Question
If the digit in one’s place of a number is 2, then the last digit of its cube will be:
- 2
- 4
- 6
- 8
Hint:
The numbers that result from multiplying an integer by itself three times are called cubes. For each number, whether it be an integer or a fraction, we can discover cubes. The one digit in a number denotes the final digit. The one's digit of the given number's cube must be located. In this question it is given that at ones place it is 2.
The correct answer is: 8
In this question, we have given that at one's place it is 2. We have to find what will be at one's place when the number is in the form of its cube. Here the concept of cubes will be used.
A number that is the sum of three identical numbers is referred to as a cube number. In other terms, a cube number is produced when a number is multiplied by itself twice.
Some properties of cube numbers:
- All even natural number cubes are also even.
- All odd number cubes are odd.
- The cube sum of the first n natural numbers is equal to the sum of those numbers squared.
- Both positive and negative integers are acceptable as perfect cube numbers. For instance, the perfect cubes of 2 and - 2 are, respectively, 8 and - 8.
Here we have given at units place 2 is there.
So the last digit of its cube will be 8.
Here in this question we were asked to find the last digit of the number, given that the unit digit of the number is 2. We should take care while understanding that last digit means unit place/one's place in order to find the correct answer.
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