How Do You Know If A Decimal Is Terminating?

by | Last updated on January 24, 2024

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To find out whether a fraction will have a terminating or recurring decimal

How do you know if terminating or non terminating?

Terminating decimals: Terminating decimals are those numbers which come to an end after few repetitions after decimal point. Example: 0.5, 2.456, 123.456, etc. … Non terminating decimals: Non terminating decimals are those

which keep on continuing after decimal point

(i.e. they go on forever).

How do you tell if a decimal is repeating or terminating?

Just divide the numerator by the denominator .

If you end up with a remainder of 0

, then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal

What is an example of a terminating decimal?

Terminating decimal numbers are the decimals which has a finite number of decimal places. In other words, these numbers

end after a fixed number of digits after the decimal point

. For example, 0.87, 82.25, 9.527, 224.9803, etc.

What is a terminating decimal?

A terminating decimal, true to its name, is

a decimal that has an end

. For example, 1 / 4 can be expressed as a terminating decimal: It is 0.25. In contrast, 1 / 3 cannot be expressed as a terminating decimal, because it is a recurring decimal

Is 9.373 a repeating decimal?

The number 9.373

is not a repeating decimal

. It is a terminating decimal because the decimal has a distinct ending number.

Is 5.692 terminating or repeating?

5.692 is a

terminating decimal

because the decimal stopped at the digit of 2.

Is 0.6 a terminating decimal?

Therefore, 3/5 is terminating and

0.6 is a terminating decimal

.

Is 0.8 a terminating decimal?

Since there is only one decimal,

0.8 is a terminating decimal

. If it were a repeating decimal

Are terminating decimals rational?

An integer can be written as a fraction by giving it a denominator of one, so any integer is a

rational

number. A terminating decimal can be written as a fraction by using properties of place value. … ), is a rational number.

What are non-terminating decimals?

: not terminating or ending especially : being

a decimal for which there is no place to the right of the decimal point such

that all places farther to the right contain the entry 0 1/3 gives the nonterminating decimal .

What is terminating decimal and non-terminating decimal?

A terminating decimal is a decimal, that has an end digit. It is a decimal, which has a finite number of digits(or terms). … Non-terminating decimals are

the one that does not have an end term

.

What makes a decimal repeat?

A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. … This is obtained by

decreasing the final (rightmost) non-zero digit by one and appending a repetend of 9

.

Is 1.0227 repeating a rational number?

The decimal

1.0227 is a rational number

. First of all, it is a terminating decimal, which means that the decimal has a definite ending point.

Is 0.9 Repeating a rational number?

You cannot express them as ratios of two integers. Yes, that’s correct, and you are also correct that 0.99 repeating can be expressed as 9/9, or, more simply, 1/1. Therefore, it’s

a rational number

.

Charlene Dyck
Author
Charlene Dyck
Charlene is a software developer and technology expert with a degree in computer science. She has worked for major tech companies and has a keen understanding of how computers and electronics work. Sarah is also an advocate for digital privacy and security.