7.49x50=50x49 is an example of
property of multiplication of whole numbers.
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(1 Point)
Closure
Associative
Commutative
Distributive
Answers
Answer :-
Distributive
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Answer:
Closure property :
5 + 6 = 11
9 + 8 = 17
36 + 0 = 36
9 x 8 = 72
6 x 11 = 66
0 x 84 = 0
From the example we can conclude that when we add or multiply any two whole numbers we get a whole number.
Whole numbers are closed under addition and multiplication.
Note : Division by zero is not defined.
Commutative property for addition and multiplication
You can add whole nos. in any order. We can say that addition is commutative for whole numbers. This property is known as commutativity for addition.
5 + 11 = 11 + 5
16 = 16
You can multiply two whole numbers in any order. Thus we say multiplication is commutative for whole nos.
Multiply 8 and 6 in different orders, you will get the same answer.
8 x 6 = 48
6 x 8 = 48
∴ 8 x 6 = 6 x 8
Note : Subtraction is not commutative. ( 6 – 5 ≠ 5 – 6).
Division is not commutative. ( 4 ÷ 2 ≠ 2 ÷ 4).
Associative of addition and multiplication :
Observe the following examples :
1) (5 + 7 ) + 3 = 12 + 3 = 15
2) 5 + ( 7 + 3) = 5 + 10 = 15
In the 1st , you can add 5 and 7 first and then add 3 to the sum and in 2nd , you can add 7 and 3 first and then add 5 to the sum. The result in both the cases are same.
This property is generally used to do the addition is easy and fast way.
Oberve the following example :
234 + 197 + 203
In the above example, if we add 197 and 203 first then it will be more easier as unit (ones) digit has become zero.
234 + (197 + 203)
= 234 + 400
= 634
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