Adding Negative Numbers

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 Negative numbers are the numbers which are less than zero and which can be represented on a number line. On a number line negative number are represented left to 0 like -1, -2, -3, -4, -5, -6… etc.
Negative numbers can be extended endlessly on a number line left to 0, it follows that we can represent each and every negative number by some point on this line.

For instance, starting from 0 and moving to its left, a point after 750 units, represent the integer -750.
Thus each and every integer can be represented by some point on this number line.
 
Examples of negative numbers: -

            -1, -5, -3.8, -8/9, -0.5
 
Comparing the negative numbers: -

Example: - Which number is less than -5.

a)    -1
b)    -2
c)     0
d)    10
e)   -10
 
Solution: -  On a number line, every number left to a particular number will be less than that of a number like …, -10, -9, -8, -7, -6 are less than -5 because all these numbers are left to -5 whereas all the numbers right to -5 will be more than -5. -4, -3, -2, -1, 0, 1, 2, 3… are more than -5.

Clearly we can observe that -1, -2, 0, 10 are right to -5. So -10 is less than -5 because -10 lie to the left of -5 on a number line.
 
Examples of Adding negative numbers: -

Add the following: -

a)    (-1) + (-5) + (-2)
b)    (-3) + (-4)
 
Solution: -

a)    (-1) + (-5) + (-2)= -1-5-2 =-7
b)    (-3) +(-4)= -3-4 -7

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