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1. Number System
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Q7 of 131 Page 1

Express in the form of .


Let …… (1)


As there is one digit after decimal which does not have a bar,


So, we multiply (1) by 10 on both sides to get,




…. (i)


Let


Now, … (1)


As decimal is after two digits,


Multiplying both sides of equation (1) by 100, we get,


100y = 15.1515… (2)


Subtracting equation (1) by (2)


100y – y = 15.1515….– 0.1515….


99y = 15



Put this value in (i) to get,







More from this chapter

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5

Express 0.3 in the form of .

6

Express in the form of .

8

State whether following numbers are rational or irrational.

(i)


(ii)

9

In the following equations, find which variables x, z which represent rational or irrational numbers.

(i) z2 = 0.04


(ii) x2 = 5

Questions · 131
1. Number System
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