Question

(d) 0.254
can this be written as a fraction?
○yes ○no
give the reason.
○ this is a terminating decimal.
○ this is a repeating decimal.
○ this is a decimal that neither terminates nor repeats.

Explanation:

1. For the first part (Can 0.254 be written as a fraction?):

• A terminating decimal is a decimal that has a finite number of digits after the decimal point. 0.254 has three digits after the decimal point, so it is a terminating decimal. And all terminating decimals can be written as fractions. For example, \(0.254=\frac{254}{1000}\) (we can simplify it further, but the key point is it can be expressed as a fraction). So the answer to "Can this be written as a fraction?" is Yes.

1. For the reason part:

• As 0.254 has a finite number of decimal places (it terminates), and all terminating decimals are rational numbers which can be expressed as fractions. So the correct reason is "This is a terminating decimal."

Answer:

1. Can this be written as a fraction? : Yes
2. Reason: This is a terminating decimal.