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What is the value of (4.125-1.0625)?

Answer and explanation

Correct answer: (3.0625)

The direct answer is option B: 3.0625. Align the decimal points and add a zero to the shorter decimal: \(4.125=4.1250\). Now subtract place by place: \(4.1250-1.0625=3.0625\). Checking by parts gives \(4-1=3\) and \(0.1250-0.0625=0.0625\), so the result is 3.0625. Option A, 3.1875, results from an incorrect subtraction or borrowing step. Option B is correct because the aligned subtraction gives exactly this value. Option C, 3.1250, ignores the extra difference of 0.0625. Option D, 2.9375, is too small and could come from subtracting the fractional parts incorrectly. A useful check is that 1.0625 is a little more than 1, so subtracting it from 4.125 should give a little less than 3.125; 3.0625 fits this check, while some other options do not. Write trailing zeros freely: adding zero after a decimal does not change a number.

Related tags

Number-SystemsDecimal-RepresentationDecimal-Subtraction

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