Table of Contents

## What is the last digit in 11 power 11?

The last two digits in the number is 11. As we know that; As we can clearly see that the last two digits of all these power of 11 are resulting in the second last digit to be the power itself and the last digit is always 1.

## What is the last digit in the expansion of 2457 754?

Last digit in the expansion of \[{(2457)^{754}}\] is same as last digit in the expansion of \[{7^{754}}\] because the unit place of the number \[2457\] is \[7\].

**What is the sum of the digits in 1 11 111 111111111?**

∴ The sum of the digits of N is 45.

**What is the last digit of 2137 754?**

So, the last digit of ${2137^{753}}$ is 7. Therefore, the correct answer is option B.

### How do you find the last digit of a number?

To find last digit of a number, we use modulo operator \%. When modulo divided by 10 returns its last digit. Suppose if n = 1234. then last Digit = n \% 10 => 4. To finding first digit of a number is little expensive than last digit.

### How do you find the last 2 digits of a power?

In general, the last digit of a power in base n n n is its remainder upon division by n n n. For decimal numbers, we compute m o d 10 \\bmod~{10} m o d 1 0 . Finding the last 2 digits of an integer amounts to computing it mod 100 , 100, 1 0 0 , and finding the last n {n} n digits amounts to computation m o d 1 0 n \\bmod~10^{n} m o d 1 0 n .

**How to find the last two digits of 3176 31 76?**

Say we need to find the last two digits of 3176 31 76. The trick to finding the second last digit of any number ending with 1 is the UNIT DIGIT of the product of the unit digit of the power and the ten’s digit of the base. It is clear that the unit digit of the given number is 1 and we have to identify the ten’s place digit of the same.

**Are all the numbers that are divisible by 11 are divisible by 7?**

No, not all the numbers that are divisible by 11 are divisible by 7. For example, the number 121 is divisible by 11, since the difference between the digits at the odd and the even places are 0, whereas it is not divisible by 7. To check that, let us double the unit place digit, which is 1.