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## 5 Minutes Sponge Page 1 of Sponge Book

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**Table of Contents:DATE: 8/13/2014Title: Writing an equation**to symbolically express the contextual problem**5 MinutesSpongePage 1 of Sponge Book**Freda pays $ 475 for each IPAD she purchases online plus a $25.00 shipping and handling fee. CREATE an equation that will REPRESENT the total cost of the IPADS.**Answer**• 475 (I) +25= C • The (I) represents the number of IPODS purchased and the (C ) represents the total amount paid. Take 2 minutes to consider: • If Freda were to purchase 3 IPADS what would the final cost be?**Take Out Math Notebook**• 5 Seconds**The REAL NUMBER SYSTEM**Ms. A Cherry-Davis Mrs. Vaughan**Two Kinds of Real Numbers**• Rational Numbers • Irrational Numbers**Two Kinds of Real Numbers**• Rational Numbers • Irrational Numbers**Rational Numbers**• A rational number is a number that can be written as a fraction and terminates or repeats**16**1/2 3.56 -8 1.3333… - 3/4 Examples of Rational Numbers**Irrational Numbers**• An irrational number cannot be written as a fraction**Square roots of non-perfect “squares”**Pi Examples of Irrational Numbers 17**Integers**One of the subsets of rational numbers**What are integers?**• Integers are the whole numbers and their opposites. • Examples of integers are 6 -12 0 186 -934**Integers are rational numbers because they can be written as**fraction with 1 as the denominator.**Natural Numbers**• Natural numbers are the set of counting numbers. {1, 2, 3,…}**Whole Numbers**• Whole numbers are the set of numbers that include 0 plus the set of natural numbers. {0, 1, 2, 3, 4, 5,…}**Venn Diagram of the Real Number System**Rational Numbers Irrational Numbers**Use the venn diagram to classify each number**• Classify all the following numbers as natural, whole, integer, rational, or irrational. List all that apply. • 117 • 0 • -12.64039… • -½ • 6.36 • -3**Answer**Rational Numbers Irrational Numbers Integers 6.36 Whole Numbers -12.64039… Natural Numbers -3 0 117**Solution**• Now that all the numbers are placed where they belong in the Venn diagram, you can classify each number: • 117 is a natural number (Counting Number), a whole number, an integer, and a rational number. • is a rational number. ANY NUMBER THAT CAN BE WRITTEN AS A FRACTION • 0 is a whole number, an integer, and a rational number. • -12.64039… is an irrational number. • -3 is an integer and a rational number. • 6.36 is a rational number. • is an irrational number. • is a rational number.