Question

What is the place value of 0 in 103?

Answer 1

Hint: We solve this question by using the concept of place value. In order to do so, we first need to understand the concept of place value and we do this with a few examples. Then using the concept of place value, we determine the place value of 0 in 103.

Complete step by step answer:
In order to solve this question, let us explain the concept of place value. Any number in mathematics can be represented by the digits in the corresponding places where each place or position carries a fixed value. The representation of places starting from the digit on the right to the digit on the left is given as one place, tens place, hundreds place, thousands place, ten thousands place etc. The value hereafter depends on the Indian or International naming convention.
Let us explain this with an example to make it clearer. Consider a number given as 1234. Here, 4 is in the ones place, 3 is in the tens place, 2 is in the hundreds place, 1 is in the thousands place. Each of these positions have a value associated with them known as place value. The ones place has a value 1, tens place has a value 10, hundreds place has a value 100 and thousands place has a value 1000.
To determine the place value of a digit in a number, we simply multiply this digit with the place value. For example, the place value of 2 in the above example is found to be,
$\Rightarrow 2\times 100=200$
Using this, we shall find the place value of 0 in 103. The digit 0 is in the tens place which means it is to be multiplied by 10 to give its place value.
$\Rightarrow 0\times 10=0$
Hence, the place value of 0 in 103 is 0.

Note: We need to note that the digits beyond the thousands place are different for different naming conventions. It goes as hundred thousands, millions, ten millions, etc in the International naming convention and as lakhs, ten lakhs, crores, etc in the Indian naming convention. However, the value of the place consists of the same number of zeroes or same value in both the systems.