Do Now 3/1/11 Copy HW in your planner. –Text p. 222, #1-4 all, 14-17 all, 36-42 evens, 50-56 evens Open your notebook to a new page and put the following.

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Do Now 3/1/11 Copy HW in your planner. –Text p. 222, #1-4 all, all, evens, evens Open your notebook to a new page and put the following heading on the top of the page. Section 5.1 “Rational Numbers”

Chapter 5 “Rational Numbers and Equations” Section 5.1 “Rational Numbers” Section 5.2 “Adding and Subtracting Like Fractions” Section 5.3 “Adding and Subtracting Unlike Fractions” Section 5.4 “Multiplying Fractions” Section 5.5 “Dividing Fractions”

Objective SWBAT write decimals as fractions.

WHOLE NUMBER a number that is whole (no decimal) and positive. 0, 1, 2, 3, … Remember This???

INTEGER all whole numbers and their opposites. … -3, -2, -1, 0, 1, 2, 3, … Remember This???

Section 5.1, “Rational Numbers” A RATIONAL NUMBER is a number that can be written as a quotient of two integers (a fraction). Numbers that cannot be written as a fraction are called IRRATIONAL. RATIONAL NUMBERS IRRATIONAL NUMBERS

“Rational Numbers” Rational Numbers Integers Whole Numbers 0,1,2,3,4,5… 0,1,2,3,4,5… Integers Integers -3,-2,-1, 0,1,2,3… Rational Numbers Rational Numbers numbers that can numbers that can represented as a ratio or fraction Whole Numbers

D F raction ecimal

Decimals = Fractions “Part or a portion of the WHOLE” 4 tenths D F

Writing Decimals as Fractions Say the decimal number in words. Write the decimal words as a fraction, simplify if necessary. 0.71“seventy-onehundredths” “four-tenths” = D F

Writing Decimals as Fractions Write the following decimal as fraction How do you say this? “Forty-five hundredths” Simplify D F

Writing Decimal Numbers As Mixed Numbers Rewrite the decimal number as a sum. Write the decimal as a fraction. 1 “Fifteenhundredths” Simplify D F

Writing Decimal Numbers As Mixed Numbers Rewrite the decimal number as a sum. Write the decimal as a fraction. -3 “Two-tenths” (3 ) 15 Simplify D F

Practice When writing a decimal as a fraction, say and write the fraction. Then simplify the fraction by dividing common factors

Writing Decimals as Fractions Write the following decimal as a fraction For repeating decimals use the following strategy: Simplify, if possible If there are two repeating digits in the decimal, place the digits over … If there is one repeating digit in the decimal, place the digit over 9. If there are three repeating digits in the decimal, place the digits over 999. D F

Writing Decimals as Fractions Write the following decimal as a fraction For repeating decimals use the following strategy: Simplify, If possible … If there are three repeating digits in the decimal, place the digits over 999. D F

Practice When writing a repeating decimal as a fraction, say and write the fraction over ‘9’. For every repeating digit, use that many ‘9’s in the denominator. Then simplify the fraction by dividing common factors

Writing Decimals as Fractions Decimal numbers can be one of the following: 1) terminating 2) repeating (follows a pattern) 3) nonrepeating (goes on forever without a pattern) rational irrational D F

Homework –Text p. 222, #1-4 all, all, evens, evens