subtracting first (5005 − 5000) and then dividing; misreading 10.00 as 100; or believing decimal points change the numeric value of 10.


Final Answer:
4505

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