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Why are rational numbers terminating or repeating decimal?

Because terminating or repeating decimals can be written as the quotient of two integers a/b, where b is not equal to zero.


Is 5.7161616 rational?

Yes, 5.7161616 is a rational number because it can be expressed as a fraction of two integers. Specifically, it can be written as ( \frac{57161616}{10000000} ). Rational numbers include all integers, fractions, and terminating or repeating decimals, and since 5.7161616 is a terminating decimal, it fits this definition.


What are the 3 types of rational numbers?

If you convert them into decimal form you can say there are terminating decimals, there are the integers, and there are repeating decimals. EX: 2.4 is a terminating decimal. 2.44444444... is a repeating decimal. 2 is an integer. all are rational numbers.


What includes the integers and all terminating and repeating decimals in the real system?

The set of rational numbers (ℚ).


Why is terminating and repeating decimals a rational number?

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Terminating or repeating decimals are the result of this.


Is 3.25 repeating an integer?

No because integers are whole numbers without decimals or fractions.


How can a decimal be a rational number-?

Rational Numbers are any number that can be written in fraction form .This includes integers, terminating decimals, and repeating decimals as well as fractions. A decimal number can be written in rational numbers depending on the place value of the decimal point.


Are all terminating and repeating decimals rational numbers and why?

Yes, they are and that is because any terminating or repeating decimal can be expressed in the form of a ratio, p/q where p and q are integers and q is non-zero.


Is 1.567 rational?

Yes, 1.567 is a rational number because it can be expressed as a fraction. Specifically, it can be represented as 1567/1000, where both the numerator and denominator are integers. Rational numbers are defined as numbers that can be expressed in this way, including integers, fractions, and terminating or repeating decimals.


Is 14.23 rational or irrational?

14.23 is a rational number because it can be expressed as a fraction of two integers. Specifically, it can be written as 1423/100, where both 1423 and 100 are integers. Rational numbers include all integers, fractions, and terminating or repeating decimals, making 14.23 fall into this category.


Is negative 3.25 repeating decimal an integer?

No because integers are whole numbers without decimals or fractions


How can a decimal be a rational number?

Any number that can be written in fraction form is a rational number. This includes integers , terminating decimals , and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one so any integer in a rational number.