Everyday Mathematics Column Addition Column Addition Column addition involves: Recording numbers in place-value columns; Adding in place-value columns;

Everyday Mathematics Column Addition

Column Addition Column addition involves: Recording numbers in place-value columns; Adding in place-value columns; and Making and moving groups of 1s, 10s, 100s, and so on. Everyday Mathematics

Column Addition Solve: 379 + 562 We set up the problem by writing the numbers in their place-value columns. H = hundreds T = tens O = ones T 379379 +562+562 Everyday Mathematics HO

Column Addition Solve: 379 + 562 We add the digits in each column, keeping the sums separate in the place-value columns. It doesnt matter if we start at the left or at the right. HTO379+562HTO379+562 Everyday Mathematics 81113

Column Addition Solve: 379 + 562 We make adjustments so each column has only one digit. This can be done in any order, but its most efficient to start with the ones place-value column. HTO 379 +562 81311 Everyday Mathematics

Column Addition Solve: 379 + 562 The 11 in the ones column represents 11 ones. Remember: 11 = 10 + 1 Move 10 ones to the tens column as 1 ten. HTO 379 +562 81311 Everyday Mathematics

Column Addition Solve: 379 + 562 Now we can rewrite the answer: There are still 8 hundreds. There are 14 tens (13 tens + 1 ten = 14 tens). There is only 1 one left in the ones column. Remember that we moved 10 ones to the tens column as 1 ten. HTOHTO 379379 +562+562 81311 14 Everyday Mathematics 18

Column Addition Solve: 379 + 562 Now lets adjust the tens column. The 14 in the tens column represents 14 tens. 14 tens = 10 tens + 4 tens Remember: 10 tens is 1 hundred. Move 10 tens to the hundreds column as 1 hundred. HTO 379 +562 81311 8141 Everyday Mathematics

Column Addition Solve: 379 + 562 Now lets adjust the tens column. The 14 in the tens column represents 14 tens. 14 tens = 10 tens + 4 tens Remember: 10 tens is 1 hundred. Move 10 tens to the hundreds column as 1 hundred. HTO 379 +562 81311 8141 941 Everyday Mathematics

Column Addition Now we can rewrite the answer: There are now 9 hundreds in the hundreds column (8 hundreds + 1 hundred = 9 hundreds). There are only 4 tens left in the tens column. (Remember that we moved 10 tens to the hundreds column.) There is still 1 one in the ones column. Since we now have exactly one digit in each of the place-value columns, our work is done. HTOHTO 379379 +562+562 81311 8141 4 Everyday Mathematics 19

Column Addition 379 + 562 = 941 HTO 379 +562 81311 8141 941 Everyday Mathematics

Column Addition When children use column addition they practice a variety of skills related to number sense and algebraic reasoning. For example: Writing numbers according to the place value of the digits; Renaming numbers in different ways; and Making 10s and 100s, and moving between place-value columns. Some teachers introduce column addition as a step between childrens invented algorithms and the U.S. traditional addition algorithm. Column addition can be explained with language and representations that make sense in terms of place value. Everyday Mathematics

Everyday Mathematics Column Addition Column Addition Column addition involves: Recording numbers in place-value columns; Adding in place-value columns;

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