What patterns do you notice? Share your observations and make conjectures. Class 8

What patterns do you notice? Share your observations and make conjectures. Class 8

Question 1.

What patterns do you notice? Share your observations and make conjectures. Class 8

Solution:

In all these squares, unit digit is 0 or 1 or 4 or 5 or 6 or 9. No squares ends in 2, 3, 7 or 8.

Question 2.

If a number ends in 0, 1, 4, 5, 6 or 9, is it always a square? Class 8>

Solution:

No. For example, 10, 21, 34, 55, 76, 79 are not squares.

Question 3.

If a number contains 3 zeros at the end, how many zeros will its square have at the end? Class 8

Solution:

Six.