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Compact Method
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Since Maruta makes the trades before she writes things down, each column never has more than one digit. That way she does not need the Base-Ten Recording Sheet to tell her the value of the digits—she just uses place value.
She explains it like this:
“8 ones plus 7 ones is 15 ones.
“I trade 15 ones for 1 ten and 5 ones.
“I write 5 in the answer space of the ones column.
“I write a little 1 in the tens column.”
“1 ten plus 7 tens plus 6 tens is 14 tens.
“I trade 14 tens for 1 hundred and 4 tens.
“I write 4 in the answer space of the tens column.
“I write a little 1 in the hundreds column.”
“Finally, I add the hundreds, 100 + 600 + 200. I get 9 hundreds.
“I put 9 in the answer space of the hundreds column.”