Question

Is -3.48 a rational number

Answer 1

A rational number is a number which can be expressed as a fraction whose numerator and denominator are both integers and whose denominator is not equal to zero. Rational numbers include all integers, fractions, mixed numbers, and some decimal numbers.

 

Note : All terminating and repeating decimal numbers are rational numbers because those numbers can be expressed as a fraction. On the other hand, a non repeating number and non terminating decimal, like square root of 2, is an irrational number.  

$Convert \ -3.48 \ into \ a \ fraction$ 

$-3.48 = \dfrac{-3.48}{1}$   $Convert \ to \ fraction$ 

Multiply by 1 to eliminate two decimal places. 

$Numerator = -3.48 * 10 * 10 = -348 Denominator = 1 *10 * 10 = 100$ 

$Our \ new \ fraction \ is \ \dfrac{-348}{100}$ 

$The \ value \ is \ 0.034800000000000005$

$= Given \ value \ is \ Rational.$