Addition of Integers

We will learn addition of integers using number line.

We know that counting forward means addition.

Addition of Two Positive Integers:

When we add positive integers, we move to the right on the number line.

For example to add +2 and +4 we move 4 steps to the right of +2.

$Addition on Number Line$

Thus, +2 +4 = +6.

Addition of Two Negative Integers:

When we add two negative integers, we move to the left on the number line.

For example to add -2 and -4 we move 4 steps to the left of -2.

$Integer Addition on Number Line$

Thus, -2 + (-4) = -6.

Addition of a Negative Integer and a Positive Integer:

When a negative integer is added to a positive integer we move to the left on the number line.

For example to add +2 + (-4), we move 4 steps to the left of +2.

$Adding Integers on Number Line$

Thus, +2 + (-4) = -2.

Addition of a Positive Integer and a Negative Integer:

When a positive integer is added to a negative integer we move to the right on the number line.

For example to add (-6) + 3, we move 3 steps to the right of -6.

$Addition of Integers$

Thus, (-6) + 3 = -3.

We can add two integers having same sings by adding their absolute values and placing the common sign of two integers before it.

Solved Examples on Addition of Integers:

1. Find the value +18 + (+5)

Solution:

Absolute value of |+18| = 18

Absolute value of |+5| = 5

Sum of absolute values = 18 + 5

Since, both integers have common sign +, we place + sign in the answer.

Hence, +18 + (+5) = +23.

We can add two integers having opposite signs by finding difference of their absolute values and placing the sign of the integer with the greater absolute value before it.

2. Find the value -38 + (+28)

Solution:

Absolute value of |-38| = 38

Absolute value of |+28| = 28

Difference of absolute values = 38 – 28 = 10

Placing the sign of the integer with the greater absolute value = -10

Hence, -38 + (+28) = -10.

You might like these

5th Grade Integers Worksheet | Addition and Subtraction of Integers

In 5th Grade Integers Worksheet we will solve how to show the given integers on the number line, addition and subtraction of integers using number line, comparison of integers, absolute value of an integer, true or false statements of integers and word problems on integers.
Worksheet on Addition and Subtraction using Number Line |Exact Answers

Practice the questions given in the worksheet on addition and subtraction using number line. We know, adding a negative number means moving to the left-side on the number line and adding a positive number means moving to the right-side on the number line.
Subtraction of Integers | Subtracting Integers on a Number Line

We will learn subtraction of integers using number line. We know that subtraction is the inverse of addition. Therefore, to subtract an integer, we add its additive inverse. For example, to find +5 – (+3), we add +5 + (-3). So, on the number line, we move to the left of +5
Worksheet on Comparison of Integers | Ordering Integers | Number Line

I. Compare the given numbers and put the right sign >, < or =. You may think of a number line when considering the answers:
Comparison of Integers |Positive & Negative Integers|Greatest Integer

When we represent integers on the number line, we observe that the value of the number increases as we move towards right and decreases as we move towards left. The whole numbers are on the right side of the 0 and in the left side of the 0 there are negative numbers.
Worksheet on Absolute Value of an Integer | Numerical Value | Answers

Practice the questions given in the worksheet on absolute value of an integer. We know that, the absolute value of an integer is its numerical value without taking the sign into consideration. I. Write the absolute value of each of the following: (i) 15 (ii) -24 (iii) -375
Absolute Value of an Integer | Absolute Value | Solved Examples

Absolute value of an integer is its numerical value without taking the sign into consideration. The absolute values of -9 = 9; the absolute value of 5 = 5 and so on. The symbol used to denote the absolute value is, two vertical lines (| |), one on either side of an integer.
Worksheet on Integers and the Number Line|Integers using a Number Line

Practice the questions given in the worksheet on integers and the number line. The questions are based on integers and how to find the integers using a number line. I. Using the following number line, fill in the blanks:
What are integers? | Negative and Positive Integers | Natural Numbers

What are integers? The negative numbers, zero and the natural numbers together are called integers. A collection of numbers which is written as... -4, -3, -2, -1, 0, 1, 2, 3, 4.. . These numbers