How do you write out $11$ ones, $7$ tens and $1$ hundreds?

Hint: We solve the given problem by the help of place value. Place value can be defined as something that describes the position or place of a digit in a number. Each digit has its proper place and number. So, in the given question we multiply the place value by the given number and add them.

Complete step by step answer:
When a number is represented in a general form, the position of each of the digits in the number will be expanded. These positions start from a unit place also known as one's place. After the unit place, there comes tens, hundreds, thousands and so on.
For example: we have the number $2456$
So, the place value of $6$ is $6 \times 1 = 6$ (unit place)
The place value of $5$ is $5 \times 10 = 50$ (tens place)
The place value of $4$ is $4 \times 100 = 400$ (hundred’s place)
The place value of $2$ is $2 \times 1000 = 2000$
On adding these values we will get the number. i.e.,
$ \Rightarrow 2000 + 400 + 50 + 6 = 2456$
Likewise, we write $11$ ones, $7$tens and $1$ hundreds
$11$ ones $ = 1 \times 10 + 1 \times 1$$ = 10 + 1$
$7$ tens $7 \times 10 = 70$
 $1$ hundreds $ = 1 \times 100 = 100$
On adding these values we will get the required number. i.e.,
$ \Rightarrow 10 + 1 + 70 + 100 = 181$
Hence, the number is $181$.

Note: While writing the numbers one must be careful about the place value chart of the Indian numeral system. This system is different from the other numeral system. While we use this system, we count with ones, tens, hundreds, thousands, ten thousands, lakhs and crores.