POD 2 basic advanced 3 ÷ 8 = 15 ÷ 12 =

Fractions and Decimals Our decimal system is based on powers of ten such as 10, 100, and 1,000.

If the denominator of a fraction is a factor of 10, 100, 1000, or any greater power of ten, you can use mental math and place value. Ex: 74 100 = 0.74 7 20 35 100 = = 0.35

If the denominator is not a factor or multiple of a power of ten, you can divide the numerator by the denominator. Ex: 3 8

Sometimes your answer will be a repeating decimal Sometimes your answer will be a repeating decimal. Repeating decimals can be written using bar notation 7 9

When writing a decimal as a fraction, use the place value of the final digit as the denominator Ex: 0.15 =

Whiteboard time: Write the fraction as a decimal 1 8

Whiteboard time: Write the fraction as a decimal - 5 9

Whiteboard time: Write the decimal as a fraction 0.12

POD 3 Convert the fraction into a decimal, or the decimal into a fraction basic advanced 1.64 1 ⅘ 1 16/25 1.8

Compare and Order Rational Numbers A rational number is a number that can be expressed as a ratio of two integers written as a fraction, in which the denominator is not zero. Common fractions, terminating and repeating decimals, percents, and integers are all rational numbers.

Not all numbers are rational Not all numbers are rational. The Greek letter π (pi) represents a non-repeating, non-terminating number whose first few digits are 3.14… This number is an irrational number

Whiteboard time: Write the decimal as a fraction 2.54 2 27/50

3/20 What fraction of the fish are Goldfish? fish amount Guppy 0.25 Angelfish 0.4 Goldfish 0.15 Molly 0.2 What fraction of the fish are Goldfish? 3/20

1/4 What fraction of the fish are Guppies? fish amount Guppy 0.25 Angelfish 0.4 Goldfish 0.15 Molly 0.2 What fraction of the fish are Guppies? 1/4

Shania beat the school record for the 400-meter hurdles by 38 hundredths of a second. Write 38 hundredths as a decimal and as a fraction in simplest form. 0.38 19/50

Lynn lives 6 8/20 miles from the YMCA. Write the distance as a decimal.

Let’s try some on our own: Practice A (evens)/Puzzle time A (all)

POD 4 Draw the number line below, then plot the rational numbers from least to greatest. - 6 2 , 3.75 , 4 4 , 8 4 , 0 , -4.5 4 4 8 4 - 6 2 -4.5 3.75

Take out last nights HW: Practice A (evens)/Puzzle time A (all)

Let’s keep practicing: Practice B worksheet