Some Helpful Tools
Addition Pairs
(Back of Card 2)
Here Are 81 Addition Facts
Familiarize yourself with the following addition facts. Review these facts everyday until you can say and write them without having to think about them.
Let's look at the following number using a place value chart:
Example: 2,192,742
"two million, one hundred ninety-two thousand, seven hundred forty-two"
Once you have learned the sums for addition pairs, you can solve any addition
problem.
Let's look at the addition pairs again:
When adding the number 9 to a single-digit addend, remember that both numbers are under 10. Therefore, the sum will fall between 10 and 18.
9 + 1 = 10 9 + 6 = 15
9 + 2 = 11 9 + 7 = 16
9 + 3 = 12 9 + 8 = 17
9 + 4 = 13 9 + 9 = 18
9 + 5 = 14
Notice how the boldface print number in the ones column of the sum is one 
number less than the number you are adding to 9. Zero is less than one. One is less than two. Two is less than three, and so on.
Estimating can help you solve the following problem.
Example: 37 + 52 =
You can round to the nearest ten, hundred, thousand, and so on. In this case,
since the addends are double-digit numbers, round to the nearest ten.
40 + 50 = 90
Remember, when the number you are trying to round is followed by a 5 or greater,
round the number up. When the number you are trying to round is followed by a 4
or less, round the number down.
Hint:
37 + 52 = 89
If you round 89 to the nearest ten, you will get 90.
To help you remember the sums for these addition pairs, follow the steps below:
2 + 2 =
4
(Front of Card 1)
(Back of Card 1)
(Front of Card 2)
1
2
1 + 1 =
1
2
2
Place all the Addend Cards in order on the left side with the Front side face up as shown above.
Mix up the Sum Cards and place them on the right side with the Front side
face up.
The goal is to place the sums next to their appropriate addends.
When you are finished, turn your cards over. If the numbers on the back
match, your answers are correct. If not, keep trying until you have reached your goal.
For more of a challenge, try it again. But this time, set a timer for three minutes or less. Decrease the amount of time for each round to improve your speed.
This method may be used to learn all the Addition Facts.
(Back of Card 3)
3 + 3 =
6
(Front of Card 3)
3
3
and so on...
Place Value
Estimation
a.
b.
e.
d.
c.
Write the addition pairs on cards using either typing paper or construction
paper. If you use construction paper, use two different colors. One color will
contain the addends, and the other color will contain the sums.
Example:
f.
To find the sum, begin by saying 1 take away 1 is 0.
Therefore, 9 + 1 = 10.
To find the sum, begin by saying 2 take away 1 is 1.
Therefore, 9 + 2 = 11.
To find the sum, remind yourself that 5 + 5 = 10. The addend 4 is 1 less than 5. Since 10 - 1 = 9, we can say that 5 + 4 = 9.
To find the sum, remind yourself that 8 + 8 = 16. The addend 3 is 5 less than 8. Since 16 - 5 =11, we can say that 8 + 3 = 11.
To find the sum, remind yourself that 6 + 6 = 12. The addend 7 is 1 more than 6. Since 12 + 1 = 13, we can say that 6 + 7 = 13.
Example 1: 5 + 4 =
Example 2: 8 + 3 =
Example 3: 6 + 7 =
1 + 1 = 2
2 + 2 = 4
3 + 3 = 6
4 + 4 = 8
5 + 5 = 10
6 + 6 = 12
7 + 7 = 14
8 + 8 = 16
9 + 9 = 18
1 + 1 = 2
2 + 2 = 4
3 + 3 = 6
4 + 4 = 8
5 + 5 = 10
6 + 6 = 12
7 + 7 = 14
8 + 8 = 16
9 + 9 = 18
(Addend Cards
on the left)
(Sum Cards on the
right)
Adding Using the Number Nine
More on Addition Pairs
Round 12 down to 10 because 2 is less than 5.
Round 16 up to 20 because 6 is greater than 5.
Example 1: 9 + 1 =
Example 2: 9 + 2 =
Example 3: 9 + 3 =
To find the sum, begin by saying 3 take away 1 is 2.
Therefore, 9 + 3 = 12.
Math: Addition - Extra Study Help
Remember, zero is a placeholder
Therefore, the number 53,072,193 is read as:
"fifty-three million, seventy-two thousand, one hundred ninety-three"
When zero is placed after the two, as in the example below, the number is read as:
"53,720,193
"fifty-three million, seven hundred twenty thousand, one hundred ninety-three"
Millions
Thousands
Ones
Hundreds
Tens
Ones
Hundreds
Tens
Ones
Hundreds
Tens
Ones
2 , 1 9 2 , 7 4 2
