Question

Which statement is true when a rational number in fractional form is converted to a decimal I. The decimal represents II. The decimal terminates

A: I only

B: either I or II

C: II only

D: neither I nor II

Answer 1

convert the following fraction to a decimal 9/16

Answer 2

The correct answer is **A: I only**.

Here's the reasoning:

I. The decimal represents - This is true for any rational number when it's converted to decimal form because a rational number can always be expressed as a decimal.

II. The decimal terminates - This is not always true. A rational number will have a terminating decimal if, when expressed in simplest form, its denominator has no prime factors other than 2 or 5. If it has other prime factors, the decimal will be repeating.

Since statement I is always true and statement II is not, the correct answer is A: I only.

Answer 3

To convert the fraction \( \frac{9}{16} \) to a decimal, you can divide the numerator by the denominator.

\[
9 \div 16 = 0.5625
\]

Therefore, \( \frac{9}{16} \) as a decimal is **0.5625**.