Question

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Answer 1

Step-by-step explanation:

(i) 2.327

• Let x = 2.327327327… (1)

Multiply equation (1) by 1000

• 1000x = 2327.327… (2)

eqn. (2) – eqn. (1)

• 1000x – x = 2327.327327.. – 2.327327..
• 999x = 2325
• x = 2325/999

(ii) 3.17

• Let x = 3.1777 … (1)

7 is the second digit after the decimal point, so multiplying equation (1) by 10

• 10x = 31.7777 … (2)

Now , Multiply equation (2) by 10

• 100x = 317.7777.. (3)

(3) – (2)

• 100x – 10x = 317.777.. – 31.777..
• 90x = 286
• x = 286/90
• x = 14345

Answer 2

Step-by-step explanation:

Same as above done

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