Question

Using the suitable pattern, complete the following: [3 MARK]

$\frac{{333}^2}{12321}=\dots \dots$

Answer 1

Concept : 1 Mark
Pattern : 1 Mark
Calculation : 1 Mark

Consider the following patterns:

${11}^2=121$

${111}^2=12321$

${1111}^2=1234321$

${11111}^2=123454321$

${111111}^2=1234564321$

Now $\frac{{333}^2}{12321}=\frac{(3{)}^2\times (111{)}^2}{12321}=\frac{9\times 12321}{12321}=9$