What is Number Lines?

The visual representation of various types of numbers in straight lines is known as the number line. A number line is written in two forms. They are vertical and horizontal. A number line is used to compare different types of numbers that are plotted on equal intervals. In this article, we shall cover some topics related to the number lines such as steps of drawing a number line and many more.

Number Names

We can represent a number in two ways, by writing the names of the number and the other one by the mathematical way. The number names can be defined as one of the ways of expressing a mathematical number. For example, 1 = One, 5 = Five, 10 = Ten and so on. We shall cover some examples based on the number names in the coming sections.

Steps of Drawing a Number Line

The following points mentioned below signify the steps of plotting a number on the number line.

  • Draw a vertical or horizontal line that has initial and terminal points. A horizontal line is a line that moves from right to left and vice-versa whereas the vertical line is a line that moves from top to bottom or bottom to top.
  • The second step is to choose a scale based on the number mentioned. For instance, if the number given is 5, then you may choose a scale of 1. Similarly, if you need to plot 50, choose a scale of 5, 10, and so on.
  • If you have chosen the scale of 1, then mark intervals such as 0, 1, 2, 3, 4, …
  • Now, locate the given number. You may highlight the point/number using a circle.

Using the above-mentioned steps, you can plot a number on the number line.

Some Examples based on the Number Names

Example 1: Write the number names of the value: 21 + 12 and 12 + 45.

Solution:

Equation 1 = 21 + 12

Equation 2 = 12 + 45

On simplifying the two equations,

Equation 1 = 21 + 12 = 33

Equation 2 = 12 + 45 = 57

Using the number in words 1 to 100 in the chart, 33 in words is written as thirty-three and 57 in words is written as fifty-seven.

Example 2: Find the value of the given equations, 42 + 28 and 5 + 12. Write the resultant values in words.

Solution:

Equation 1 = 42 + 28

Equation 2 = 5 + 12

On simplifying the two equations,

Equation 1 = 42 + 28 = 70

Equation 2 = 5 + 7 = 12

Thus, using the number in words 1 to 100, 70 is written as seventy and 12 is written as twelve in words respectively.

Some Tips and Tricks on Number Line

To recall, a number line is defined as the visual representation of the real numbers on a straight line. The following points are the tips and tricks on a number line.

  1. We can express various types of numbers on a number line depending upon the requirements. For instance, we can represent only positive numbers or the integers between -4 and 2. We can also represent it between two fractions such as -2 and 2.
  2. The number lines can be used in real-life scenarios as well. Number lines are used to read the height or altitude which is shown in a device such as GPS. It is used to measure the height of the sea level.
  3. Always remember that when we move towards the right-hand side of the number line, the number always increases whereas when we move towards the left-hand side, it decreases.

If you want to study number lines and names in a detailed, fun, and interactive manner, visit Cuemath to book a free session. 

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