Question

Write the expanded form of a number:
4348

Answer 1

Hint: In this question, we need to write the face value and place value of each of the digits in the given number. Now, in any number the digit at the right most 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 the digit 8 it is in the one's place so its place value is given by \[8\times 1\]. Now, in the similar way 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 solution:
FACE VALUE AND PLACE VALUE OF THE DIGITS:
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, place next to ten's place is hundred's place and the place next to it is thousand's place and so on.
Now, for example from the given number in the question 4348
8 is in one's place, 3 is in hundred's place etc.
Now, the given number in the question is
4348
Now, let us write the place value and face value of each of the digits in the given number
Now, let us consider the digit present in the one's place
Face value of digit present in the one's place is 8
Place value of the digit present in the one's place is \[8\times 1\]
Now, let us consider the digit present in the ten's place
Face value of digit present in the ten's place is 4
Place value of the digit present in the one's place is \[4\times 10\]
Now, let us consider the digit present in the hundred's place
Face value of digit present in the ten's place is 3
Place value of the digit present in the one's place is \[3\times 100\]
Now, let us consider the digit present in the thousand's place
Face value of digit present in the ten's place is 4
Place value of the digit present in the one's place is \[4\times 1000\]
Now, we get the expanded form of the given number by adding all the place values of the digits.
\[\Rightarrow 4348=4\times 1000+3\times 100+4\times 10+8\times 1\]
Hence, the expanded form the number 4348 is \[4\times 1000+3\times 100+4\times 10+8\times 1\]

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.