what digit will come in unit place of cube of number 128
Answers
Given,
The main number is = 128
To find,
The unit digit of the cube of the main number.
Solution,
First of all, we have to calculate the cube of the given main number.
When we multiply the triplet of a same number, then the result of that multiplication is the cube of that number. Example- if "x" is a number, then (x×x×x) = x³, is the cube of the "x".
Cube of the main number = (128)³ = 128×128×128 = 16384 = 16384×128 = 2097152
Calculations :
128
×128
_____
1024
256×
128××
______
= 16384
16384
× 128
_____
131072
32768×
16384××
_______
= 2097152
Now, the unit digit of a number is the right most digit of that number.
The right most digit of the cube of the main number is 2. So, the unit digit of the cube of the given main number is also 2.
Hence, the 2 is the unit digit of the cube of the main number.
Given : cube of number 128
To find : digit in unit place of cube of number 128
Solution:
To find unit digit in cube of 128
we will find cube of unit digit of 128
cube of unit digit of a number will have same unit digit as cube of number
8³ = 8 x 8 x 8 = 512
Ends with 2
Hence cube of number 128 ends with 2
digit in unit place of cube of number 128 is 2
cube of number with unit digit 0 ends with a number with unit digit 0
cube of number with unit digit 1 ends with a number with unit digit 1
cube of number with unit digit 2 ends with a number with unit digit 8
cube of number with unit digit 3 ends with a number with unit digit 7
cube of number with unit digit 4 ends with a number with unit digit 4
cube of number with unit digit 5 ends with a number with unit digit 5
cube of number with unit digit 6 ends with a number with unit digit 6
cube of number with unit digit 7 ends with a number with unit digit 3
cube of number with unit digit 8 ends with a number with unit digit 2
cube of number with unit digit 9 ends with a number with unit digit 9
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