5 Minute Check Simplify the following in your notebook. 24 1. 36 2. 54 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 can’t, then divide by 3 until you can’t, then divide by 5 until you can’t and so forth. You can try this method or any method you feel comfortable with.

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

5 Minute Check Simplify the following in your notebook. 27 2. 54

5 Minute Check Simplify the following in your notebook. 27 ÷ 3 9 ÷ 3 3 ÷ 3 1 2. 54 ÷ 3 = 18 ÷3 = 6 ÷ 3 = 2

5 Minute Check Simplify the following in your notebook. 3. 24 ÷ 2 16 ÷ 2 3. 24 ÷ 2

5 Minute Check Simplify the following in your notebook. 16 ÷ 2 8 ÷ 2 4 ÷ 2 2 3. 24 ÷ 2 = 12 ÷ 2 = 6 ÷ 2 = 3

5 Minute Check Simplify the following in your notebook. 4. 144 ÷ 2 48 ÷ 2 4. 144 ÷ 2

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

Lesson 6.2.1 Decimals and Fractions Monday, Sept 8 Lesson 6.2.1 Decimals and Fractions

Decimals and Fractions Objective: To write decimals as fractions or mixed numbers and vice versa.

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?

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? π

Decimals and Fractions What is 0.25 in word form?

Decimals and Fractions What is 0.25 in word form? Twenty-five hundredths 0 . 2 5

Decimals and Fractions What is 0.15 in word form?

Decimals and Fractions What is 0.15 in word form? Fifteen hundredths 0 . 1 5

Decimals and Fractions What is 2.31 in word form?

Decimals and Fractions What is 2.31 in word form? Two and thirty-one hundredths 2 . 3 1

Decimals and Fractions Write .45 as a fraction. Writing a Decimal as a Fraction.

Decimals and Fractions Step 1 – Use the Place Value Chart to determine the word form. . 4 5 Forty-five hundredths

Decimals and Fractions Step 2 – Write the decimal as a fraction using the last place value as the denominator. . 4 5 Forty-five hundredths =

Decimals and Fractions Step 3 – Simplify, if necessary. ÷5 Forty-five hundredths = =

Decimals and Fractions Write 0.8 as a fraction. Do this on your own.

Decimals and Fractions Write 0.8 as a fraction. ÷2 0 . 8 Eight tenths = = ÷2

Decimals and Fractions Write 0.28 as a fraction. Do this on your own.

Decimals and Fractions Write 0.28 as a fraction. 0 . 2 8 ÷ 4 Twenty eight hundredths = = ÷ 4

Decimals and Fractions Write 2.75 as a fraction. Do this on your own.

Decimals and Fractions Write 2.75 as a fraction. 2 . 7 5 ÷25 Two and seventy five hundredths = 2 = 2

Decimals and Fractions Write 5.13 as a fraction. Do this on your own.

Decimals and Fractions Write 5.13 as a fraction. 5 . 1 3 Two and seventy five hundredths = 5

Decimals and Fractions Write as a decimal. Writing a Fraction as a Decimal. Method 1 Step 1 – Simplify, if possible.

Decimals and Fractions Step 1 – Simplify, if possible. ÷3 =

Decimals and Fractions Step 2 – Set up an equivalent fraction with a denominator of 100 and solve . ÷3 9 3 ? 12 = 4 = 100

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 Or cross multiply and divide 3 x 100 ÷ 4 = 75

Decimals and Fractions Write as a decimal. Writing a Fraction as a Decimal. Method 2 Step 1 – Simplify, if possible.

Decimals and Fractions Step 2 – Divide the top number by the bottom number. ÷3 .75 4) 3.00 -28 = 20 ÷3 -20 Reminder – when dividing into a decimal, bring the decimal place straight up and divide as normal.

Decimals and Fractions Write as a decimal. Do this on your own.

Decimals and Fractions Write as a decimal. x2 3 6 5 = 10 = 0.6

Decimals and Fractions Write as a decimal. Do this on your own.

Decimals and Fractions Write as a decimal. x4 14 76 25 = 100 = 0.76

Decimals and Fractions Write as a decimal. x4 14 56 25 = 100 = 0.56

Decimals and Fractions Write as a decimal. .56

Decimals and Fractions Write as a decimal. Do this on your own.

Decimals and Fractions Write as a decimal. x125 3 375 8 = 1000 = 0.375

Decimals and Fractions Write as a decimal. 0.375 8) 3.00 -24 60 -56 40 -40

Decimals and Fractions Write as a decimal. Do this on your own.

Decimals and Fractions Write as a decimal. x4 102 408 250 = 1000 = 0.408

Decimals and Fractions Write as a decimal. .408

Decimals and Fractions Write 8 as a decimal. Do this on your own.

Decimals and Fractions Write 8 as a decimal. x25 21 525 40 = 1000 = 0.525 8.525 Don’t forget to put the whole number back in!

Decimals and Fractions Write 8 as a decimal. 8 + .525 8 + = 8.525

Decimals and Fractions Would you rather have $1.75 or $1 ? Do this on your own.

Decimals and Fractions Would you rather have $1.75 or $1 ? ÷ 6 x20 24 4 80 130 =15 =1100 = $1.80 ÷ 6 x20

Decimals and Fractions Would you rather have $1.75 or $1 ? $1 = $1 + $ .8 = $1 + $ = $1 + $.8 = $1.8

Decimals and Fractions Would you rather have $10.65 or $10 ? Do this on your own.

Decimals and Fractions Would you rather have $10.65 or $10 ? ÷ 8 x20 24 3 60 10 40 =105 =10100 = $10.60 ÷ 8 x20

Decimals and Fractions Would you rather have $10.65 or $10 ? $1 = $10 + $ .6 = $10 + $ = $10 + $.6 = $10.6

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

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

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.

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.

Decimals and Fractions Write a fraction with a decimal value between ½ and ¾ . Write both the fraction and the equivalent decimal.

Decimals and Fractions Write a fraction with a decimal value between ½ and ¾ . 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.

Decimals and Fractions Agenda Notes Homework – Homework Practice 6.2.1 Due Tuesday, Sept 9 Mid-Chapter Quiz Thursday, Sept 11