Question

using mean athermetic method,find four rational numbers between 0 and 3​

Answer 1

Answer:

1.5, 0.75, 2.25, 1.125

Explanation-

0 + 3 / 2 = 1.5

now we have 0, 1.5, 3

so, 0 + 1.5/ 2 = 0.75

and, 1.5 + 3/2 = 2.25

finally, do with 2 other that above...

be careful so ans won't repeat

0.75 + 1.50 / 2 = 1.125

Answer 2

Step-by-step explanation:

Given :-

0 and 3

To find:-

Find four rational numbers between them by Mean method?

Solution:-

Given numbers = 0 and 3

We know that

The rational number between a and b by mean method is (a+b)/2

1)

We have a = 0 and b = 3

First rational number between 0 and 3

= (0+3)/2

= 3/2

2)

We have a = 0 and b = 3/2

The second rational number between 0 and 3/2

= [0+(3/2)]/2

=> (3/2)/2

=> 3/(2×2)

=> 3/4

3)

We have a = 0 and b = 3/4

The third rational number between 0 and 3/4

=>[0+(3/4)]/2

=> (3/4)/2

=> 3/(4×2)

=> 3/8

4)

We have a = 0 and b = 3/8

The fourth rational number between 0 and 3/8

=>[0+(3/8)]/2

=> (3/8)/2

=> 3/(8×2)

=> 3/16

Answer:-

The four rational numbers between 0 and 3 are

3/2, 3/4, 3/8, 3/16

Used Method:-

• Mean method

Used formulae:-

• The rational number between a and b is (a+b)/2

Points to know:-

• There are infinitely number of many rational numbers between two numbers. This property is called Densitive Property.