What is the decimal form of ( \frac{5}{8} )?

Correct answer: (0.625)

Direct answer: Option B, 0.625. A fraction means division, so calculate \(5\div8\). A convenient method is to make the denominator 1000: multiply numerator and denominator by 125, because \(8\times125=1000\). Thus \(\frac58=\frac{5\times125}{8\times125}=\frac{625}{1000}=0.625\). Equivalently, long division gives 5.000 ÷ 8: 8 goes into 50 six times, leaving 2; bring down 0 to get 20, which gives 2, leaving 4; bring down 0 to get 40, which gives 5, leaving 0. Option B is correct. Option A, 0.58, incorrectly joins the digits 5 and 8 instead of dividing. Option C, 0.875, equals \(7/8\), not \(5/8\). Option D, 0.525, is another unrelated decimal and does not equal the fraction. Since the denominator 8 divides 1000 exactly after multiplication, the decimal terminates. Memory cue: \(1/8=0.125\), so \(5/8=5\times0.125=0.625\).