Final answer:
The value of the expression is 222.
Step-by-step explanation:
The value of the expression 111111111111111111111111111111111111111111111111 is 222.
To determine the value, we need to look at the digits in the number. Each digit represents a power of 10, starting from the right. The rightmost digit is in the ones place, the next digit to the left is in the tens place, the next digit is in the hundreds place, and so on.
In this case, each digit is 1, so each digit contributes 1 x 10^n to the value of the number, where n is the position of the digit. Since all the digits are 1, the value is 1 x 10^0 + 1 x 10^1 + 1 x 10^2 + ... + 1 x 10^40. Simplifying this, we get 1 + 10 + 100 + ... + 10000000000000000000000000000000000000000 = 222.