Question

Arrange the following in ascending and descending order with the help of number line:
\[\left( { - 2} \right),{\text{ }}0,{\text{ }}3{\text{ }},\left( { - 5} \right).\]
Ascending order: \[\left( { - 5} \right),{\text{ }}\left( { - 2} \right),0,3\]
Descending order: \[3,{\text{ }}0,{\text{ }}\left( { - 2} \right),{\text{ }}\left( { - 5} \right).\]

Answer 1

Hint: The given question is about to arrange the following numbers or integers in ascending order as well as in descending order with the help of number line. Then we have to check whether the given order of ascending order and descending order is true or false.

Complete step-by-step answer:
In the given question, We had asked to arrange the given 4 integers in ascending order as well as in descending order. Ascending order is the order in which the numbers are arranged in the order of smallest to greatest number while in descending order, the numbers are arranged in the order of greatest to the lowest number.
In the question, we are given \[4\] integers, which are \[\left( { - 2} \right),0,3\] and \[\left( { - 5} \right)\] and we have to arrange these four integers in ascending order as well as in descending order on number.
Firstly we locate these \[4\] integers on number line and we get

Since ascending order is the order of numbers from smallest to greatest .Therefore ascending order is \[\left( { - 5} \right),{\text{ }}\left( { - 2} \right),{\text{ }}0,{\text{ }}3\]
And descending order is the order of numbers from greatest to smallest. Therefore descending order is \[3,{\text{ }}0,{\text{ }}\left( { - 2} \right),{\text{ }}\left( { - 3} \right)\]
As in question, the order of ascending and descending is given which is
Ascending order is \[{\text{ }}\left( { - 5} \right),{\text{ }}\left( { - 2} \right),{\text{ }}0,{\text{ }}3\]
And descending order is \[3,{\text{ }}0,{\text{ }}\left( { - 2} \right),{\text{ }}\left( { - 3} \right)\]
Therefore this order is correct
And hence option \[\left( A \right)\] is correct which is true.

Note: In ascending order as well as in descending order, the number should be taken from smallest to largest and largest to smallest respectively where as zero (which is also included in integer) is also included in the order of ascending and descending.