Question: Is 0.25 A Terminating Decimal?

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.

51.202211 is also a terminating decimal because the number ends after the last 1..

What is a terminating decimal example?

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 expressed as 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, one that goes on forever. In other words, as a decimal 1/3 is 0.33333…..

Is 17 8 has a terminating decimal expansion?

Hence, the decimal expansion of 178 is terminating. Since the denominator is not in the form 2m×5n, 2 m × 5 n , and it also contains 7 and 13 as its factors, its decimal expansion will be non-terminating repeating.

What is terminating decimal quotient?

A terminating decimal is a decimal that ends. It’s a decimal with a finite number of digits. … Watch this tutorial to learn about terminating decimals and see some examples!

How do you find terminating decimals without actual division?

For terminating decimal the prime factorisation of denominator should only contain the factor 2 or factor 5 or both factors 2 and 5. prime factorisation of denominator containing factors 2 & any other number or factors 5 & any other number or faciors 2,5 & any other number are non terminating decimals.

Is 0.375 a terminating decimal?

The decimal is terminating. 0.375 → 375. This requires moving decimal point to 3 places to the right to make it a whole number.

Is 0.5 a terminating decimal?

Since the 0.5 can be expressed (written as) as the fraction 1/2, 0.5 is a rational number. That 0.5 is also called a terminating decimal. … This is a repeating decimal that will never end. It’s just sixes forever.

What is non terminating decimal with example?

Terminating and Non-Terminating Decimals 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. It has an infinite number of terms.

Is 7/9 a terminating decimal?

Answer and Explanation: To convert seven-ninths to a decimal, simply divide 7 by 9. As is evident from the image above, 7/9 is a non-terminating decimal equal to 0….

How do you know if a terminating decimal is recurring?

Terminating decimals: these have a finite number of digits after the decimal point. Recurring decimals: these have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely. Decimals which go on for ever, never ending and never forming a repeating pattern.

Is 7/24 a terminating decimal?


What do you mean by non terminating decimal?

Non-Terminating, Non-Repeating Decimal. A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly. Decimals of this type cannot be represented as fractions, and as a result are irrational numbers. Examples.

Is 7/6 a terminating decimal?

Explanation: As 76 is a fraction, it is a rational number and not irrational number. … Rational numbers, when expressed in decimal form have either terminating decimals (when denominator of the fraction in its smallest form has only 2 and 5 as prime factors) on non-terminating but repeating decimals.

Is 0.2 a terminating decimal?

Materials: Preparation: Write on the board this list of terminating decimals: 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. Use a 3-column format with the columns labeled Decimal, Fraction, Simplified Fraction. Say: Writing a terminating decimal as a fraction is simple.

How do you know if a decimal is terminating?

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.

Is 0 a rational number?

Zero Is a Rational Number As such, if the numerator is zero (0), and the denominator is any non-zero integer, the resulting quotient is itself zero.

Which decimal is terminating?

A terminating decimal is usually defined as a decimal number that contains a finite number of digits after the decimal point. A terminating decimal like 13.2 can be represented as the repeating decimal 13.20000000000000…, but when the repeating digit is zero, the number is usually labelled as terminating.

Is 2/5 a repeating or terminating decimal?

If the prime factorization of the denominator of a fraction has only factors of 2 and factors of 5, the decimal expression terminates. If there is any prime factor in the denominator other than 2 or 5, then the decimal expression repeats.

Is 4 a terminating decimal?

To determine whether a given fraction, such as 4/5, can be written as a terminating or repeating decimal, divide the denominator into the numerator of the fraction. Since 5 divided into 4 is 0.8, 4/5 can be written as a terminating decimal.

Is 0.35 a terminating decimal?

Hence, the decimal representation of 7/20 should terminate. The zero remainder terminates the process. Hence, 7/20 = 0.35. Therefore, 3720 = 3.35.