Question

Arrange the following integers in ascending order.
- 8, - 4, 0, - 11, 9.6, 13, - 27, 19

Answer 1

Hint: We will be using the concepts of the number system to solve the problem. We will also be using the concept of ascending order and descending order to sort the number given to us in the ascending order. We will use the fact that negative numbers are less than the positive numbers and in negative numbers also the number which is greater in magnitude is less than the smaller one.

Complete step-by-step answer:
Ascending order: Numbers are said to be in ascending order when they are arranged from the smallest to the largest number.
Descending order:Numbers are said to be in descending order when they are arranged from the largest to the smallest number.
Now using definition, we have to arrange the numbers - 8, - 4, 0, - 11, 9.6, 13, - 27, 19 in ascending order.
Now, we know that the negative integers are always less than that of non- negative integers. So, we will first arrange them in ascending order.
Now, we know that in negative numbers the number which is larger in magnitude is smaller. For example: -3 < -2.
Now, we have the negative numbers as – 8, - 4, - 11, - 27. So, these numbers in ascending will be,
$-27 < -11 < -8 < -4$
Now, we will arrange the non – negative integers in ascending order. So, we have the non – negative integers are 0, 9.6, 13, 19.
Now, we will arrange them in ascending order by seeing which number is less than others which we can do by differentiating numbers on the basis of digits and if the number has the same digits then we can compare the digit of the number from the left side. So, by doing this we have,
$0 < 9.6 < 13 < 19$
Now, we have the numbers in ascending orders as,
$-27 < -11 < -8 < -4 < 0 < 9.6 < 13 < 19$

Note: To solve these types of questions one must know the concept of ascending order which means arranging the numbers from smallest to largest. Also it is important to note that we have all the numbers as integers except 9.6 which is a rational number.