Question

convert the following number International number PQ form 0.037 bar 0.12 36 bar​

Answer 1

Step-by-step explanation:

0.037 bar =>>x=0.037bar

1000x=37.037037037>>1

x=0.037037037>>2

1-2=>>

999x=37

x=37/999

0.12 36bar =>>x=0.12 36bar

100x=12.36363636=>>1

x=0.12363636=>>2

1-2=>>

99x=12.24

x=1224/9900

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Answer 2

CORRECT QUESTION

convert the following number International number in P/Q form - (1) ̅̅0.0̅3̅7̅ (2) 0.1̅2̅3̅6̅

ANSWER

0.0̅3̅7̅ = 37/999

0.1̅2̅3̅6̅ = 1236/9999

GIVEN

Nunmbers - 0.0̅3̅7̅ and 0.1̅2̅3̅6̅

TO FIND

To convert the given numbers in P/Q form.

SOLUTION

We can simply solve the above problem as follows-

(1) 0.0̅3̅7̅

We know that, over-bar is used to denote the recurring number in a decimal.

So,

We can also write 0.0̅3̅7̅ as 0.037037037.....

Let,

Q = 0.037... (equation 1)

(Equation 1 )× 1000

1000Q = 37.037 (equation 2)

(equation 2) - (equation 1)

(1000-1)Q = 37

999Q = 37

Q = 37/999

(2) 0.1̅2̅3̅6̅

Let ,

Q = 0.12361261236.... (equation 1)

Multiplying (equation1) by 10000

10000Q = 1236.1236... (Equation 2)

Substracting (equation 1) from (equation 2)

(10000-1)Q = 1236.1236-0.1236

9999Q = 1236

Q = 1236/9999

Hence,

0.0̅3̅7̅ = 37/999

0.1̅2̅3̅6̅ = 1236/9999

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