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41. .InQteugaedrrsatic Equations e Leeleaar rnn. P.puunnj ajabb
version: 1.1
The whole numbers 0,1,2,…. together with the negative numbers
-1,-2,-3,…. are called integers.
We can write them as;
. . . , -5, -4, -3 , -2, -1 , 0 , 1 , 2 , 3 , 4 , 5 , . . .
or
0 , ± 1 , ± 2 , ± 3 , ± 4 , . . .
Zero is also an integer but it is neither a positive integer nor a
negative integer.
Integers are also known as directed numbers because
these numbers also represent the direction, as well as
the measurement.
4.2 Ordering of Integers
We can observe that on the number line, the integer that lies to the
left of another integer is always smaller and the integer lies to the
right of the same integer is always greater.
For example, zero lies to the left of all positive integers on the
number line. So, 0 < 1 , 2 , 3 ........ and the integer 0 lies to the right
of all negative integers. So, 0 > -1, -2, -3, …… or we can write the
above statements as: .....…, -3 < -2 < -1 < 0 < +1 < +2 < +3,….
Example 1: Put the appropriate sign > or < between the given pairs.
(i) 0 , 1 (ii) -10 , -15 (iii) -100 , 10
Solution:
(i) 0 , 1
0 < 1 [0 lies to the left of 1 on a number line]
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