Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal repeating decimal 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. ... The infinitely repeated digit sequence is called the repetend or reptend. › wiki › Repeating_decimal

Repeating decimal - Wikipedia

. Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal.

What is a terminating decimal example?

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 other words, as a decimal 1/3 is 0.33333….. And those threes go on forever.

Is 7/24 a terminating decimal?

So, 24 has a prime factor 3, which is other than 2 and 5. Thus, 724 is not a terminating decimal.

What is terminating and Nonterminating?

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.

Which of the following rationals has terminating decimals?

Hence, rational numbers 16/125 & 7/250 have terminating decimals.

Trick to Identify Terminating Rational Numbers & Non-Terminating Recurring Decimals | Don't Memorise

37 related questions found

Is 5/12 a terminating decimal?

5/12 is a repeating decimal. Divide the numerator by the denominator to see the repeating decimal. 7/8 is a terminating decimal which means the decimal ends.

Is 0.22222 a terminating decimal?

Answer: it is irrational because 0.22222......is non terminating and repeating decimal expansion. so it is irrational.

Is 13 80 A terminating or not?

Yes it is terminating decimal as 80 has 2x2x2x2x5 as it's prime factors.

Is 0.125 a terminating decimal?

A terminating decimal has a set or finite amount of numbers after the decimal point. ... In decimal form it is 0.125, which is a terminating decimal. The fraction 29/200 is 0.145 as a decimal, which is another terminating decimal.

Is 0.6 a terminating decimal?

Since, the remainder is zero. Therefore, 3/5 is terminating and 0.6 is a terminating decimal.

What is terminating decimal?

: a decimal which can be expressed in a finite number of figures or for which all figures to the right of some place are zero — compare repeating decimal.

Is 0.142857 a decimal terminating?

0.142857 is a rational number . Since it is a terminating decimal.

Is 0.222 a repeating decimal?

0.2222… is equal to the fraction with 2 in its numerator (since that's the single number after the decimal point that's repeating over and over again) and 9 in its denominator. In other words, 0.2222… = 2/9.

Is 0.222222 a rational number?

The very nicest rational numbers are those with a finite number of digits in their decimal form. ... Any rational number with a divisor that is not a multiple of 2s and 5s will repeat forever. The simplest ones are the ninths. 1/9=0.111111 …, 2/9=0.222222 …, and so on.

What is 0.125 as a fraction?

0.125 is just 125/1000 when expressed as a fraction. Let's divide 125/1000 by the greatest common factor. The GCF in this instance is 5, and dividing 125/1000 gets us 25/200, which can be divided once more by 5 to get 5/40 and divided by 5 a final time to get ⅛.

Is 6 7 terminating or repeating?

6/7 as a repeating decimal is 0.857142857142.

Is 0.25 terminating or repeating?

If we divide 1 by 4 we get 0.25 followed by as many 0's as we'd like. This is a terminating decimal number.

Why do some decimals terminate?

If they are made up of 2s and/or 5s, the decimal will terminate. If the prime factors of the denominator contain any other numbers, the decimal will recur. Some decimals are irrational, which means that the decimals go on forever but not in a pattern (they are not recurring).

Is 126 45 a terminating decimal?

Answer: It have non terminating because its denominator decimal expansion is not in the form of 2 raise to power something and 5 raise to Power something.

Is 61 75 A terminating decimal?

(6) $\dfrac{17}{40}, 40={{2}^{3}}. 5$ . So, it is terminating. (7) $\dfrac{61}{75},75={{3}^{1}}{{5}^{2}}$ and since it contains 3, So it is not a terminating.

Is 16 225 terminated?

Answer: 16/225=16/(3^2*5^2) is not a terminating decimal because extra 3^2 in the denominator is not reduced to get the denominator in the form of 2^n*5^m.

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.