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Answers
Step-by-step explanation:
5.
Option (A)
Whole numbers are commutative over Subtraction is a wrong statement.
Consider any two whole numbers 3 and 5
5-3 = 2 is a whole number
3-5 = -2 is not a whole number
=> 5-3 ≠ 3-5
Commutative property under subtraction does not hold in whole numbers .
6)
Option (C)
Distributive Property is used for solving 106×15
=> 106×15
=> (100+6)×15
By distributive Property
=> (100×16)+(6×15)
=> 1600+90
=> 1690
Answer :-
5) Option (A)
6) Option ( C)
Used formulae:-
Commutative property :-
if a and b any two whole numbers then a+b = b+a is called Commutative property under addition in whole numbers.
Distributive Property :-
If a ,b and c are any three whole numbers then a×(b+c) = (a×b)+(a×c) is called distributive Property under multiplication over addition in whole numbers.
Points to know :-
- 0 is the additive identity element in whole numbers.
Closed Property :-
If a and b are two whole numbers then a+b is also a whole number .This Property is called Closure law or closed property under addition and a×b is a whole number is called Closed property under Multiplication.
Associative Property:-
If a ,b and c are three whole numbers then (a+b)+c = a+(b+c) is called Associative Property under addition and
(a×b)×c = a×(b×c) is called Associative Property under multiplication.