Question

How do you rearrange these numbers from least to greatest: $0.5,\, - 0.75,\,\,\left| { - 6} \right|,\, - 3.25$ ?

Answer 1

To solve these problems we should know how to arrange numbers from least to greatest.
The number which is smallest in magnitude will be placed at first.
Modulus: It is a function in mathematics. The output of this function will always be a non-negative number no matter whatever is input. If we put a negative number in it then the output will be a positive number of the same magnitude.

Complete step by step solution:
As given series of number in question $0.5,\, - 0.75,\,\,\left| { - 6} \right|,\, - 3.25$ .
We have to arrange it from least to greatest number.
We try to solve any function given in the set. We find only one module function is there. So, we solve it and series will change into $0.5,\, - 0.75,\,6,\, - 3.25$
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 $- 3.25$ is the smallest number in the series and after that a negative number $- 0.75$ will lie on the number line. After that a positive decimal number will be smaller than the given integer value. In the number line $0.5$ fall before $6$ .
Hence, We can conclude from above solution the series from least to greatest is $- 3.25, - 0.75,0.5,\left| { - 6} \right|$ .

Note: Modulus is a basic function of mathematics and is also called an absolute value function. The use of arranging values in increasing or decreasing order is to find the median of that number which tells about the central tendency of a given series. Mean tells best about the central tendency of a given series instead of median or mode.