Subscribe to our YouTube channel for the latest videos, updates, and tips.


Addition of Numbers using Number Line

Addition of numbers using number line will help us to learn how a number line can be used for addition.

Addition of numbers can be well understood with the help of the number line. Keep in mind the following rules of movements on the number line.

(i) In order to add a positive number, we move the same number of steps to the right on the number line as the value of the number.

(ii) In order to add a negative number, we move the same number of steps to the left on the number line as the value of the number.


Addition of numbers using number line in different situation:

1. Addition of a positive number to a positive number,

For example: (+2) + (+3)

Addition of Numbers using Number Line

First of all, for +2, count 2 units to the right of zero (because right side is for the positive sign). Then for +3 move three units to the right of +2. Thus, we reach at +5.

Therefore, (+2) + (+3) = +5 or simply we can write, 5.

 

2. Addition of a positive number to a negative number,

For example: (+3) + (-4).

Addition of a Positive Number to a Negative Number using Number Line

For +3, move 3 units to the right of zero and then for -4, move 4 units to the left of 3.

Thus, we reach at -1.

Therefore (+3) + (-4) = -1.

 

3. Addition of a negative number to a positive number,

For example: (-4) + (+3)

Addition of a Negative Number to a Positive Number using Number Line

For -4, move 4 units to the left of zero and then for +3, move 3 units to the right of -4.

Thus, we reach at -1.

 Therefore (-4) + (+3) = -1.

 

4. Addition of a negative number to a negative number,

For example: (-2) + (-4)

Addition of a Negative Number to a Negative Number using Number Line

For -2, start from zero and move two units to the left and then again for -4, move 4 units to the left of -2. Thus, we reach at -6.

Therefore (-2) + (-4) = -6.

Addition of Whole Numbers on Number Line

We already known that addition means putting things together. 

Addition of whole numbers can be shown on a number line.

1. Let us see the addition of 3 and 4.

Addition on Number Line 3 and 4

The point at the tip of the leftmost arrow is 3. Start from 3. Since we add 4 to this number, we make 4 jumps to the right ie.. from 3 to 4, 4 to 5, 5 to 6 and 6 to 7 as shown above the tip of the rightmost arrow in the fourth jump is at 7.

Hence, sum of 3 and 4 is 7 i.c., 3 + 4 = 7.


2. Using the number line, write the whole number which is the sum of 5 and 4.

The point at the tip of the leftmost arrow is 5.

To find the sum of 5 and 4, start from 5 and proceed 4 units to the right to obtain the required result, i.e., 9, as shown in the following figure.

Addition on Number Line 5 and 4

Hence, 5 + 4 = 9


3. Let us add 16 and 4 on the number line.

To add 16 and 4 on the number line, we start from 16 and count 4 steps forward.

Addition Using the Number Line

16 + 4 = 20

You might like these



6th Grade Math Practice

From Addition of Numbers using Number Line to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Worksheet on Average | Word Problem on Average | Questions on Average

    May 17, 25 05:37 PM

    In worksheet on average interest we will solve 10 different types of question. Find the average of first 10 prime numbers. The average height of a family of five is 150 cm. If the heights of 4 family

    Read More

  2. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  3. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  4. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More

  5. Worksheet on Rounding Off Number | Rounding off Number | Nearest 10

    May 15, 25 05:12 PM

    In worksheet on rounding off number we will solve 10 different types of problems. 1. Round off to nearest 10 each of the following numbers: (a) 14 (b) 57 (c) 61 (d) 819 (e) 7729 2. Round off to

    Read More