What is a unit digit pattern?
When any number is raised to the power n, where n = 1, 2, 3…, its units digit follows a pattern or a cycle. For example, 2 1, 2 2 , 2 3, 2 4… and so on end with 2, 4, 8, 6, 2, 4, 8, 6, 2, 4… In this case the units digit repeats after every 4 powers.
What is the unit digit of 2323 !?
For the numbers ended with 3 we use 4 pattern ,i.e for 23^23^23 divide the last power by 4 and find out the remainder ,if the reminder is 3 we get 7 in unit place (23^23^3 = 23^xxxx7) again divide the power by 4 we got 3 in unit place in the reminder (23^xxx3 = xxxx7) so 7 is the digit in unit place.
What is the unit digit of 57 45?
7
So, the units digit of 5745 is 7, which means the answer is D.
What is the units digit of 33 408?
The pattern in the units digit is 3, 9, 7, 1, 3, 9, . . . . The pattern will continue to repeat with every four integers of the exponent. Dividing 408 by 4 yields 102 with no remainder. Therefore, the units digit of 33408 will be the same as the units digit of 334, which is 1.
What is the units digit of 333333?
9
The pattern repeats every four digits. Imagine that you complete this table to 58 rows. 58/4 = 14 with a REMAINDER 2 so the pattern repeats 14 times and then there are two more rows with 3 and 9 in the units digit column. Thus the units digit of 358 is 9….
| n | 3n |
|---|---|
| 6 | 729 |
| 7 | 2187 |
| 8 | 6561 |
| 9 | 19683 |
What is the unit digit 795 358?
Unit digit in (795 – 358) = Unit digit in (343 – 9) = Unit digit in (334) = 4. So, Option B is the answer.
What is the unit digit in 7105?
This will be 7.
What is the unit digit of 4137?
Here we have to look at the unit digit of 4137 i.e. 7. Now we know that 7^754 = 7^752×7^2. And 7^2 = 49. Hence the unit digit at the end of 4137^754 should be 9.…
What is the unit digit of 13 ²¹?
Thus the units digit is 7.
What is the unit digit in 4137 754?
Therefore, the units digit of the number 4137^754 is 9.
What is the units digit of 3100?
1
The units digit of 3100 is: gcd(3,5) = 1 and gcd(3,2) = 1 then we can use Fermat’s theorem. Therefore the unit digit of 3100 is 1. With hundreds of Questions based on Elementary Number Theory, we help you gain expertise on Mathematics.
What is the unit digit in 2720?
Hence for every four consecutive powers, the unit digit will follow a pattern of 7,9,3,1. Hence UD of 27^20 will be 1.
What is the digit at the unit’s place of 31507?
Hence the answer is (a) 1.
What is the unit digit in 6374 1793 *?
0
∴ Unit digit will be 0.
What is the number in the unit place in 72959?
In other words, if 729 is multiplied an even number of times, the number in the unit place will be 1. Thus, the number in the unit place in (729)58 is 1. So, (729)59 = (728)58 X (729) = (……. 1) X(729) = 9 in the unit place.
What is the unit digit in 7¹05?
∴ Unit digit in 7105=(1×7)=7.
What is the unit digit in 4137754?
What is the unit digit in 2157 274?
The unit digit of product (2157)^173 is 7.
What will be the units place of 191 * 191?
The digits in the units places of 191, 191 and 252 are 1, 1 and 2 respectively.
What is the unit digit in the product 3547 254 * 563 73?
The answer is 7.
What is the unit digit?
This concept is mainly about the unit digit of a number and its repetitive pattern on being divided by a certain number The concept of unit digit can be learned by figuring out the unit digits of all the single digit numbers from 0 – 9 when raised to certain powers. 1.
What is the unit digit of the given number having 4?
Hint: The last digit of any number having “4” then power having even number then unit place comes 6 and power having odd number then unit place comes 4 Solution: Here power value is even number. So unit digit of the given number is 6
How do you find the unit place of a number?
If the unit place ( Last digit ) of any number “ An ” having 2, 3, 7 or 8, then the unit place of that number depends upon the value of power “ n” and follows If the unit place ( Last digit ) of any number “ An ” having 4 & 9 then the unit place of that number depends upon the value of power “ n” and follows
What is the last digit of power of 1 5 and 6?
The last digit of power of 1, 5 & 6 is always comes same number as a unit place. If the unit place ( Last digit ) of any number “ An ” having 2, 3, 7 or 8, then the unit place of that number depends upon the value of power “ n” and follows