what name would you give each table? how would you fill in the missing numbers? what patterns do...
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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