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Addition of Integers

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notes

Addition of Integers:

a) Positive integer + Positive integer:

When two positive integers are added, we get a positive integer.
(+3) + (+2) = +5 [= 3 + 2]

b) Negative integer + Negative integer:

When two negative integers are added, we get a negative integer.
(-5) + (-3) = - 8

c) Positive integer + Negative integer:

When one positive and one negative integer are added we subtract them as whole numbers by considering the numbers without their sign and then put the sign of the bigger number with the subtraction obtained. The bigger integer is decided by ignoring the signs of the integers.
(+ 5) + (– 8) = (+ 5) + (– 5) + (– 3) = 0 + (– 3) = (– 3).

Example

Find the sum of (- 11) + ( + 4) + (- 9) + (+ 7)

(- 11) + ( + 4) + (- 9) + (+ 7)

= (- 11) + (- 9) + ( + 4) + (+ 7)

= (- 20) + (+ 11)

= - 9.

Example

Add without using number line: (+ 10) + (+ 3) + (- 8) + (- 9).

(+ 10) + (+ 3) + (- 8) + (- 9).

= (+ 13) + (- 17)

= - 4.

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