Basic Number Systems

Notation of integers is

What are Natural Numbers? What is the notation of set of Natural Numbers?

If the sum of two numbers is considered as '$a$' and their product is considered as '$b$', then what will be the sum of their reciprocals?

Digit $1$ is occurring $136$ times on writing all of the page numbers of a book. What will be the number of pages in the book?

Convert ${144}_8$ into the hexadecimal system.

Convert ${300}_{10}$ into the binary system base- 2.

${\left(170\right)}_{10}$ is equivalent to?

Convert the hexadecimal number ${\left(1\mathrm{E}2\right)}_{16}$ to decimal.

What is Number System and its Types?

Classify the following number as rational or irrational:

$\sqrt{441}$

Every irrational number is a real number.

List all the elements of $A$ that are rational numbers.

$A=\left\{-2, 34, \sqrt{2}, \sqrt{9}, \mathrm{\pi }\right\}$

List all the subsets that $7.3$ lies in.

Every whole number is a natural number.

The mixed fraction $1\frac{1}{2}$ is a rational number.

A real number is _____ if it can be written as the ratio $\frac{p}{q}$ of two integers, where $q\ne 0$. $\left(\mathrm{Rational} / \mathrm{Irrational}\right)$

Integers are denoted by_____

Whole numbers are denoted by_____

Natural number is denoted by_____