Question

Write down all the square numbers between 100 and 200

Answer 1

Step-by-step explanation:

The smallest 3-digit square number is 100. 100 is the square of 10. Here

• $11^{2}=121,\quad 100<121<200$

• $12^{2}=144,\quad 100<144<200$

• $13^{2}=169,\quad 100<169<200$

• $14^{2}=196,\quad 100<196<200$

• $15^{2}=225,\quad 225>200$

Answer:

So we have only four square numbers between 100 and 200. They are 121, 144, 169 and 196.

Refer to the attachment, if you want to see the number grid.

Answer 2

The smallest 3-digit square number is 100. 100 is the square of 10. Here

11^{2}=121,\quad 100 < 121 < 20011

2

=121,100<121<200

12^{2}=144,\quad 100 < 144 < 20012

2

=144,100<144<200

13^{2}=169,\quad 100 < 169 < 20013

2

=169,100<169<200

14^{2}=196,\quad 100 < 196 < 20014

2

=196,100<196<200

15^{2}=225,\quad 225 > 20015

2

=225,225>200

so we have only four square numbers between 100 and 200. They are 121, 144, 169 and 196