Unit 2. Day 7.

Our Rational Number Story 1. Rational numbers can be written as: 𝑝 𝑞 [𝑝 & 𝑞 𝑎𝑟𝑒 𝑖𝑛𝑡𝑒𝑔𝑒𝑟𝑠] 2. Simplifying rational numbers (fractions) makes them easier to work with and to understand 3. Change rational numbers: fraction  decimal Terminating Decimals: 0.64 RATIONAL Repeating Decimals: 0. 81 RATIONAL Non-terminating, non-repeating decimals: IRRATIONAL 3.141592653589793… 4. Compare/Order Fractions

Today’s Lesson Mixed number  improper fraction Ordering collection of fraction/decimals/mixed

Improper Fractions 4 4 5 4 6 4 1 4 2 4 3 4 7 4 8 4 9 4 10 4 11 4 12 4 1 2 5 2 3 2 2 1 3

Improper Fractions Mixed Number

Improper Fractions Mixed Number . 3 2 5 3 𝑅 1 13 4 3 1 4 4 13 = . 4 13 − 12 − 12 1 1 − 8 2 . 1 𝑅 4 1 8 9 5 1 4 5 = 5 9 5 9 . − − 5 5 4 4 − 40

Improper Fractions Mixed Number

Improper Fractions Mixed Number 4 3 7 2 2 7 31 7 16 7 = = 3 4 5 5 5 6 19 5 35 6 = =

Today’s Lesson Mixed number  improper fraction Ordering collection of fraction/decimals/mixed

Example A: Replace each with <, >, or = to make a true sentence. −2 7 9 − 25 9 − 17 6 − 17 6 > − 50 18 − 51 18 > 9 6 : 9 , 18 , 27 , 36 , 45 , 54 : 6 , 12 , 18 , 24

Example B*: Replace each with <, >, or = to make a true sentence. − 19 6 − 19 6 −3 1 4 − 13 4 > − 38 12 − 39 12 > 6 4 : 6 , 12 , 18 , 24 , 30 , 36 : 4 , 8 , 12 , 16

Example C: Order the numbers from least to greatest. −3 1 4 , −0.76, − 7 8 , − 5 6 , −3.2 −0.76 −3.2 −3 1 4 − 7 8 − 5 6 −3.2 −0.76 . . . −0.875 8 7 2 5 5 −3.25 3 −0.8 3 8 3 3 . . . 4 1 3 8 7 6 5 − − 64 − 1 2 48 1 6 2 − − 56 − 8 18 2 2 4 − − − 40 18 20 2

Example C: Order the numbers from least to greatest. −3 1 4 , −0.76, − 7 8 , − 5 6 , −3.2 − 13 4 − 76 100 − 7 8 − 5 6 − 32 10 − 2∙2∙19 2∙2∙5∙5 − 2∙2∙2∙2∙2 2∙5 − 1950 600 − 456 600 − 525 600 − 500 600 − 1920 600 −3 1 4 − 7 8 − 5 6 −3.2 −0.76 − 19 25 − 16 5