Question

1. arrange the following numbers in increasing order. 0.24 -2\frac{1}{3} -3\frac{1}{8} -\frac{1}{4} -8.02

Explanation:

Step1: Convert mixed - numbers to decimals

$-2\frac{1}{3}=-\frac{7}{3}\approx - 2.33$, $-3\frac{1}{8}=-\frac{25}{8}=-3.125$, $-\frac{1}{4}=-0.25$

Step2: Compare negative numbers

The larger the absolute - value of a negative number, the smaller the number itself. $|-8.02| = 8.02$, $|-3.125| = 3.125$, $|-2.33| = 2.33$, $|-0.25| = 0.25$. So, $-8.02<-3.125<-2.33<-0.25$

Step3: Compare positive and negative numbers

Positive numbers are greater than negative numbers. So, the increasing order is $-8.02<-3\frac{1}{8}<-2\frac{1}{3}<-\frac{1}{4}<0.24$

Answer:

$-8.02,-3\frac{1}{8},-2\frac{1}{3},-\frac{1}{4},0.24$