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