Question

What is the value of 3 in 20,320 ?

Answer 1

Hint: We are required to calculate the place value for the above question. Place value can be defined as the value of the digit due to its position in the number. We check for the place in which the number 3 lies in and write its corresponding value due to its place.

Complete step-by-step solution:
In order to solve this question, let us first explain what place value is. It is defined as the value of the digit due to its position in the number. Let us take an example to explain this concept. Consider the number 3,456. Here, we can see that there are 4 digits and each digit has some value depending on its position in the number. The least place is called the ones place and the number 6 is in the ones place for the given example. Similarly, the next higher digit is called the tens place and it is occupied by the digit 5. The next higher digit is called hundreds place and it is occupied by 4 here. The next higher digit is represented as thousands and is given by 3 in this example. The place value for any digit can be represented as the value at that position or place multiplied by the digit at that place. For example, the value of 5 in the number 3,456 is 5 tens or 5 multiplied by 10. This means that the place value of 5 is 50 in the given number.
For the given question, we are required to find the value of 3 in the number 20,320. The positions starting from the units place can be given by ones, tens, hundreds, thousands, ten-thousands, lakhs, etc. The above example has 3 in the hundreds place. Therefore, the value is given by
$\Rightarrow 3\times 100=300$
Hence, the value of 3 in 20,320 is 300.

Note: We need to know the concepts of place value and face value which forms the basis for numbers in mathematics. Face value is similar to place value except that it does not specify the value of the digit at that place. Instead, it just specifies the digit itself. For the above question, face value is just 3.