Question

If a and b are whole numbers then a - b is a whole number if a >bor a = D. If a <d, then
a-bis not a whole number.
COMMUTATIVE PROPERTY
Does the operation of subtraction obey the commutative law? Study the following examples.
commute
(1) 28 - 13 = 15. But 13 - 28 is not possible in
whole numbers
Z-
1-3=1
open
different
SO
4-3 = 3 4
Il a and b are two whole numbers, then in general. a - b is not equal to b-a (Fritten as
4-b=b-a)
ASSOCIATIVE PROPERTY
You have seen that addition of whole numbers is associative. Like commutative property, this property also
does not hold for subtraction of whole numbers. Consider the following examples:
0 (8-3)-2
8-(3-2)
(i) (52-17) - 8 = 35 - 8 = 27.
- Associate first
52-(17-8) = 52 - 9 = 43
5 - 2=3
8 - 1 = 7
Thus, (52-17)-8=52-(17-8)
different
- (8-3) 2=-(3-2)
>>>>>>
99 10 11 12 13
If a,b,care whole numbers and e is not equal to 0, then 4-(6-c) is never equal to (a - b)-c.
PROPERTY OF ZERO
IFO is added to any whole numbers then the whole number remains unchanged. Similarly if is subtracted
from any whole number, there is no change in the whole number.
For example: 5-0=5, 27-0=27.
1 2 3
Miauend
Sabtrabend
36 + Remainder
Ir 0 is subtracted from a whole number, then the result is the number itsell.
INVERSE OPERATIONS
The operations of addition and subtraction are inverse of each other. Subtracting 7 from 18 can be considered
Thish when added to 7 gives 18.
11 - 7+ 11 = 18​

Answer 1

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