Fast solutions for complex problems

Is a negative terminating decimal rational?

Terminating decimals are always rational. Nonterminating decimals have digits (other than 0) that continue forever. For example, consider the decimal form of , which is 0.3333….

Which rational number has terminating decimal?

A rational number is a number that can be written as a fraction, a/b where a and b are integers, or that has terminating or non-terminating but repeating terms. Hence, the number 3.14 is a rational number, since it has terminating terms after the decimal point.

Is terminating or non terminating?

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. It has an infinite number of terms.

Is 16 225 a terminating decimal?

But here in this case, the decimal is a non-terminating decimal.

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 6 by 15 is terminating?

6/15 will have terminating decimal expansion only if its denominator can be written in the form 2^n × 5^m. Here, 15 = 3 × 5, that means 6/15 will not have a terminating decimal expansion.

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.

Is 225 terminating?

(i) Here q = 225 Since it is in the form of 5m, it is a terminating decimal.

IS 225 is a terminating decimal?

Hence √23 is an irrational number. √225 = 15/1 = p/q, where p and q are integers and q ≠ 0. Hence √225 is a rational number. 0.3796 is a rational number because it is a terminating decimal number.

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

To find out whether a fraction will have a terminating or recurring decimal, look at the prime factors of the denominator when the fraction is in its most simple form. If they are made up of 2s and/or 5s, the decimal will terminate.

Is 0.375 a rational number?

0.375 is a rational no. which can be expressed in form of p / q.

Are all rational numbers are terminating?

Every rational number is either a terminating or repeating decimal . For any given divisor, only finitely many different remainders can occur. In the example above, the 74 possible remainders are 0, 1, 2., 73. If at any point in the division the remainder is 0, the expansion terminates at that point.

What are terminating decimals and repeating decimals?

A terminating decimal is a decimal that ends and has a finite number of digits. A repeating decimals is a decimal that repeats its digits infinitely.

Is repeating decimal rational or irrational?

“The sum of a rational number and an irrational number is irrational.”. By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.

Are all nonterminating decimals irrational numbers?

All non-terminating and non recurring decimals are IRRATIONAL NUMBERS. And also 0.3333 is non-terminating as the decimal is not ending or the remainder for 1/3 is not zero. So from 2) 0.333 is an irrational and it is non terminating.