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Lets start from the Beginning.

Numbers 1 - 10 and simple operations.

Same numbers, written differently.

1  2  3  4  5  6  7  8  9  10  -  +   x  ÷

1  2  3   4   5  6   7  8  9   10  -  +   x  ÷

1  2  3    4    5  6   7   8   9  10   -   +   x  ÷

1 2  3  4  5  6  7  8  9  10 -  +   x  ÷

Addition

Our first math operation.

Order does not matter.

0  +  1  = 1

1  + 1 = 2

2 + 3 = 5

5 + 5 = 10

    1          3 

+ 2      + 6

    3         9

Subtraction

Put the larger number first, please.  It will be important in advanced lessons.

1   -  0  = 1

1  - 1 = 0

3 - 2 = 1

7 - 5 = 2

   2         6 

- 1       - 3

   1          3

Multiplication

Order does not matter.

1    x 0  = 0

1  x 1 = 1

1  x 6 = 6

2 x 3 = 6

    5         2        5

x 2      x 5    x 0

  10       10        0 

Division

Order matters here too. Largest number first, for now, to avoid fractions.

There are also a few ways to write this.

0    ÷ 1  = 0

2  ÷ 1 = 1

4  ÷ 2 = 2

12 ÷ 6 = 2

  12           6      12

÷ 6      ÷ 12    ÷ 2

   2       0.5        6

10 / 2 = 5

 4 / 4 = 1

  2 / 1 = 2

 6 / 3 = 2

0001.png

       5    

3   15

These structures can also be described like this:

15 ÷ 3  = 5  

Dividend ÷ Divisor = Quotient

  15 / 3 = 5

Dividend / Divisor = Quotient

   15    Dividend

÷ 3     Divisor

   5     Quotient  

0001.png

       5    

3   15

0001.png

               Quotient

Divisor    Dividend

Numbers into Words

Here are ways to describe math parts with their operations.

Terms and Definitions

The only way to learn mathematics is to do mathematics.
 
- Paul Halmos

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