Question

(c) 0.444…
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.
(d) 0.714352…
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:

Step1: Analyze 0.444...

0.444... is a repeating decimal (the digit 4 repeats infinitely). All repeating decimals can be expressed as a fraction of two integers.

Step2: Analyze 0.714352...

The decimal 0.714352... has no indicated repeating pattern and does not terminate, meaning it is a non-terminating, non-repeating decimal. Such decimals are irrational and cannot be written as a fraction of two integers.

Answer:

For (c) 0.444...

Can this be written as a fraction? Yes
Give the reason: This is a repeating decimal.

For (d) 0.714352...

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