Classifications of Numbers
Irrational or Rational?
Determine the absolute value
Modeling a Situation
Distribute
100
What are real numbers?
The set of all numbers
100
9.97497494974....
Rational
repeating decimal
100
|888|=?
888
100
You start with $66 and save $3 each week. What algebraic expression models the total amount you save?
W= # of weeks
66+3W
100
2(x+2)=?
2x+4
200
What are natural numbers?
Counting Numbers with no 0
EX: 1,2,3,4
200
12.12112111211112
Irrational
non-repeating
200
|-1|=?
1
200
You had $200, but you are spending $11 each day. What algebraic expression models this situation?
D+ # of days
200 - 11d
200
5(x+9)=?
5x+45
300
What are whole numbers?
Counting numbers with 0
EX: 0,1,2,3
300
8.325
Rational
ending decimal
300
|x+6|=7
x=1
x=-13
300
You have $35 in your wallet, and you save $10 each week. What algebraic expression models this situation?
W= # of weeks
35+ 10w
300
-6(b+3)=?
-6b-18
400
What are integers?
Counting numbers and their opposites (negatives)
EX: -2, -1, 0, 1, 2
400
5.12983147183940387520395828523095723
Irrational
non-repeating
400
|x+12|=-8
x=-20
x=-4
400
You had $100,000, but you are spending $100 each day. What algebraic expression models the situation?
d=# of days
100,000-100d
400
-3a2(b-3)=?
-3a2b+9
500
what are rational numbers?
Any number that can be expressed as a/b where a, b are integers(repeated or ending decimals
500
911.111111111111111111111111111111111
rational
repeating decimal
500
|x+368|=688
x=320
x=-1,056
500
You start with $650 and save $10 each month. What algebraic expression models the total amount you save?
M=# of months
650+10m
500
921y(5x+94.3y)=?
4605yx+86850.3y2