Question

3. Express the following in the form , where p and q are integers and on
(1) 0.6
(ii) 0.47
(iii) 0.001​

Answer 1

Answer:

Step-by-step explanation:

(i) 0.6 = 6/10

(ii) 0.47 = 47/100

(iii) 0.001 = 1/1000

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Answer 2

Answer:

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Secondary School Math 13 points

"Question 3 Express the following in the form p/q, where p and q are integers and q ≠ 0.

(i) 0.6

(ii) 0.47

(iii) 0.001

Class 9 - Math - Number Systems Page 14"

Ask for details Follow Report by BrainlyHelper 16.08.2017

Answers

Hi Friend,

Here is your answer,

1. 0.6

Let us assume that x=0.6= 0.6666............------> (1)

Now, we need to Multiply equation (1) with 10

10x = 10×( 0.666...)

10x=6.666...

Subtracting equation(2) from equation(1)

10x-x=6.6666.... - 0.6666...

9x = 6

x= 9/6 = 2/3

2. 0.47 = 0.4777777----> (1)

Now we need to multiply with equation (1) with 10

10x = 10 × (0.47777)...

10x= 4.7777....

Now we need to subtract equation (2) from equation (1)

10x-x = 4.7777...- 0.47777.....

9x = 4.3000

x= 4.3 /9

Therefore x = 43/90

3) 0.001

Let us assume that x= 0.001 = 0.001001......

Now let us multiply equation with 1000

1000 x = 1000 × ( 0.001001...)

Now we need to subtract (2) equation (1) equation

1000x - x = 1.001001...- 0.001001...

999x = 1

x = 1/999

Hope it helps you!