5 4 + 3 2 8 6 on es hu nd red s ten s REGROUPING in Addition 6 3 9 When we add numbers in columns, we can think of each column as being a set. We add up all the numbers in each set. First we add all the numbers in the ones place, then we add all the numbers in the tens place, then we add all the numbers in the hundreds place, and so on. When we have more than 9 in a set, we have to regroup—we have to move any of the digits that are higher than 9 over to the next column. Sometimes, we don’t even think about the process. 1 0 6 +0 5 1 1 6 + 5 11 © 2007abcteach.com REGROUPING in Addition When we have more than 9 in a set, we regroup—we move the tens place digit over to the next column. Sometimes we can do this without thinking... But it’s a good idea to be aware of the process, for when problems get more complicated. 1 0 6 +0 5 1 1 6 + 5 11 1 0 +0 1 1 8 5 4 1 9 6 3 5 3 1 11 5 3 + 1 10 2 8 2 5 7 2 5 9 7 3 4 8 9 1 © 2007abcteach.com REGROUPING in Addition When adding a very long column of numbers, one way to regroup is to make a mark above the next column every time the number goes over 9 (that is, every time there is a digit in the tens place), and start again. 1 1 1 1 1 2 3 9 7 8 + 1 3 2 5 2 8 2 5 7 9 ONES column: 5+2=7 7 + 8 = 15 (regroup 10, continue with 5) 5+2=7 7 + 5 = 12 (regroup 10, continue with 2) 2+7=9 TENS column 1+1=2 2+2=4 4+3=7 7 + 9 = 16 (regroup 10, continue with 6) 6 + 7 =13 (regroup 10, continue with 3) 3 + 8 = 11 (regroup 10, continue with 1) 1+1=2 HUNDREDS column 1+1+1=3 © 2007abcteach.com
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