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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

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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 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, )**Irrational Numbers**• Any decimal that does not repeat or terminate.**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 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 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.**Venn Diagram**Real numbers Rational Numbers Integers Whole Irrational Numbers Natural**Real Numbers**Tree Diagram Irrational Numbers Rational Numbers Integers WholeNumbers NaturalNumbers**Pyramid**Natural Whole Integers Rational Numbers Irrational Numbers Real Numbers**Nesting Boxes**Natural Whole Integers Irrational Numbers Rational Numbers Real Numbers**Summary**• Describe in your own words the difference between rational and irrational numbers Homework: Worksheet