Find how many numbers lie between two consecutive perfect squares. Do you notice a pattern? Class 8

Find how many numbers lie between two consecutive perfect squares. Do you notice a pattern? Class 8

Question 1.

Find how many numbers lie between two consecutive perfect squares. Do you notice a pattern? Class 8

Solution:

Yes, there is a pattern. Between squares of two consecutive numbers, start up from 1, numbers lying between these depits the pattern 3, 5, 7, 9, 11, ....

Question 2.

How many square numbers are there between 1 and 100? How many are between 101 and 200? Using the table of squares you filled earlier, enter the values below, tabulating the number of squares in each block of 100. What is the largest square less than 1000? Class 8

Solution:

1 - 100 = 10

101 - 200 = 10

201 - 300 = 10

301 - 400 = 10

401 - 500 = 10

501 - 600 = 10

601 - 700 = 10

701 - 800 = 10

801 - 900 = 10

901 - 1000 = 10

Largest square less than 1000 is 961.