MathsRational Numbers in Standard Form – Conversion and Solved Examples

Rational Numbers in Standard Form – Conversion and Solved Examples

Define Standard Form of a Rational Number

A rational number is a number that can be expressed as a fraction, where the numerator and denominator are both integers. The most common form of a rational number is in what is called standard form. In standard form, the number is written as a fraction with the smallest possible denominator. So, for example, the number 1/4 would be written as 1/4 = 4/100.

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    What is the Standard Form of a Rational Number?

    The standard form of a rational number is a number expressed as a fraction, in which the numerator and denominator are integers.

    How to Convert a Rational Number into Standard Form?

    Converting a rational number into standard form is a process of reducing the number to its lowest terms and writing it in the form of a fraction with a denominator of 1. This can be done by dividing both the numerator and denominator of the rational number by the largest common denominator.

    on Rational Numbers Standard Forms

    There are three standard forms for rational numbers:

    decimal form
    fraction form
    percent form

    Each form has a different way of representing a rational number.

    Decimal form is the most common way of representing a rational number. In this form, a rational number is written as a number between 0 and 1, with a decimal point dividing the number into tenths. For example, .6 can be written as 0.6, 0.06, or 0.0006.

    Fraction form is a way of writing a rational number as a fraction. In this form, a rational number is written as the numerator (top number) and the denominator (bottom number). For example, .6 can be written as 6/10 or 3/5.

    Percent form is a way of writing a rational number as a percentage. In this form, a rational number is written as a number between 0 and 100, with a percent sign (%) separating the number from the percent symbol. For example, 36% can be written as 36% or 0.36.

    Number Definition and Examples

    A number is a mathematical object that represents a quantity. Numbers can be written as digits or words and can be positive, negative, or zero.

    Examples of numbers include:

    -1
    3
    0
    2
    25
    -456

    A number can also be expressed as a fraction, a decimal, or a percentage.

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