document.write( "Question 1011844: Dividing a no. By 5 we get 3 as remainder.What will remainder square of this divided by 5. \n" ); document.write( "

Algebra.Com's Answer #627620 by mathmate(429) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Question:
\n" ); document.write( "Dividing a no. By 5 we get 3 as remainder.What will remainder square of this divided by 5.
\n" ); document.write( "
\n" ); document.write( "Solution:
\n" ); document.write( "
\n" ); document.write( "Let this number be represented by N=5n+3 where n is an integer.
\n" ); document.write( "So (5n+3)÷ 5 will have 3 as a remainder, since 5n÷5=n, an integer.
\n" ); document.write( "
\n" ); document.write( "Similarly,
\n" ); document.write( "(5n+3)²=25n²+30n+3²=5(5n²+6n)+9
\n" ); document.write( "so
\n" ); document.write( "(5n+3)²÷5=(5n²+6n)+1 with a remainder of 4
\n" ); document.write( "
\n" ); document.write( "Answer: the remainder of N²÷ 5 is 4
\n" ); document.write( " \n" ); document.write( "

\n" );