Explanation:

When comparing numbers, the number of digits is an important factor. The number of digits in a number tells us how large or small the number is. In this case, we are given that two numbers have a different number of digits.

To understand why the number with the lesser number of digits is smaller, let's consider an example:

Example 1:
Number A: 123
Number B: 4567

In this example, Number A has 3 digits, while Number B has 4 digits. We can observe that Number A is smaller than Number B. This is because the number of digits in a number determines its place value. The more digits a number has, the larger it is.

Place Value:
In our number system, each digit has a place value based on its position. The rightmost digit is in the ones place, the next digit to the left is in the tens place, the next one is in the hundreds place, and so on. The value of each digit is determined by multiplying it with the corresponding place value.

Comparison:
When comparing two numbers, if they have a different number of digits, it means they have different place values. In this case, the number with the lesser number of digits will have a smaller place value in the corresponding place.

For example, let's compare two numbers:

Number A: 123
Number B: 4567

In Number A, the rightmost digit is in the ones place, while in Number B, the rightmost digit is in the thousands place. The thousands place has a larger place value than the ones place. Therefore, even if the digits in the thousands place of Number B are smaller than the digits in Number A, Number B is still larger overall because it has a larger place value.

Therefore, when two numbers have a different number of digits, the number with the lesser number of digits is smaller. This is because the number with fewer digits will have smaller place values in the corresponding places, indicating a smaller overall value.

Answer:
The correct answer is option 'c) Lesser'.