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5 Minute Check Simplify the following in your notebook 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.

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5 Minute Check Simplify the following in your notebook. 24 ÷ 2 12 ÷ 2 6 ÷ ÷ 2 = 18 ÷ 2 = 9 ÷ 3 =

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5 Minute Check Simplify the following in your notebook

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

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

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

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

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5 Minute Check Simplify the following in your notebook. 48 ÷ 2 24 ÷ 2 12 ÷ 2 6 ÷ 2 3 ÷ ÷ 2 = 72 ÷ 2 = 36 ÷ 2 = 18 ÷ 2 = 9 ÷ 3 = 3

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Monday, Sept 8 Lesson Decimals and Fractions

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

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Decimals and Fractions A Rational Number is a real number that can be written as a simple fraction (i.e. as a ratio). Examples = = = 4 4 Can you give an example of a non-rational (irrational) number?

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Decimals and Fractions A Rational Number is a real number that can be written as a simple fraction (i.e. as a ratio). Examples = = = 4 4 Can you give an example of a non-rational (irrational) number? π

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Decimals and Fractions What is 0.25 in word form?

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Decimals and Fractions What is 0.25 in word form? Twenty-five hundredths

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Decimals and Fractions What is 0.15 in word form?

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Decimals and Fractions What is 0.15 in word form? Fifteen hundredths

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Decimals and Fractions What is 2.31 in word form?

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Decimals and Fractions What is 2.31 in word form? Two and thirty-one hundredths

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

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

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

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

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

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

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

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Decimals and Fractions Write 0.28 as a fraction ÷ 4 Twenty eight hundredths = = ÷ 4

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

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

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

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

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

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

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

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Decimals and Fractions Step 2 – Set up an equivalent fraction with a denominator of 10, 100 or 1,000 and solve. ÷3 x = 4 = 100 = 0.75 ÷3 x25 Or cross multiply and divide 3 x 100 ÷ 4 = 75

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

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Decimals and Fractions Step 2 – Divide the top number by the bottom number. ÷3.75 4) = 20 ÷ Reminder – when dividing into a decimal, bring the decimal place straight up and divide as normal.

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

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Decimals and Fractions Write as a decimal. x = 10 = 0.6 x2

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

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Decimals and Fractions Write as a decimal. x = 100 = 0.76 x4

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Decimals and Fractions Write as a decimal. x = 100 = 0.56 x4

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Decimals and Fractions Write as a decimal.. 56

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

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Decimals and Fractions Write as a decimal. x = 1000 = x125

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Decimals and Fractions Write as a decimal )

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

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Decimals and Fractions Write as a decimal. x = 1000 = x4

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Decimals and Fractions Write as a decimal..408

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

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Decimals and Fractions Write 8 as a decimal. x = 1000 = x Don’t forget to put the whole number back in!

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Decimals and Fractions Write 8 as a decimal = 8.525

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

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Decimals and Fractions Would you rather have $1.75 or $1 ? ÷ 6 x =1 5 =1 100 = $1.80 ÷ 6 x20

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

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

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Decimals and Fractions Would you rather have $10.65 or $10 ? ÷ 8 x =10 5 = = $10.60 ÷ 8 x20

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

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Decimals and Fractions Mel is writing 4.28 as a mixed number, Find her mistake and correct it ≠ = = 4 25

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Decimals and Fractions Mel is writing 4.28 as a mixed number, Find her mistake and correct it = = 4 250

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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.

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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.

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

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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 = /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.

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

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