Question

Write the given number in expanded form: 74836.

Answer 1

Hint: In this question, we need to write the face value and place the value of each of the digits in the given number. Now, in any number, the digit at the rightmost is said to be in one’s place and the digit before the one’s place is said to be in ten’s place, and so on. Here, for suppose if we consider digit 8 it is in one's place so its place value is given by $8 \times 1$. Now, similarly, we get the place values of the other digits. Then add all the place values including face value to write it in the expanded form.

Complete step-by-step answer:
In a numeral, the face value of the digit is the value.
In a numerical, the place value of a digit changes according to the change of its place.
In general, the first place from the right is called one's place, the place next to one's place is called ten's place, the place next to ten's place is a hundred's place and the place next to it is thousand's place and so on.
Now, for example, the number 4348
8 is in one's place, 3 is in a hundred's place, etc.
Now, the given number is 74836.
Now, let us write the place value and face value of each of the digits in the given number
Let us consider the digit present in one's place.
The face value of the digit present in one's place is 6.
Place value of the digit present in the one's place is,
$ \Rightarrow 6 \times 1$
Let us consider the digit present in the ten's place.
The face value of the digit present in the ten's place is 3.
Place value of the digit present in the ten's place is,
$ \Rightarrow 3 \times 10$
Let us consider the digit present in the hundred's place.
The face value of the digit present in the hundred's place is 8.
Place value of the digit present in the hundred places is,
$ \Rightarrow 8 \times 100$
Let us consider the digit present in the thousand's place.
The face value of the digit present in the thousand's place is 4.
Place value of the digit present in the thousand's place is,
$ \Rightarrow 4 \times 1000$
Let us consider the digit present in the ten thousand's place.
The face value of the digit present in the ten thousand's place is 7.
Place value of the digit present in the ten thousand's place is,
$ \Rightarrow 7 \times 10000$
Now, we get the expanded form of the given number by adding all the place values of the digits.
$\therefore 74836 = 7 \times 10000 + 4 \times 1000 + 8 \times 100 + 3 \times 10 + 6$

Hence, the expanded form of 74836 is $74836 = 7 \times 10000 + 4 \times 1000 + 8 \times 100 + 3\times 10 + 6$.

Note: Instead of adding the place values of each digit if we add the face values then we get another number but not the expanded form of the given number.
It is important to note that if we change the place of any of the digits then its place value changes accordingly and so the complete number.
It is also to be noted that multiplying the face value with the value of the place where the digit is present gives the place value.