Express each of the following as a rational number

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Express each of the following as a rational number

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Notes from this class 2 pages.

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Expressing a rational number in its standard form means there is no common factor, other than 1, available in its numerator and denominator and its denominator is a positive integer. In Maths, we rationalize the fractions to express them into standard forms. The fractions have numerator and denominator part. A fraction is in standard form when the numerator and denominator are co-prime. All integers and fractions are rational numbers. It is easy to perform addition and subtraction of rational numbers once we have rationalised their denominators. The standard form of rational number helps us to determine the value in a more specific way. Go through the following steps to convert the given rational number to its standard form.

Express each of the following as a rational number

Rational numbers can be represented as decimals. The different types of rational numbers are Integers like -1, 0, 5, etc. The decimal representation of a rational number is converting a rational number into a decimal number that has the same mathematical value as the rational number. A rational number can be represented as a decimal number with the help of the long division method. We divide the given rational number in the long division form and the quotient which we get is the decimal representation of the rational number. A rational number can have two types of decimal representations expansions :. Note: Any decimal representation that is non-terminating and non-recurring, will be an irrational number. Let's try to understand what are terminating and non-terminating terms. While dividing a number by the long division method , if we get zero as the remainder, the decimal expansion of such a number is called terminating. Let us see the long division of 1 by 2 in the following image:.

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