Question

Difficulty: EasyDecimal Operations

What is the final result of the expression 9.25−3.4×0.59.25 - 3.4 \times 0.5?

  1. A
    2.9252.925
  2. B
    9.089.08
  3. 7.557.55Answer
  4. D
    10.9510.95

Answer

The correct answer is 7.557.55.
The expression requires following the proper order of operations, meaning the multiplication must be calculated before the subtraction. First, multiplying 3.43.4 by 0.50.5 yields 1.71.7. Then, aligning the decimals correctly and subtracting 1.71.7 from 9.259.25 provides the final answer of 7.557.55.

Step-by-Step Solution

1
Identify the correct order of operations (PEMDAS/BODMAS) for the expression.
Multiplication must be performed before subtraction.
Standard mathematical rules require evaluating multiplication before addition or subtraction.
2
Multiply 3.43.4 by 0.50.5.
3.4×0.5=1.73.4 \times 0.5 = 1.7
Resolving the multiplication part of the expression.
3
Subtract the product from 9.259.25, ensuring the decimal points are vertically aligned.
9.25−1.70=7.559.25 - 1.70 = 7.55
Completing the final subtraction operation to find the total value.

Key Concept

Decimal Operations
Estimated Time:45s
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