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Numbers | Closed Under | |||
---|---|---|---|---|
Addition | Subtraction | Multiplication | Division | |
Rational Numbers | Yes | Yes | No | |
Integers | Yes | No | ||
Whole Numbers | Yes | |||
Natural Numbers | No |
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Complete the following table.Numbers | Commutative For | |||
---|---|---|---|---|
Addition | Subtraction | Multiplication | Division | |
Rational Numbers | Yes | |||
Integers | No | |||
Whole Numbers | Yes | |||
Natural Numbers | No |
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Complete the following table.Numbers | Associative For | |||
---|---|---|---|---|
Addition | Subtraction | Multiplication | Division | |
Rational Numbers | No | |||
Integers | Yes | |||
Whole Numbers | Yes | |||
Natural Numbers | No |
Try These
Find using distributivity.(i)
To solve this using distributive property,we can factor out the common term 7 5 .
As 7 5 x − 3 12 + 7 5 x 5 12 = 7 5 x − 3 12 + 5 12 .
First,Lets simplify the expression inside the parentheses.
Now,Multiply the common factor 7 5 by the result : 7 5 x 1 6 = 7 30 .
So, the result of distributive property = 7 30 .
(ii)
To solve this using Distributive property.lets proceed step by step.
1. 9 16 x 4 12 : 4 12 = / .
Now, calculate 9 16 x 1 3 = 9 48 = / .
2.9 16 x − 3 9 : − 3 9 = -( / ).
Now, calculate 9 16 x − 1 3 = − 9 48 = -( / ).
Now,Add the results from step1 and step2.
= 3/16 + (- 3/16) = .
Therefore the value is 0.