Question

How do you order these numbers from least to greatest: $ - 2,0.75,\dfrac{1}{4}, - \dfrac{3}{2}$ ?

Answer 1

Hint: To solve this problem we should know how to arrange numbers from least to greatest.The number which is smallest in magnitude will be placed at first. Fraction numbers are always less than one. We can find fraction numbers by dividing numerator by denominator.

Complete step by step answer:
As given, the series of numbers in question $ - 2,0.75,\dfrac{1}{4}, - \dfrac{3}{2}$ .
We have to arrange it from least to greatest number.
We try to solve any function given in the set. We have to find a fraction.
 $\dfrac{1}{4} = 0.25$
And $ - \dfrac{3}{2} = - 1.5$
So, we solve it and series will change into $ - 2,0.75,0.25, - 1.5$
As we know, whenever the term is a negative number then the higher the magnitude, the lower the number in the number line will fall.
We get $ - 2$ is the smallest number in the series and after that a negative number $ - 1.5$ will lie on the number line. After that a positive decimal number will be smaller than the given integer value. In the number line $0.25$ fall before $0.75$ .
Hence, We can conclude from the above solution the series from least to greatest is \[ - 2, - \dfrac{3}{2},\dfrac{1}{4},0.75\] .

Note: Descending order is the contradiction of ascending order. That means it is the opposite process of writing the numbers in increasing order. Therefore, it can be mentioned as a decreasing order. In the case of descending order, for a given set of numbers, the highest valued number is written first, and the lowest valued number is written at last. It is denoted by the symbol $' > '$ .