What least digit should replace * in the number 946238*, so that the number is divisible by 9?

Given:

The number is 946238*, where * represents a missing digit.

Concept Used:

A number is divisible by 9 if the sum of its digits is divisible by 9.

Calculation:

Sum of known digits = 9 + 4 + 6 + 2 + 3 + 8 = 32

Let the missing digit be x. The total sum of the digits is now:

Sum of digits = 32 + x

For the number to be divisible by 9, the sum of the digits must be divisible by 9. So, we need to find the least value of x such that:

(32 + x) is divisible by 9.

Remainder when 32 is divided by 9:

32 ÷ 9 = 3 remainder 5

To make 32 + x divisible by 9, we need to add a number that makes the remainder 0. So, we need to add 4 to 32, because 32 + 4 = 36, which is divisible by 9.

Therefore, the least digit that should replace * is 4.

Hence, the least digit that should replace * is 4.