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azamat
3 years ago
8

Insert two rational number between 1.3 bar and 1.4 bar​

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0

<u>General method</u><u>:</u>

Given numbers are 1.3 bar and 1.4 bar

  • 1.3 bar = 1.333...
  • 1.4 bar = 1.444...

Two rational numbers between them

= 1.3222... and 1.43333...

<u>Mean Method</u><u>:</u>

Let X = 1.333... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.333...×10

⇛10X = 13.333... → → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 13.333...

X = 1.333...

(-)

____________

9X = 12.000...

____________

⇛9X = 12

⇛X = 12/9

⇛X = 4/3

and

Let X = 1.444... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.444...×10

⇛10X = 14.444...→ → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 14.444...

X = 1.444...

(-)

____________

9X = 13.000...

____________

⇛9X = 13

⇛X = 13/9

Now we have 12/9 and 13/9

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

⇛{(12/9)+(13/9)}/2

⇛(25/9)/2

⇛25/18

and Second rational number

⇛{(12/9)+(25/18)}/2

⇛{(24+25)/18}/2

⇛(49/18)/2

⇛49/36

<u>Answer</u><u>:</u> The two rational numbers between them are 25/18 and 49/36.

<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?

brainly.com/question/85169?referrer

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