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**5 Minute Check Simplify the following in your notebook. 24 1. 36 2. 54**

27 16 48 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 = 18 ÷ 2 = 9 ÷ 3 = 3 27 16 48

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5 Minute Check Simplify the following in your notebook. 27

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**5 Minute Check Simplify the following in your notebook.**

27 ÷ ÷ ÷ ÷ 3 = 18 ÷3 = 6 ÷ 3 = 2

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

16 ÷ 2 ÷ 2

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**5 Minute Check Simplify the following in your notebook.**

16 ÷ ÷ ÷ ÷ 2 = 12 ÷ 2 = 6 ÷ 2 = 3

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

48 ÷ 2 ÷ 2

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**5 Minute Check Simplify the following in your notebook.**

48 ÷ ÷ ÷ ÷ ÷ ÷ 2 = 72 ÷ 2 = 36 ÷ 2 = 18 ÷ 2 = 9 ÷ 3 = 3

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**Lesson 6.2.1 Decimals and Fractions**

Monday, Sept 8 Lesson Decimals and Fractions

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**Decimals and Fractions**

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 = =

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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

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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 =

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**Decimals and Fractions**

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

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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 . ÷ x25 12 = 4 = 100 = 0.75 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. ÷ 4) 3.00 -28 = ÷ 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

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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

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**Decimals and Fractions**

Write as a decimal. x = 100 = 0.56

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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 = 0.375

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**Decimals and Fractions**

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

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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 = 0.408

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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 = 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 ? ÷ x20 130 =15 =1100 = $1.80 ÷ 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 $ ? ÷ x20 =105 = = $10.60 ÷ 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. 28 4.28 ≠ 4.28 = = 4 25

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**Decimals and Fractions**

Mel is writing 4.28 as a mixed number, Find her mistake and correct it. 4.28 = = 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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5 Minute Check Write each decimal as a fraction or mixed number. 1. 0.3 2. 1.65 Write each fraction as a decimal. 3. 4. 21.

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