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Can a fraction be rational?
Yes it can. In fact, all real fractions are rational. Numbers are said to be rational that are ratios of the whole numbers. For example: 3/3 = 1 , therefore 1 is rational (and all other whole numbers) 2/3 = .666... , therefore .666... is rational because it is a ratio of 2 to 3. 123512/321235 also rational. There are some types of numbers, trancendental numbers, for example, for which no ratio exists. We call those numbers irrational. Famously, the number pi is the ratio between the diameter and circumfrence of a circle. There is no whole number ratio that can represent this relationship. Pi is both transendental and irrational.
Numbers that can be written as the ratio of two integers are called numbers?
Rational numbers.
Which set is the intersection of integers and rational numbers?
The intersection of integers and rational numbers is the set of integers. Integers are whole numbers that can be positive, negative, or zero, while rational numbers are numbers that can be expressed as a ratio of two integers. Since all integers can be expressed as a ratio of the integer itself and 1, they are a subset of rational numbers, making their intersection the set of integers.
What is the difference between decimal and rational number?
A number x is said to be rational if it can be expressed as the ratio p/q where p and q are integers, and q is not 0. For each rational number there is an equivalent decimal representation which is either a terminating decimal or one that has an infinitely recurring pattern. A decimal number which is infinite but without any recurring pattern is an irrational number.Thus rational numbers form a subset of decimal numbers.
What are rational numbers and what are irrational numbers?
They are both real numbers. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
