# 5 Minute Check Simplify the following in your notebook

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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.

5 Minute Check Simplify the following in your notebook.
24 ÷ ÷ ÷ ÷ 2 = 18 ÷ 2 = 9 ÷ 3 = 3 27 16 48

5 Minute Check Simplify the following in your notebook. 27

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

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

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

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

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

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

Decimals and Fractions
What is 0.15 in word form?

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

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

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 Forty-five hundredths

Decimals and Fractions
Step 2 – Write the decimal as a fraction using the last place value as the denominator 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. ÷ 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 ÷ 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 ÷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 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 ? 12 = 4 = 100

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

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. ÷ 4) 3.00 -28 = ÷ 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. x = 10 = 0.6

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

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

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

Decimals and Fractions
Write 8 as a decimal = 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 ? ÷ x20 130 =15 =1100 = \$1.80 ÷ 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 \$ ? ÷ x20 =105 = = \$10.60 ÷ 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 ≠ 4.28 = = 4 25

Decimals and Fractions
Mel is writing 4.28 as a mixed number, Find her mistake and correct it. 4.28 = = 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 = /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 Due Tuesday, Sept 9 Mid-Chapter Quiz Thursday, Sept 11