document.write( "Question 220164: what is the distributive property to 6(501) \n" ); document.write( "

Algebra.Com's Answer #165355 by jsmallt9(3758) $\"\"$ $\"About$

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I think the problem is to use the Distributive Property to multiply 6(501). As I hope you'll see, using the Distributive Propoerty to multiply when one of the numbers is near a multiple of power of ten (like 501).

\n" ); document.write( "Start by rewriting the number near a multiple of a power of ten as that multiple of a pwer of ten plus or minus some small number:
\n" ); document.write( "6(501) = 6(500 + 1)
\n" ); document.write( "Next use the Distributive Property to multiply:
\n" ); document.write( "6(501) = 6(500 + 1) = 6*500 + 6*1
\n" ); document.write( "The two multiplications should be pretty easy. Often they are ones you can do in your head:
\n" ); document.write( "6(501) = 6(500 + 1) = 6*500 + 6*1 = 3000 + 6 = 3006

\n" ); document.write( "So even though there are two multiplications and an addition this way it is often easier and faster than \"normal\" multiplication (when one of the numbers is near a multiple of a power of ten). \n" ); document.write( "

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