Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
Advertisement Remove all ads

Express the following decimal expression into rational number 2.327¯ - Mathematics

Sum

Express the following decimal expression into rational number

`2. bar(327)`

Advertisement Remove all ads

Solution

Let x = 2.327327327……  ...(1)

(Here period of decimal is 3, multiply equation (1) by 1000)

1000x = 2327.327……  ...(2)

(2) – (1)

1000x – x = 2327.327327… – 2.327327….

999x = 2325

x = `2325/999`

Concept: Period of Decimal
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 2 Real Numbers
Exercise 2.2 | Q 4. (ii) | Page 52
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×