Express the following in the form p/q , where p and q are integers and q ≠ 0 : 0.888
Solution:
Given, the number is 0.888
We have to express the number in p/q form.
A recurring decimal is a decimal representation of a number whose digits are repeating its values at regular intervals.
The infinitely repeated portion is not zero.
Let x = 0.888 -------- (1)
Multiplying by 10 both sides,
10x = 10(0.888)
10x = 8.88 --------- (2)
On subtracting (1) and (2),
10x - x = 8.888 - 0.888
9x = 8.0000
x = 8.0000/9
Therefore, x = 8/9
✦ Try This: Express 0.666 in the form p/q
Given, the number is 0.666
We have to express the number in p/q form.
A recurring decimal is a decimal representation of a number whose digits are repeating its values at regular intervals.
The infinitely repeated portion is not zero.
Let x = 0.666 -------- (1)
Multiplying by 10 both sides,
10x = 10(0.666)
10x = 6.666 --------- (2)
On subtracting (1) and (2),
10x - x = 6.666 - 0.666
9x = 6.0000
x = 6/9
Therefore, x = 2/3
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1
NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 7(ii)
Express the following in the form p/q , where p and q are integers and q ≠ 0 : 0.888
Summary:
p/q form of the number 0.888 is 8/9, where p and q are integers and q ≠ 0
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