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The value of 0.40.5×10.6−0.2×1.4 is:
12.55
255
12.25
125.5
12.55
Multiply the decimals by 10/10 to clear them: (5 * 10.6 - 2 * 1.4) / 4 = (53 - 2.8) / 4 = 50.2 / 4. Calculation becomes 12.55.
An expression containing multiplication and subtraction in the numerator and a single divisor: (0.5 * 10.6 - 0.2 * 1.4) / 0.4
ea×b−c×d
Multiply the decimals by 10/10 to clear them: (5 * 10.6 - 2 * 1.4) / 4 = (53 - 2.8) / 4 = 50.2 / 4. Calculation becomes 12.55.
Performing the subtraction before the multiplications is a common order of operations error; always multiply before subtracting.
Calculate numerator products
Perform the multiplications in the numerator: 0.5×10.6=5.3 and 0.2×1.4=0.28.
5.3−0.28=5.02
Divide by the denominator
Divide the result of the subtraction by the denominator 0.4.
0.45.02
Final simplification
Multiply numerator and denominator by 10 to simplify the division: 50.2/4=12.55.
12.55
A is correct because the expression evaluates to 12.55.
Always handle decimal shifts carefully by multiplying both numerator and denominator by powers of 10 to avoid calculation errors in exam conditions.
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