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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.

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Presentation on theme: "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."— Presentation transcript:

1 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.

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

3 5 Minute Check Simplify the following in your notebook

4 5 Minute Check Simplify the following in your notebook. 27 ÷ 3 9 ÷ 3 3 ÷ ÷ 3 = 18 ÷3 = 6 ÷ 3 = 2

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

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

7 5 Minute Check Simplify the following in your notebook. 48 ÷ ÷ 2

8 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

9 Monday, Sept 8 Lesson Decimals and Fractions

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

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 = = = 4 4 Can you give an example of a non-rational (irrational) number?

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 = = = 4 4 Can you give an example of a non-rational (irrational) number? π

13 Decimals and Fractions What is 0.25 in word form?

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

15 Decimals and Fractions What is 0.15 in word form?

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

17 Decimals and Fractions What is 2.31 in word form?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

34 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

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

36 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.

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

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

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

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

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

42 Decimals and Fractions Write as a decimal.. 56

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

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

45 Decimals and Fractions Write as a decimal )

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

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

48 Decimals and Fractions Write as a decimal..408

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

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

51 Decimals and Fractions Write 8 as a decimal = 8.525

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

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

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

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

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

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

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

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

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.

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.

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

63 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.

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


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