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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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.

Express each of the following as a rational number

What is the standard form of a rational number? How to convert a rational number into standard form? In order to express a given rational number in the standard form, we follow the following steps: Step I: Obtain the rational number. Step II: See whether the denominator of the rational number is positive or not. If it is negative, multiply or divide numerator and denominator both by -1 so that denominator becomes positive. The rational number so obtained is the standard form of the given rational number. The following examples will illustrate the above procedure to convert a rational number into standard form. In order to express it in standard form, we divide its numerator and denominator by the greatest common divisor of 9 and 24 is 3. So, we first make it positive. The greatest common divisor of 14 and 35 is 7.

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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.

Notes from this class 2 pages. Download Filo and start learning with your favourite tutors right away! Essay review. Taught by Hilal Ahmad. Class 7. Topic: Mathematics. Download Filo and start learning with your favourite tutors right away! Views: 5, students. One destination to cover all your homework and assignment needs. Question 2. Practice more questions on All topics Question 1 Easy. Express each of the following rational numbers as the sum of an integer and a rational number. Teaches : Mathematics, Science, English. Total classes on Filo by this tutor - 3, Students who ask this question also asked Question 1.