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THE OTHER SIDE OF ZERO

Integers

The set of numbers which consists of whole numbers and negative numbers are called integers.
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10
Left Side Right Side

Ordering of Integers Absolute Value of Integer

l Every positive integer is greater than 0 and The numerical value of an integer,
every negative integer is less than 0. regardless of its sign, is known as absolute
–2 < –1 < 0 < 1 < 2 value of the integer. E.g., |–5| = 5, |7| = 7
l ‘0’ is neither positive nor negative integer.

Addition and Subtraction of Integers

Addition of Integers Additive Inverse of an Integer Subtraction of Integers
Without Number Line When we add two integers Without Number Line
1. Adding two positive/ with the same numerical value Subtracting two positive
negative integers means but opposite in sign, the sum (negative) integers means to find
adding their absolute is ‘0’. These integers are called the difference between the two
values and putting their additive inverse of each other. numbers, and use the sign of the
common sign. E.g., E.g., 5 + (–5) = 0; 5 and –5 are greater number in front of the
(a) 3 + (+2) = 3 + 2 = 5 additive inverse to each other. result. E.g.,
(b) –5 + (–3) = –5 – 3 = –8 (a) (+7) –(+3) = 4
2. Adding a positive and a
negative integers means (b) (–5) – (–4) = –5 + 4 = –1
getting the difference of (c) (+3) – (–5) = 3 + 5 = 8
their absolute values and (d) (–5) – (+4) = –5 – 4 = –9
putting the sign of integer
with bigger absolute value.
E.g., With Number Line
(a) –4 + (+3) = –4 + 3 = –1 (a) Subtract 8 from 3
(b) 4 + (–3) = 4 – 3 = 1

–6 –5 –4 –3 –2 –1 0 1 2 3 4
With Number Line
(a) 2 + 4 = ? 3 – 8 = –5
(b) Subtract 2 from –2
–1 0 1 2 3 4 5 6 7 8 9
2 + 4 = 6 –6 –5 –4 –3 –2 –1 0 1 2 3 4

(b) 3 + (–7) = ? –2 – 2 = –4

–5 –4 –3 –2 –1 0 1 2 3 4 5
3 + (–7) = –4

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