# 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.

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.

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.

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.

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.