Question

Write the following in increasing order: \[21, - 8, - 26,85,33, - 333, - 210,0,2011\]

Answer 1

Hint:
Here, we will arrange the given integers such that the starting integer should be the least integer and the integer at the end should be the highest Integer. We will do this by comparing each number to every other number of the given set.

Complete step by step solution:
We are given the Integers \[21, - 8, - 26,85,33, - 333, - 210,0,2011\].
We will count the number of digits while arranging the numbers in their increasing order. The Negative integer should be arranged at first followed by the Positive Integer.
\[ - 333\] is the Least Integer among the given Negative Integers.
\[ - 210\] is greater than the Least Integer \[ - 333\].
\[ - 26\] is greater than the Negative Integer \[ - 210\].
\[ - 8\] is greater than the Negative Integer \[ - 26\].
\[0\] is greater than the Negative Integer \[ - 8\].
21 is greater than the Integer 0.
33 is greater than the Positive Integer 21.
85 is greater than the Positive Integer 33.
2011 is greater than the Positive Integer 85.
Thus, the Increasing Order of the Integers is \[ - 333 < - 210 < - 26 < - 8 < 0 < 21 < 33 < 85 < 2011\] .

Therefore, the Increasing Order of the Integers is \[ - 333, - 210, - 26, - 8,0,21,33,85,2011\]

Note:
We know that Ascending Order is a method of sorting the numbers from the lowest value to the highest Value which is also in the increasing order. We should remember that the highest number with a minus sign is the smallest value in the case of a negative Integer. We can also arrange the numbers based on the number line. When we consider the integers from the right of zero in a number line, then it is said to be in Ascending order and when we consider the integers from the left of zero in a number line, then it is said to be in Descending Order. Also, the integer 0 lies between the negative integer and the positive integer.