basic math (addition)

Math Counting and

Addition

Basic

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Counting

One 1

Two 2

Three 3

Four 4

Five 5 © iTutor. 2000-2013. All Rights Reserved

Six 6

Seven 7

Eight 8

Nine 9

Ten 10

© iTutor. 2000-2013. All Rights Reserved

AdditionAddition is ..

... bringing two or more numbers (or things) together to make a new total

Here 1 ball is added to 1 ball to make 2 balls:

And in words it is: "One plus one equals two"

3 + 2 = 5


• Number Line - Shows numerals in order of value

• Adding on the Number Line (2 + 3 = 5)

• Adding with pictures

WHOLE NUMBERSAddition

Number Line

Adding on the Number Line

Adding with pictures


Addition of whole numbersSet Model

To find “2 + 3”, one with 2 objects and the other with 3 objects, form their union, and count the total. (click to see animation)


Measurement Model

0 1 2 3 4 5 6 7 8 9

In this model, the addition is performed on a number line.For example, to calculate 3 + 4,

(1) draw an arrow with length 3 starting at 0.

(2) draw an arrow with length 4 starting from the end of the previous arrow.

(3) the sum is then the length of the two arrows combined together this way.


Count From A Number Upwards

Example: 6 + 3

Jump Strategy You can also count by 2s or 10s, or make any "jumps" you want to help you to solve a calculation.

Example: 4 + 12

Think "6 ... 7, 8, 9"

Think "4 ... 14, 15, 16"


Alternative number line model for addition

In this model, a bunny is sitting above the number 0 (which is its home base) facing right (which is the positive direction), and will jump forward if it has to perform an addition problem.

0 1 2 3 4 5 6 7


Example : 2 + 41. Our rabbit starts at 0 facing

right.

2. It then hops forward 2 units because it sees 2 in the beginning.

0 1 2 3 4 5 6 7



right.


0 1 2 3 4 5 6 7

3. After this the bunny has to jump 4 more steps forward because it sees +4



right.


0 1 2 3 4 5 6 7

3. After this the bunny has to jump 4 more steps forward because it sees + 4.


Example : 2 + 41. Our rabbit starts at 0 facing right.


0 1 2 3 4 5 6 7

3. After this the bunny has to jump 4 more steps forward because it sees + 4.

Since the bunny finally stops at 6, we know that 2 + 4 = 6.


NamesOther names for Addition are : Sum Plus Increase Total

And the numbers to be added together are called the "Addends":


Adding numbers with two digits Adding numbers with 1 digit is pretty straight

forward. In general, you can do it mentally or use your

fingers. Adding zero to a number never changes the number.

For AdditionStep 1: Add the one’s place number and take the carry to the next step.

Step 2: Add the ten’s place number and also add the carry and over the new carry to the next

step. Continue this process for every place in the given number.


Handy rules for Addition:a) Add the rightmost column. If this column contains

only one digit, we just write that digit under the column we are adding.

b) We need to go on to the next column and repeat the same procedure.

In the above, we add the ones column first. Then, we carry over the tens to the tens column. The 1 that we carry over has a place value of 10. However, there is no need to write 10 because as we saw before in place value putting a 1 here in the tens place means that there is 1 ten.


A man sold 230 balloons at a carnival in the morning. He sold another 86 balloons in the evening.

Morning

230

Afternoon

86

a) How many balloons did he sell in all?

?


Addition (count)• Adding in columns - Uses no equal sign

5+ 5 10

897+ 368 1265

Simple Complex

Answer is called “sum”.

Adding in columns


The End

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