## Is 0.33 repeating a rational number?

A rational number is a number that satisfies an equation of the form a=bx, where a and b are integers and b\neq 0.

So 0.33\overline{3} is a rational number because it is the result we get when we divide 1 by 3, or equivalently, because it is a solution to 1=3x..

## Is 5.676677666777 a rational number?

7. Jeremy says that 5.676677666777… is a rational number because it is a decimal that goes on forever with a pattern. … The graphic organizer represents the sets of all real numbers.

## Is 2/5 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 0.3333 a irrational number?

All non-terminating and non recurring decimals are IRRATIONAL NUMBERS. … 1/3=0.333333 Here 3 is recurring , so from statement 1) 0.3333 or 1/3 is a rational number. And also 0.3333 is non-terminating as the decimal is not ending or the remainder for 1/3 is not zero.

## Is 0.9 Repeating a rational number?

One of them says that a rational number is that which is non-terminating (a number which cannot be terminated) and repeating . … =0.9/(1–0.1) =0.9/0.9 =1 = 1/1, and so it is a rational number clearly, and an integer too. In fact all terminating as well as recurring decimals are rational numbers due to similar reasons.

## What type of number is repeating?

Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers.

## Is repeating a rational number?

A repeating decimal can be written as a fraction using algebraic methods, so any repeating decimal is a rational number.

## Is 2.11 a repeating number?

Gus; 2.11 is a repeating decimal because it stops.

## Is 2/3 a rational or irrational number?

In mathematics rational means “ratio like.” So a rational number is one that can be written as the ratio of two integers. For example 3=3/1, −17, and 2/3 are rational numbers. Most real numbers (points on the number-line) are irrational (not rational).