**add**, as in to combine numbers.

What about this most primitive math operation? Is it too simple for us, as grown-ups? Do we know everything there is to know about addition?

I hope not. I think not. How about a quiz today, while we all wait for Thanksgiving to arrive!

First, a bit of review:

Word/Concept | Meaning |
---|---|

Add; Addition | Process of joining or combining two or more numbers |

Count; Counting | Repeatedly adding one to a set of numbers; ascending |

Plus | Added to; this symbol "+"; slightly above normal (B+) |

Sum; Summation | Calculating the total of two or more numbers |

Multiplication; Multiply | Repeated addition |

Subtraction; Subtract | The inverse of addition; taking one number away from another number |

Math words in English are derived from Latin roots.

When adding, the number you

*was first known as the*

**start with***augend*. (We use this same root word when we talk about somethings being

*augmented...*)

The number being

**was first called the**

*added to it**addend*; nowadays we use

*addend*for all numbers being added.

The word

*augend*means "

*thing to be increased*"

The word

*addend*means "

*thing to be added*"

The word

*add*means "

*give to"*

The word

*sum*means "

*the highest"*which leads to an interesting fact:

Did you know?

People used to add columns of numbers upwards? Like this:

Did you know addition can be very tricky?

Measurements in different units are tough, as in

**(3 feet + 4 yards) = 180 inches**

Did you know there are things you cannot add?

Different kinds of objects

**(3 squares plus 4 rectangles) ≠ 7 octagons**

Did you know you can be asked to consider two opposite operations at once?

The speed of the car is controlled at

**45 mph ±5 mph**.

Did you know the secrets of adding Roman numerals?

First, change negatives to positives ( IX means -1 and 10, so you make it V I I I I instead )

Rearrange all the letters in order of highest value to lowest, then simplify the total.

(XIII + III + L + VII ) = L + X + V + I I I I I I I I = LXXIII

Did you know you can "show" addition on a number line?

Here's an example.

For more on number lines, read our May 2 bog post, "Using Numer Tines to Add and Subtract" and download a free math worksheet.

Did you know about infix notation?

We indicate addition with a plus sign between two numbers (2+2). This is called

**infix notation.**Did you know addition can be performed in various ways on a calculator or in programs?

*Infix notation*or

*direct algebraic notation*is when you press 2 + 2 + 2 = and you see 6

*Prefix*or

*Polish notation*is when you press + then 2 ↵ 2 ↵ 2 ↵ and the display shows 6

*Postfix*or

*Reverse Polish notation*is when you press 2 ↵ 2 ↵2 + and the display shows 6

Did you know about operands and operators?

Addition is an operation (something that is performed). The two (or more) addends are also known as operands (the things upon which a math operation is performed).

Did you know the four special properties of addition?

- commutative - the order of the addends doesn't make any difference in the sum. 2+3=3+2
- associative - when three or more numbers are added, grouping them in different ways doesn't make any difference in the sum (2+3)+4 = 2+(3+4)

- additive identity - the sum of zero and a number is that number. 5+0=5

- distributive property - the sum of two numbers when multiplied by a third is the same as each of the two numbers multiplied independently and then added (3+4)*5=35 and (3*5)+(4*5)=35

Name 2 things you have learned about addition today:

1.

2.

Write a sentence using some of the words you have learned today:

In

*, I personally can*

**summary***at least two*

**count****things: I have**

*positive**"making a tabular table" to my web blogging skills, thus*

**added***the value of my posts.*

**augmenting****, I learned about infix notation.**

*Plus*
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