This document provides instructions for adding whole numbers with multiple addends. It begins by defining an addend as a number being added in an addition problem. Examples are provided showing addition problems with two, three, and four addends. The document explains that the associative property allows addition problems to be solved by grouping the addends in any way without changing the final sum. Step-by-step worked examples demonstrate using the associative property and regrouping when adding multi-digit numbers. Additional practice problems are included for students.
2. Objectives
6C1a – Students will be able to add whole
numbers ( use up to three addends with
no more than 4 digits in each addend and
whole numbers)
3. Addends
Definition:
addends- a number to be added
Example:
245
+786
This problem has two addends
4. Addends
How many addends are in these problems?
527
681
+786
This problem has three addends
183
517
21
+ 5
This problem has four addends
5. Adding Whole Numbers
How do we add whole numbers with two
or more addends?
2864
345
+436
?
6. Adding Whole Numbers
One way to solve this problem is to use the associative property.
o Associative property: when adding numbers, the grouping of
numbers does not affect the result.
This addition problem could be solved like this:
2864
345
+436
Or like this:
436
2864
+345
No matter which way you solve the problem you will end up with the
same sum.
7. Adding Whole Numbers
The associative property can be used in order to find the sum of the
numbers. Let’s take a closer look:
2864
345
+436
First add the ones column:
6+4=10
5+0=5
10+5=15
Since the answer is 15 we will have to regroup by putting the 5 in the
ones place and carrying the 1 to the ten column.
8. Adding Whole Numbers
Next we move to the tens column:
1
2864
345
+346
5
6+4=10
4+1=5
10+5=15
In this case we need to regroup. We will put the 5 in the tens place and
carry the 1.
9. Adding Whole Numbers
After the tens we move to the hundreds place:
1
2864
345
+436
55
4+1=5
8+3=11
11+5=16
Once again we need to regroup. We will put the 6 in the hundreds
place and carry the 1 to the thousands place.
10. Adding Whole Numbers
Now we move to the thousands place:
1
2864
345
+436
655
2+1=3
Now we put the 3 in the thousands place and we have solved the problem.
2864
345
+436
3655