warm up round to the indicated place value. 1.782 to the nearest tens 2.3, 251 to the nearest...
TRANSCRIPT
Warm UP
Round to the indicated place value.
1. 782 to the nearest tens
2. 3, 251 to the nearest hundred
3. 28, 341 round to the nearest ten thousand
4. 719, 219 round to the largest place
5. 732 to the nearest tens
6. 36 to the largest place
Lesson 1.1 Real Number Sets
S1.C1.PO1
SWBAT: Recognize, provide examples of and create a hierarchy for all of the real number sets.
Natural Numbers(Counting Numbers)
•start at 1, 2, 3,…
Whole Numbers
•start at 0, 1, 2, 3 …
Integers•Positive and negative
whole numbers. … -3, -2, -1, 0, 1, 2, 3, …
Rational Numbers
•Any number that can be written as a fraction. This includes all terminating and repeating decimals.
( 1 ½ , 8.19, 5, -2, )
8 3.
Irrational Numbers•Any decimal that does not repeat or terminate.
, 7, 5, 217
Real Numbers
•All rational and irrational numbers.
Lesson 1.1BFinite, Infinite, & Empty
Sets
• OBJ: SWBAT determine the difference between finite and infinite sets.
• Standard: S1C1PO2
What is a set?
A set is a group of objects. Usually in a math class we will deal with
sets of
A set could be “the number of people in the room wearing white shoes.” Or, “all
objects in the room that are black.”
NUMBERS!
But wait!
Just how many types of sets are there?
There are three different types of sets:
1. First type is: A finite set.
2. Second type is: An infinite set.
3. Third type is: An empty set
Finite SetsFinite sets have an exact number of
elements in the set.
Examples: {5,6,7,8} or { whole numbers less than 14}
In other words, the set has a stopping point…a last value…a final number…doesn’t keep
going…finishes…no mas!
Note: The curly braces {} simply represent a set of numbers…this is called “set
notation.”
Infinite SetsInfinite Sets have unlimited elements in their
set.
Examples:
{ 0, 1, 2, 3…} or {integers less than -3}
You can tell the difference between a finite and infinite set based on whether the set keeps going, or whether the set has a specific number of elements in it.
Always ask yourself: “Self, does this set keep going?”
If it does…then it’s infinite! Cool huh?!
Empty Set
•The Empty Set is the set that contains nothing. It is called the null set.
•It is represented by either
a { } or ø.
Real numbers
Rational Numbers
Irrational Numbers
Integers
Whole
Natural
Venn DiagramVenn DiagramVenn DiagramVenn Diagram
Real Numbers
Irrational Numbers
Integers
Whole Numbers
Rational Numbers
Natural Numbers
Tree DiagramTree DiagramTree DiagramTree Diagram
Real Numbers
Rational NumbersIrrational
Numbers
Integers
Natural
Whole
PyramidPyramidPyramidPyramid
Real Numbers
Rational Numbers
Irrational Numbers
Integers
Whole
Natural
Nesting BoxesNesting BoxesNesting BoxesNesting Boxes
Summary• Describe in your own words the
difference between rational and irrational numbers
Homework: Worksheet