Question

The smallest 5-digit number is the successor of the largest 4 digit number.
A. True
B. False

Answer 1

Hint:
Here we will find whether the given statement is true or false by finding the relation between the smallest 5-digit number and largest 4-digit number. First, we will write the largest 4-digit number and smallest 5-digit number. Then we will check that when we add 1 to the largest 4-digit number are we getting the smallest 5-digit number. Finally we will get whether our statement is true or false.

Complete step by step solution:
As we know, the greatest 1-digit number is 9 and the smallest 2-digit number is 10.
In similar way if we want to find the largest 4-digit and the smallest 5-digit number it will we,
Greatest 4-digit number \[= 9999\]
Smallest 5-digit number \[= 10000\]
Now, we will check whether we get 10000 by adding 1 to 9999. So,
$9999 + 1 = 10000$
It is clear that the smallest 5-digit number is the successor of the largest 4-digit number that means the statement is true.

Hence, option (A) is correct.

Note:
Digits are used as a symbol to define a number in Mathematics for example, in number 48, 4 and 8 are the digits. The smallest 2 digit number is 10 and greatest 1 digit number is 9. This condition applies to each digit number where if we want the greatest number we just write 9 that much time and if we want the smallest digit number we just write it in power of 10 depending on what is asked.