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Warm UP Round to the indicated place value. 782 to the nearest tens 3, 251 to the nearest hundred PowerPoint PPT Presentation


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Warm UP Round to the indicated place value. 782 to the nearest tens 3, 251 to the nearest hundred 28, 341 round to the nearest ten thousand 719, 219 round to the largest place 732 to the nearest tens 36 to the largest place. Lesson 1.1 Real Number Sets. S1.C1.PO1.

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Warm UP Round to the indicated place value. 782 to the nearest tens 3, 251 to the nearest hundred

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Warm up round to the indicated place value 782 to the nearest tens 3 251 to the nearest hundred

  • Warm UP

  • Round to the indicated place value.

  • 782 to the nearest tens

  • 3, 251 to the nearest hundred

  • 28, 341 round to the nearest ten thousand

  • 719, 219 round to the largest place

  • 732 to the nearest tens

  • 36 to the largest place


Lesson 1 1 real number sets

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

Natural Numbers(Counting Numbers)

  • start at 1, 2, 3,…


Whole numbers

Whole Numbers

  • start at 0, 1, 2, 3 …


Integers

Integers

  • Positive and negative whole numbers.

    … -3, -2, -1, 0, 1, 2, 3, …


Rational numbers

Rational Numbers

  • Any number that can be written as a fraction. This includes all terminating and repeating decimals.

    ( 1 ½ , 8.19, 5, -2, )


Irrational numbers

Irrational Numbers

  • Any decimal that does not repeat or terminate.


Real numbers

Real Numbers

  • All rational and irrational numbers.


Lesson 1 1b finite infinite empty sets

Lesson 1.1BFinite, Infinite, & Empty Sets

  • OBJ: SWBAT determine the difference between finite and infinite sets.

  • Standard: S1C1PO2


What is a set

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

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 sets

Finite Sets

Finite 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 sets

Infinite Sets

Infinite 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

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.


Venn diagram

Venn Diagram

Real numbers

Rational Numbers

Integers

Whole

Irrational Numbers

Natural


Tree diagram

Real Numbers

Tree Diagram

Irrational Numbers

Rational Numbers

Integers

WholeNumbers

NaturalNumbers


Pyramid

Pyramid

Natural

Whole

Integers

Rational Numbers

Irrational Numbers

Real Numbers


Nesting boxes

Nesting Boxes

Natural

Whole

Integers

Irrational Numbers

Rational Numbers

Real Numbers


Summary

Summary

  • Describe in your own words the difference between rational and irrational numbers

Homework: Worksheet


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