Basic Number Systems

Find a rational number between $1.3$ and $1.4$

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.

Express $\frac{5}{48}$ in decimal form.

Simplify: $3\frac{1}{4}-\left(7\frac{3}{4}-1\frac{1}{2}\right)÷1\frac{1}{4}$

Write whether the following statement is true or false. Give reasons:

Every natural number is a whole number.

Express $3.05$ as a fraction in simplest form.

Find the value of $x: x^2=7744$.

Find the value of $x: x^2=2304$.

Find the value of $x: x^2=225$.