Question

2 Take
any
two natural numbers
and verify commutative property
sol​

Answer 1

Step-by-step explanation:

Here is the answer.

Examples : 6+4 =4+6

10+5 =5+10

3×11=11×3

12×4=4×12.

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Answer 2

Step-by-step explanation:

1) Commutative property of rational numbers

In addition

p/q+m/n = m/n+p/q

For example=2/3+4/5

LCM of the denominator=15

On converting the rational numbers to equivalent from and then adding,we get

2×5/3×5=10/15 4×3/5×3=12/15

2/3+4/5= 10+12/15 =22/15

Now changing the order of above addition,we have 4/5+2/3

The LCM of the denominator is 15

On converting the rational numbers to equivalent from and then adding,we get

4×3/5×3=12/15. 2×5/3×5=10/15

4/5+2/3=12+10/15=22/15.

From the above example, it is clear that the sum of two rational numbers does not change if we change their order. Thus,the addition of rational number follows the commutative property.

2) Commutative property of rational numbers in Subtraction

Consider the subtraction of 2/4 from 2/3 to verify the property

2/3-2/4= 8/12-6/12=2/12=1/6

Now changing the order of rational numbers,we get 2/4-2/3=6/12-8/12= -2/12= -1/6

Since,1/6 is not equals to-1/6 the subtraction of rational numbers is not commutative.

3) Commutative property of rational numbers in Multiplication

For any two rational numbers a/c and c/d, we have a/b×c/d=c/d×a/b

Consider the following example

5/7×3/6=5×3/7×6=15/42=5/14

and 3/6×5/7=3×5/6×7=15/42=5/14

=5/7×3/6=3/6×5/7

Hence,we see that the result obtained is the same irrespective of the order in which the rational numbers are multiplied,i.e.,the commutative property is satisfied.

4) Commutative property of the rational numbers in Division

For checking this property, we perform the following division

3/9÷8/4=3/9×4/8=1/6

Performing the division in the reverse order,we get 8/4÷3/9=8/4×3/9=6/1=6

Thus,3/9÷8/4is not equals to 8/4÷3/9. Therefore,division of rational numbers is not commutative.