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

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

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.

Is the quotient of two integers where the divisor is not zero?

The rules for dividing integers are similar to the rules for multiplying integers (when the divisor is not zero). The quotient is positive if the divisor and dividend have the same signs and negative if they have opposite signs. The quotient of any integers (with a nonzero divisor) will be a rational number.

Does all rational numbers decimals end with zeros?

▫ No. Dividing by zero is not allowed. All quotients have decimal representations, but some do not terminate (end). powers of ten in their denominators (and their equivalent fractions) can be represented as terminating decimals.

### Can every number be written as a quotient of two integers?

Rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

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.

What type of number is divided by?

The number you are “dividing by” is the divisor. The answers to your division problems are called quotients. Six divided by two gives you a quotient of three.

#### Is 1 6 a terminating or repeating decimal?

So, 1/6 as a decimal is 0.16666… This is a non-terminating repeating decimal number.

Is 2/5 terminating or repeating?

When the only prime factors of the denominator are 2 and 5 the decimal terminates. When the denominator has a prime factor other than 2 or 5 the decimal eventually repeats.

How do you express the quotient of two integers?

Writing Integers as Quotients Dividing any number by 1 gives you the original number, so to express an integer like 5 as a quotient, you simply write 5/1. The same is true for negative numbers: −5 = −5/1.

## What is the quotient of two integers?

The quotient of two integers is always a rational number.