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Take Fractions out a Calculator! Write each improper fraction as a mixed number. 1.) 32 2.) 40 3.) 11 5 3 7 Write each mixed number as and improper fraction. 4.) 3 2/5 5.) 9 ¼ 6.) 2 1/8 Correct Homework • If you did not write your full name, date, and period on your paper take off 1 point. • Take off 1 point for every problem you did NOT do. • If you did the entire assignment and showed your work give yourself a 10. • Take out your red pen to make homework corrections. • If you only did once side of your homework you get half credit 5 out of 10. • Put your score on your paper out of 10. For Learning to Happen! •Take out a calculator. •Remove all other thoughts from your mind. •Pay close attention to this lesson. •Try all of the examples. •Ignore all other distractions. Number Systems Repeating Decimal Terminating Decimal Change a Fraction to a Decimal Change a Decimal to a Fraction TAKE OUT A CALCULATOR REVIEW NUMBER SYSTEMS Natural Numbers - Natural counting numbers. 1, 2, 3, 4 … Whole Numbers - Natural counting numbers and zero. 0, 1, 2, 3 … Integers - Whole numbers and their opposites. … -3, -2, -1, 0, 1, 2, 3 … Rational Numbers - Integers, fractions, and decimals. 2 2 Ex: , -0.8 , 2.39, 14 , -3 3 5 Rational Numbers - Any number that 2 5 can be written as a , 4 5 7 fraction. 7 , 18 18 0.007 1000 1 Fractions/Decimals Integers 7 ,3.04 1 ... 3,2,1, 0, 1, 2, 3... 5.9, , 1 8 2 Negative Integers Wholes ... 3,2,1 0, 1, 2, 3... Zero Naturals 0 1, 2, 3... Venn Diagram Rationals 6.7 0.8 Integers 5 11 Wholes 5 3 0 2 9 7 Naturals 1, 2, 3... Rational Numbers Rational numbers that can be written as decimals are described as either REPEATING DECIMALS or TERMINATING DECIMALS. Terminating Decimal Decimal Is a decimal that stops. The decimal terminates if you reach a remainder of zero when you s 1 0.5 divide. 2 Repeating Decimal Is a decimal that shows a pattern of repeating digits. 4 0.36 11 What type of decimal is this? 0.6 Terminating 0.46464646 Repeating 0.75 Terminating 0.3842 Terminating 0.3333333 Repeating Decimal Place Value “and” Decimals are read as 4 3 1 6 2 ___ ___ ___ ___ ___ ___ ___ , ___ Ten Thousandths Thousandths Thousands Hundredths Ones Tens Tenths Hundreds Read as 243 and 16 hundredths Decimal Place Value 2 3 8 4 ___ ___ ___ ___ ___ , ___ ___ ___ Ten Thousandths Thousandths Thousands Hundredths Ones Tens Tenths Hundreds Read as 4 and 238 thousandths Decimal Place Value 9 0 1 3 2 ___ ___ ___ ___ ___ ___ , ___ ___ Ten Thousandths Thousandths Thousands Hundredths Ones Tens Tenths Hundreds Read as 29 and 13 thousandths Decimal Place Value 0 0 0 1 0 ___ ___ ___ ___ ___ , ___ ___ ___ Ten Thousandths Thousandths Thousands Hundredths Ones Tens Tenths Hundreds Read as 1 ten thousandths How do we say this decimal? 0.6 Six Tenths It is written as the fraction 6/10 How do we say this decimal? 0.3 Three Tenths It is written as the fraction 3/10 How do we say this decimal? 0.52 Fifty Two Hundredths It is written as the fraction 52/100 How do we say this decimal? 0.31 Thirty One Hundredths It is written as the fraction 31/100 How do we say this decimal? 0.410 Four Hundred and Thousandths It is written as the fraction 410/1000 How do we say this decimal? 0.381 Three Hundred and Eighty One Thousandths It is written as the fraction 381/1000 To A Fraction: Read the decimal using the correct place value. How you say it determines the fraction. 2 0.2 10 Two tenths Change These Decimals To Fractions REDUCE Your Answer If Possible DECIMAL FRACTION 50 1 0.50 100 2 8 4 0.8 10 5 3 0.003 1000 79 0.79 100 0.3331 3331 10, 000 To a Decimal: Divide the numerator by the denominator. Divide the numerator by the denominator. .8 4 4 5 40 0.8 5 40 5 0 Divide the numerator by the denominator. .75 3 3 4 3 00 0.75 4 28 4 20 20 0 Divide the numerator by the denominator. .33 1 1 3 1 00 0.3 3 9 3 10 9 1 Divide the numerator by the denominator. .6 3 3 5 30 0.6 5 30 5 0 Converting Fractions and Decimals Fraction Decimal 0 37 5 3 0.375 8 3.000 8 means 3 8 375 125 3 1000 125 8 0.375 Say it correctly! Complete the table. Fraction Decimal 4 0.8 5 3 0.03 100 7 0.35 20 6 7 6.7 10 1 9.125 9 8 Repeating Decimals Fraction Decimal 1 0 333... 3 1.000 0.3 3 means 1 3 0.33 Every rational number (fraction) either terminates or repeats when written as a decimal. Repeating Decimals Fraction Decimal 5 0 4 54 54 ... 11 5.00000 0.454 11 means 5 11 0.454 0.45 Repeating Decimals Fraction Decimal 5 0 8 33... 6 5.000 0.83 6 means 5 6 0.833 0.83 Repeating Decimals Fraction Decimal 5 0 41 6 6 ... 12 5.0000 0.416 12 means 5 12 REMEMBER: To Always Show Your Work Take out your study guide!!! #4Decimal Terminating Decimal s Is a decimal that stops. The decimal terminates if you reach a remainder of zero when you divide. 1 0.5 2 Repeating Decimal Is a decimal that shows a pattern of repeating digits. 4 0.36 11 #5 Decimal Place Value “and” Decimals are read as 4 3 1 6 2 ___ ___ ___ ___ ___ ___ ___ , ___ Ten Thousandths Thousandths Thousands Hundredths Ones Tens Tenths Hundreds Read as 243 and 16 hundredths #6 To A Fraction: Read the decimal using the correct place value. How you say it determines the fraction. 2 0.2 10 Two tenths #7 To a Decimal: Divide the numerator by the denominator. .75 3 3 4 3 00 0.75 4 28 4 means 3 4 20 20 0 Name___________ Sept 16, 2009 Period___ Pg. 68 #1-18 and 27-44 All Calculator allowed but write all problems down for full credit!

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posted: | 4/12/2012 |

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