Question

(c) 0.6294…
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:

To determine if a decimal can be written as a fraction, we use the property that a decimal can be expressed as a fraction if and only if it is a terminating decimal (ends after a finite number of digits) or a repeating decimal (has a repeating pattern of digits). The decimal \(0.6294\ldots\) (assuming the "..." indicates it continues without a repeating pattern) is a non - terminating and non - repeating decimal. Non - terminating and non - repeating decimals are irrational numbers and cannot be expressed as a fraction (a ratio of two integers). So the answer to "Can this be written as a fraction?" is "No" and the reason is "This is a decimal that neither terminates nor repeats."

Answer:

Can this be written as a fraction? : No
Give the reason. : This is a decimal that neither terminates nor repeats.