Question

Represent \[\sqrt{10.5}\] on the number line.

Answer 1

Hint: a number line can be defined as a straight with numbers placed at equal or segments along its length. To represent the given number we have to find the exact value and check whether it is positive or negative and plot the number.

Complete step-by-step answer:
In math, a number line can be defined as a straight with numbers placed at equal or segments along its length.
A number line can be extended infinitely in any direction and is usually represented horizontally.
A number line can also be used to represent both positive and negative integers as well.
Writing numbers on a number line makes comparing numbers easier. Numbers on the left are smaller than the numbers on the right of the number line.
A number line can also be used to carry out addition, subtraction and multiplication. We always move right to, move left to and skip count to.
Given number is \[\sqrt{10.5}\]
The value of this number =3.24
As the number is positive we have to represent it right side of zero.

From the above document, the plot for the line shown.

Note: To represent the given number we have to find the exact value and check whether it is positive or negative and plot the number. The dot above represents the value. Care should be taken as there are many small numbers in between 3 and 3.5.