What patterns do you notice in the table above? Class 8

What patterns do you notice in the table above? Class 8

Question 1.

What patterns do you notice in the table above? Class 8

Solution:

Pattern is as follows :

Unit digit of the cubes of the numbers whose unit digit is 1 is 1; unit digit of the number's whose unit digit is 9 is 9; same is true for the cubes of numbers, whose unit digits are 0, 4, 5 and 6. Further, unit digit of cubes of numbers whose unit digit is 2 is 8 and unit digit of cubes of the numbers whose unit digit is 8 is 2. Similarly cubes of those numbers ending is 3, ends at 7 and cubes of these numbers ending in 7 ends at 3.

Question 2.

We know that 0,1, 4, 5, 6, 9 are the only last digits possible for squares. What are the possible last digits of cubes? Class 8

Solution:

All the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.>