The unit digit of 3127173 is the unit digit of 7173. The other digits of 3127 are multiples of 10 and so they cannot contribute to the unit digit. Now the unit digits of the powers of 7 are Power -- Unit digit 0 -- 1 1 -- 7 2 -- 9 3 -- 3 4 -- 1 and you are back into the loop (of 1-7-9-3). So, you only need consider 7 to the power 173 modulo 4. That is, the remainder when 173 is divided by 4. 173 = 1 mod 4 So the unit digit of 3127173 is the same as the unit digit of 7173 which is the unit digit of 71 which is 7.
2
'5' is the UNIT digit. '6' is the 'tenths' digit. '9' is the 'hundredths' digit.
As 3844 ends in 4, its square root (if a whole number) will end in 2 or 8. √3844 = 62 so the unit digit is 2.
Ah, what a happy little question! When we have 2 raised to the power of 1997, we find that the last digit is 6. Isn't that just a lovely little detail to discover? Just like adding a touch of paint to a canvas, mathematics can reveal beauty in unexpected places.
The unit's digit in the expansion of 2 raised to the 725th power is 8. This can be determined by using the concept of the "unit's digit law". This law states that the units digit of a number raised to any power is the same as the units digit of the number itself. In this case, the number is 2, which has a units digit of 2, so the units digit of 2 to the 725th power is also 2. However, this is not the final answer. To get the unit's digit of 2 to the 725th power, we must use the "repeating pattern law". This law states that when a number is raised to any power, the unit's digit will follow a repeating pattern. For 2, this pattern is 8, 4, 2, 6. This means that the units digit of 2 to any power will follow this pattern, repeating every 4 powers. So, if we look at the 725th power of 2, we can see that it is in the 4th cycle of this repeating pattern. This means that the units digit of 2 to the 725th power is 8.
It is 6.
The unit digit of 3127173 is the unit digit of 7173. The other digits of 3127 are multiples of 10 and so they cannot contribute to the unit digit. Now the unit digits of the powers of 7 are Power -- Unit digit 0 -- 1 1 -- 7 2 -- 9 3 -- 3 4 -- 1 and you are back into the loop (of 1-7-9-3). So, you only need consider 7 to the power 173 modulo 4. That is, the remainder when 173 is divided by 4. 173 = 1 mod 4 So the unit digit of 3127173 is the same as the unit digit of 7173 which is the unit digit of 71 which is 7.
2
'5' is the UNIT digit. '6' is the 'tenths' digit. '9' is the 'hundredths' digit.
2
Here's an example. In the number 382, the number 2 is the "unit's digit" (in the "unit's place"), 8 is the "ten's digit" (in the "ten's place"), and 3 is the "hundred's digit."
97.
Ten.
The unit's digit is 0. That is true for the product of the first n primes provided n>2.The unit's digit is 0. That is true for the product of the first n primes provided n>2.The unit's digit is 0. That is true for the product of the first n primes provided n>2.The unit's digit is 0. That is true for the product of the first n primes provided n>2.
As 3844 ends in 4, its square root (if a whole number) will end in 2 or 8. √3844 = 62 so the unit digit is 2.
Ah, what a happy little question! When we have 2 raised to the power of 1997, we find that the last digit is 6. Isn't that just a lovely little detail to discover? Just like adding a touch of paint to a canvas, mathematics can reveal beauty in unexpected places.