Slide 1

5 Minute Check Simplify the following in your notebook. 24 1. 36 27 2. 54 16 3. 24 48 4. 144 Another method to simplify a fraction is divide the fraction by 2 until you cant, then divide by 3 until you cant, then divide by 5 until you cant and so forth. You can try this method or any method you feel comfortable with. Slide 2 5 Minute Check Simplify the following in your notebook. 24 2 12 2 6 3 2 1. 36 2 = 18 2 = 9 3 = 3 27 2. 54 16 3. 24 48 4. 144 Slide 3 5 Minute Check Simplify the following in your notebook. 27 2. 54 Slide 4 5 Minute Check Simplify the following in your notebook. 27 3 9 3 3 3 1 2. 54 3 = 18 3 = 6 3 = 2 Slide 5 5 Minute Check Simplify the following in your notebook. 16 2 3. 24 2 Slide 6 5 Minute Check Simplify the following in your notebook. 16 2 8 2 4 2 2 3. 24 2 = 12 2 = 6 2 = 3 Slide 7 5 Minute Check Simplify the following in your notebook. 48 2 4. 144 2 Slide 8 5 Minute Check Simplify the following in your notebook. 48 2 24 2 12 2 6 2 3 3 1 4. 144 2 = 72 2 = 36 2 = 18 2 = 9 3 = 3 Slide 9 Monday, Sept 8 Lesson 6.2.1 Decimals and Fractions Slide 10 Objective: To write decimals as fractions or mixed numbers and vice versa. Slide 11 Decimals and Fractions A Rational Number is a real number that can be written as a simple fraction (i.e. as a ratio). Examples 1 1 3 1.5 = 1 2 1.333 = 1 3 4.75 = 4 4 Can you give an example of a non-rational (irrational) number? Slide 12 Decimals and Fractions A Rational Number is a real number that can be written as a simple fraction (i.e. as a ratio). Examples 1 1 3 1.5 = 1 2 1.333 = 1 3 4.75 = 4 4 Can you give an example of a non-rational (irrational) number? Slide 13 Decimals and Fractions What is 0.25 in word form? Slide 14 Decimals and Fractions What is 0.25 in word form? Twenty-five hundredths 0. 2 5 Slide 15 Decimals and Fractions What is 0.15 in word form? Slide 16 Decimals and Fractions What is 0.15 in word form? Fifteen hundredths 0. 1 5 Slide 17 Decimals and Fractions What is 2.31 in word form? Slide 18 Decimals and Fractions What is 2.31 in word form? Two and thirty-one hundredths 2. 3 1 Slide 19 Decimals and Fractions Write.45 as a fraction. Writing a Decimal as a Fraction. Slide 20 Decimals and Fractions Step 1 Use the Place Value Chart to determine the word form.. 4 5 Forty-five hundredths Slide 21 Decimals and Fractions Step 2 Write the decimal as a fraction using the last place value as the denominator.. 4 5 Forty-five hundredths = Slide 22 Decimals and Fractions Step 3 Simplify, if necessary. 5 Forty-five hundredths = = 5 Slide 23 Decimals and Fractions Write 0.8 as a fraction. Do this on your own. Slide 24 Decimals and Fractions Write 0.8 as a fraction. 2 0. 8 Eight tenths = = 2 Slide 25 Decimals and Fractions Write 0.28 as a fraction. Do this on your own. Slide 26 Decimals and Fractions Write 0.28 as a fraction. 0. 2 8 4 Twenty eight hundredths = = 4 Slide 27 Decimals and Fractions Write 2.75 as a fraction. Do this on your own. Slide 28 Decimals and Fractions Write 2.75 as a fraction. 2. 7 5 25 Two and seventy five hundredths = 2 = 2 25 Slide 29 Decimals and Fractions Write 5.13 as a fraction. Do this on your own. Slide 30 Decimals and Fractions Write 5.13 as a fraction. 5. 1 3 Two and seventy five hundredths = 5 Slide 31 Decimals and Fractions Write as a decimal. Writing a Fraction as a Decimal. Method 1 Step 1 Simplify, if possible. Slide 32 Decimals and Fractions Step 1 Simplify, if possible. 3 = 3 Slide 33 Decimals and Fractions Step 2 Set up an equivalent fraction with a denominator of 100 and solve. 3 9 3 ? 