Question

Is the fraction 1/3 equivalent to a terminating decimal or number that does not terminate

Answer 1

Answer:

The fraction 1/3 is not equivalent to a a terminating decimal, the fraction is equivalent a number that does not terminate (repeating decimal)

Step-by-step explanation:

we know that

A terminating decimal it's a decimal with a finite number of digits.

A repeating decimal is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending

In this problem we have

1/3=0.33333333...

The digit 3 repeat over and over and over again without ever ending

therefore

The fraction 1/3 is not equivalent to a a terminating decimal, the fraction is equivalent a number that does not terminate (repeating decimal)

Answer 2

A terminating decimal is a decimal that has a terminal endpoint.

For example:

$\mathbf{\dfrac{1}{5} = 0.2}$

In the above example, we can see that the fraction has a terminating decimal.

However, from the given fraction:

$\mathbf{\dfrac{1}{3} = 0.333333333333}$

We can see that the value keeps repeating itself without a terminal endpoint.

In this case, the fraction is said to be a fraction that does not terminate.

Therefore, we can conclude that the fraction 1/3 is equivalent to a number that does not terminate.

Learn more about fractions here:

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