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What is a rational number with a terminating decimal?
Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal.
Which rational numbers have a terminating decimal expansion?
Rational Number to decimal Examples Rational number 3/6 results in a terminating decimal. Example: Express 5/13 in decimal form. A rational number gives either terminating or non-terminating recurring decimal expansion.
What do you conclude about terminating and non terminating recurring decimals?
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).
Has the rational number a terminating or non-terminating decimal representation?
If a rational number (≠ integer) can be expressed in the form p2n×5m, where p ∈ Z, n ∈ W and m ∈ W, the rational number will be a terminating decimal. Otherwise, the rational number will be a nonterminating, recurring decimal.
What are terminating decimals and non-terminating decimals?
A terminating decimal is a decimal, that has an end digit. It is a decimal, which has a finite number of digits(or terms). Example: 0.15, 0.86, etc. Non-terminating decimals are the one that does not have an end term.
What is a terminating rational number?
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. are all examples of terminating decimals.
Is rational number terminating or non terminating?
If the denominator of a rational number can be expressed in form 2p5q or 2p or 5q, where p,q∈N, then the decimal expansion of the rational number terminates….Examples of Terminating Decimals.
| Number | Terminating or Non-terminating Decimal |
|---|---|
| √2 | This is not a rational number. So, it is a non-terminating decimal number. |
Has the rational number a terminating or a non terminating decimal representation?
The denominator is not of the form 2n 5m as it has 72 as its factor. Therefore, Given rational number has a non-terminating decimal representation.