12 = 4 = 100 3 Slide 34 Decimals and Fractions Step 2 Set up an equivalent fraction with a denominator of 10, 100 or 1,000 and solve. 3 x25 9 3 75 12 = 4 = 100 = 0.75 3 x25 Or cross multiply and divide 3 x 100 4 = 75 Slide 35 Decimals and Fractions Write as a decimal. Writing a Fraction as a Decimal. Method 2 Step 1 Simplify, if possible. Slide 36 Decimals and Fractions Step 2 Divide the top number by the bottom number. 3.75 4) 3.00 -28 = 20 3 -20 0 Reminder when dividing into a decimal, bring the decimal place straight up and divide as normal. Slide 37 Decimals and Fractions Write as a decimal. Do this on your own. Slide 38 Decimals and Fractions Write as a decimal. x2 3 6 5 = 10 = 0.6 x2 Slide 39 Decimals and Fractions Write as a decimal. Do this on your own. Slide 40 Decimals and Fractions Write as a decimal. x4 14 76 25 = 100 = 0.76 x4 Slide 41 Decimals and Fractions Write as a decimal. x4 14 56 25 = 100 = 0.56 x4 Slide 42 Decimals and Fractions Write as a decimal.. 56 Slide 43 Decimals and Fractions Write as a decimal. Do this on your own. Slide 44 Decimals and Fractions Write as a decimal. x125 3 375 8 = 1000 = 0.375 x125 Slide 45 Decimals and Fractions Write as a decimal. 0.375 8) 3.00 -24 60 -56 40 -40 0 Slide 46 Decimals and Fractions Write as a decimal. Do this on your own. Slide 47 Decimals and Fractions Write as a decimal. x4 102 408 250 = 1000 = 0.408 x4 Slide 48 Decimals and Fractions Write as a decimal..408 Slide 49 Decimals and Fractions Write 8 as a decimal. Do this on your own. Slide 50 Decimals and Fractions Write 8 as a decimal. x25 21 525 40 = 1000 = 0.525 x25 8.525 Dont forget to put the whole number back in! Slide 51 Decimals and Fractions Write 8 as a decimal. 8 +.525 8 + = 8.525 Slide 52 Decimals and Fractions Would you rather have $1.75 or $1 ? Do this on your own. Slide 53 Decimals and Fractions Would you rather have $1.75 or $1 ? 6 x20 24 4 80 1 30 =1 5 =1 100 = $1.80 6 x20 Slide 54 Decimals and Fractions Would you rather have $1.75 or $1 ? $1 = $1 + $.8 = $1 + $ = $1 + $.8 = $1.8 Slide 55 Decimals and Fractions Would you rather have $10.65 or $10 ? Do this on your own. Slide 56 Decimals and Fractions Would you rather have $10.65 or $10 ? 8 x20 24 3 60 10 40 =10 5 =10 100 = $10.60 8 x20 Slide 57 Decimals and Fractions Would you rather have $10.65 or $10 ? $1 = $10 + $.6 = $10 + $ = $10 + $.6 = $10.6 Slide 58 Decimals and Fractions Mel is writing 4.28 as a mixed number, Find her mistake and correct it. 28 4.28 4 1000 28 7 4.28 = 4 100 = 4 25 Slide 59 Decimals and Fractions Mel is writing 4.28 as a mixed number, Find her mistake and correct it. 28 7 4.28 = 4 1000 = 4 250 Slide 60 Decimals and Fractions Decide whether the following statement is always, sometimes or never true. Explain your reasoning. Any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by both 2 and 5. Slide 61 Decimals and Fractions Any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by both 2 and 5. This is always true. Since a decimal that ends in the thousandths place has a denominator of 1,000 and 1,000 is divisible by both 2 and 5. Slide 62 Decimals and Fractions Write a fraction with a decimal value between and . Write both the fraction and the equivalent decimal. Slide 63 Decimals and Fractions Write a fraction with a decimal value between and . Write both the fraction and the equivalent decimal. Sample answer: 5/8 = 0.625 8/12 = 2/3 = 0.66 One simple way to do this is to scale up the larger fraction and take one away from the numerator. Slide 64 Decimals and Fractions Agenda Notes Homework Homework Practice 6.2.1 Due Tuesday, Sept 9 Mid-Chapter Quiz Thursday, Sept 11