Transcript 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.

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
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
H
3
+5
T
7
6
Everyday
O
9
2
Column Addition
Solve: 379 + 562
We add the digits in each column,
keeping the sums separate in the
place-value columns.
It doesn’t matter if we start at the
left or at the right.
H T O
3 7 9
+5 6 2
8 13 11
Everyday
Column Addition
Solve: 379 + 562
We make adjustments so each
column has only one digit. This
can be done in any order, but it’s
most efficient to start with the
ones place-value column.
H T O
3 7 9
+5 6 2
8 13 11
Everyday
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.
H T O
3 7 9
+5 6 2
8 13 11
Everyday
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.
H T O
3 7 9
+5 6 2
8 13 11
8 14 1
Everyday
Column Addition
Solve: 379 + 562
Now let’s 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.
H T O
3 7 9
+5 6 2
8 13 11
8 14 1
Move 10 tens to the hundreds
column as 1 hundred.
Everyday
Column Addition
Solve: 379 + 562
Now let’s 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.
H T O
3 7 9
+5 6 2
8 13 11
8 14 1
9 4 1
Everyday
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.
H T O
3 7 9
+5 6 2
8 13 11
8 14 1
9 4 1
Everyday
Column Addition
379 + 562 = 941
H T O
3 7 9
+5 6 2
8 13 11
8 14 1
9 4 1
Everyday
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 children’s
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