What name would you give each table? How would you fill in the missing numbers? What patterns do you see in the tables?

Warm-Up: September 8, 2014

The Tables of Arithmetic

Investigation 1ASections 1.01-1.05

How many numbers are there between zero and ten?

Question

How would you show the number 3? How would you show the number -2? How can a number line help you do math?

We will discuss number lines in more detail in Investigation 1B.

Number Lines

What is the opposite of 5?

What is the opposite of -5?

“Negative” means the same as “opposite of.”

Opposite Numbers

Extended Addition Table

Extended Multiplication Table

Represented by a capital ℤ

Integers

...,5,4,3,2,1,0,1,2,3,4,5...,

Commutative Property:◦ Order of addition does not matter

Associative Property:◦ When you add more than two numbers, the way

you group them does not matter.

Additive Identity:◦ When you add zero to any number, the result is

the number itself.◦ The number 0 is the additive identity.

Properties of Addition

Commutative Property:◦ Order of multiplication does not matter

Associative Property:◦ When you multiply more than two numbers, the

way you group them does not matter.

Multiplicative Identity:◦ When you multiply 1 by any number, the result is

the number itself.◦ The number 1 is the multiplicative identity.

Properties of Multiplication

Read Investigation 1A (pages 8-31) Page 33 #1-8 Read Investigation 1B (pages 34-52)

Assignment