Question

2. Compare the properties of Rational
numbers
of Addition, Subtraction,
Multiplication and Division with
examples.
​

Answer 1

Step-by-step explanation:

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Addition and multiplication are associative for rational numbers.

Subtraction and division are not associative for rational numbers.

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Answer 2

Given : rational numbers

To find  : compare the properties of rational numbers in in addition subtraction multiplication and division with examples​

Solution:

Addition of 2 rational numbers is a rational number

1/2  + 1/3  =  5/6

Subtraction of 2 rational numbers is a rational number

1/2  - 1/3  = 1/6

multiplication of 2 rational numbers is a rational number

(1/2) * (1/3)  = 1/6

Division  of 2 rational numbers is a rational number  

Except in the case when divisor = 0

(1/2) ÷ (1/3)  =    3/2

(1/2)  ÷ 0 =  ∞

0  ÷ 0 = undefined

Addition and Multiplication follows commutative and associative property

but Subtraction and Division does not follow

1 + 2 = 2 + 1  = 3    while  1  - 2  ≠ 2 -  1

1  * 2  = 2 * 1  = 2      while    1 /2  ≠  2/1

(1 + 2) + 3 = 1 + (2 + 3)  = 6        (1 - 2) - 3 ≠  1 - ( 2 - 3)

(1 * 2 ) *  3 = 1  * (2  * 3) = 6       (1 ÷ 2) ÷ 3 ≠ 1  ÷ ( 2 ÷ 3)

Learn More:

write a rational number which does not lie between the rational ...

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3/7 line between (a) 4/9,5/9

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