document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=740232>Question 740232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Anyone willing to help me wit this problem?\r<BR>\n" );
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document.write( "Find the difference:<BR>\n" );
document.write( "Two thousand six hundred and one minus seven hundred and twenty-seven.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451536 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=451536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I like to think of numbers as money that comes in ones, tens, hundreds and thousands bills, with no in-between denominations.<BR>\n" );
document.write( "Two thousand six hundred and  DISABLED_event_one=  2 thousands + 6 hundreds + 0 tens + 1  DISABLED_event_one=  2000+600+00+1=2601<BR>\n" );
document.write( "seven hundred and twenty-seven = 7 hundred + 2 tens + 7  DISABLED_event_ones= 700+20+7=727<BR>\n" );
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document.write( "A TRICK THAT OFTEN WORKS FOR ME:<BR>\n" );
document.write( "I can deal with very advanced college math, but I often make mistakes when dealing with basic arithmetic.<BR>\n" );
document.write( "When I have to do a difficult subtraction like that, I change the problem like this.<BR>\n" );
document.write( "If I had to pay $727 and I had $2601 in my pocket, I would not take all my money out.<BR>\n" );
document.write( "I would only take $1000 and keep the other $1601 in my pocket.<BR>\n" );
document.write( "So I like to calculate 1000-727=273 first.<BR>\n" );
document.write( "I know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000-green%287%29 ALIGN=MIDDLE  ALT=\"1000-green%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%287%29=green%282%29 ALIGN=MIDDLE  ALT=\"red%287%29=green%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%283%29 ALIGN=MIDDLE  ALT=\"red%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "I can calculate that easily from left to right by calculating 9 minus each digit except the last one.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9-green%287%29=green%282%29 ALIGN=MIDDLE  ALT=\"9-green%287%29=green%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9-2=7 ALIGN=MIDDLE  ALT=\"9-2=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the ones digit, I do 10 minus the ones digit.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-red%287%29=red%283%29 ALIGN=MIDDLE  ALT=\"10-red%287%29=red%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So if I pay with a $1000 bill for something that costs $727, I will get $273 back.<BR>\n" );
document.write( "Since I still have $1601 in my pocket, when I add the $273 that I got as change, I will have<BR>\n" );
document.write( "$1601 + $273 = $1874.<BR>\n" );
document.write( "That's how I calculate 2601-727=1874<BR>\n" );
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document.write( "THE WAY IT IS TAUGHT:<BR>\n" );
document.write( "The way that calculation is taught is illustrated by this cartoon calculation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=subtraction_cartoon%282601%2C727%29 ALIGN=MIDDLE  ALT=\"subtraction_cartoon%282601%2C727%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You line up the ones digits, the tens digits, the hundreds digits and so on.<BR>\n" );
document.write( "Then you would start subtracting the ones first, then the tens, then the hundreds,  and so on.<BR>\n" );
document.write( "However, when you find you cannot subtract, you have to make some adjustments.<BR>\n" );
document.write( "In this case, as you find you cannot subtract 7 ones from 1 one,<BR>\n" );
document.write( "you \"borrow\" change for a ten from a make-believe bank.<BR>\n" );
document.write( "The bank writes a red 1 on top of your tens column, to show that you owe the bank 1 ten.<BR>\n" );
document.write( "You get 10 ones, which added to the 1 one you had gives you 11.<BR>\n" );
document.write( "Now that you have 11 ones you can subtract 7 from 11 to get 4 ones.<BR>\n" );
document.write( "You write 4 as a result for your ones column below the 7.<BR>\n" );
document.write( "Now you are ready to deal with the tens.<BR>\n" );
document.write( "You have to subtract 2 tens and you also have to pay 1 ten to the bank.<BR>\n" );
document.write( "However, you have no tens in 2601.<BR>\n" );
document.write( "You borrow change for 1 hundred from the bank.<BR>\n" );
document.write( "The bank writes a red 1 at the top of the hundreds column, above the 6, to record that you owe 1 hundred, and gives you 10 tens as change for the borrowed 1 hundred.<BR>\n" );
document.write( "Now you have 10 tens, you pay back the 1 ten that you owed the bank, and subtract the 2 tens you had to subtract, leaving you with 7 tens.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-1-2=7 ALIGN=MIDDLE  ALT=\"10-1-2=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You write 7 as the result for the tens at the bottom of your tens column, below the 2.<BR>\n" );
document.write( "Now you are ready to deal with the hundreds.<BR>\n" );
document.write( "You have 6 hundreds in 2601.<BR>\n" );
document.write( "However you need to subtract 7 hundreds, and you still owe 1 hundred to the bank.<BR>\n" );
document.write( "You borrow 1 thousand in change from the bank.<BR>\n" );
document.write( "The bank writes a red 1 at the top of the thousands column to show that you owe a thousand, and gives you 10 hundreds as change for the 1 borrowed thousand.<BR>\n" );
document.write( "Now you have the 10 hundreds you got from the bank plus the 6 you originally had.<BR>\n" );
document.write( "That makes 16 hundreds.<BR>\n" );
document.write( "You pay back 1 hundred you owed to the bank and subtract the 7 hundreds you had to subtract and are left with 8 hundreds.<BR>\n" );
document.write( "You write 8 as a result for the hundreds at the bottom of the hundreds column, below the 7.<BR>\n" );
document.write( "Now you are ready to deal with the thousands.<BR>\n" );
document.write( "You have 2 thousands, and you do not have to subtract any, but you owe the bank 1 thousand.<BR>\n" );
document.write( "You pay back your debt to the bank and are left with 1 thousand, which is your result for the thousands, so you write 1 as a result in the thousands column. </SPAN>\n" );
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