Question

18. Write 1 /11 in decimal form and say what kind of Decimal
expansion ?

Answer 1

Answer;

0.999....

we call it non recurring terminating decimals.

Step-by-step explanation:

$11) {\overline{ \: \: \: \: \: 1 \: 00 \: \: \: }}(0.9 9.....\\ - 99 \\ {\overline{100}} \\ - 99 \\ \overline{100}$

As we can see above that the division is going on without any end.

• These kind of decimals are called repeating and recurring decimals.

• Also, as it never ends we call it non recurring and terminating decimals.

Here, a question arises. Is that number a rational number?

Ans: Yes, it's a rational number as it has been represented in p/q form. That is: 1/11.

• A number system comprises of :

- Natural Numbers: 1,2,3,4,5,6...

- Whole Numbers: 0,1,2,3,4,5,6...

- Integers: .....-5,-4,-3,-2,-1,0,1,2,3,4,5..

- Rational Numbers: 1/2, 1/3, 1/4....

- Irrational Numbers: 2^1/2 , 22/7 etc

- Real numbers: All rational + Ittational numbers