Unit 2. Day 5.

Please get out paper for today’s lesson Name Date Period -------------------------------------------------------- Topic: Comparing & Ordering rational numbers 7.NS.A.2.d Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

Today’s Lesson Comparing & Ordering Rational Numbers a) Decimals b) Fractions

Example A: Use <, >, 𝑜𝑟= to compare each pair of decimals. > 0.36 0.329

Example B: Use <, >, 𝑜𝑟= to compare each pair of decimals. > −16.117 −16.171

Example C: Use <, >, 𝑜𝑟= to compare each pair of decimals. = 25.72 25.720

Use <, >, 𝑜𝑟= to compare each pair of decimals. −0.108 −0.10800 = Example D: 0.4 3 0.4 31 3 3 > 3 1 Example E: −1.80111 −1.80101 < Example F:

Today’s Lesson Comparing & Ordering Rational Numbers a) Decimals b) Fractions

Example G: Replace each with <, >, or = to make a true sentence. − 5 8 − 7 12 − 5 8 − 7 12 < − 14 24 − 15 24 < 8 12 . − . 6 2 5 − 5 8 3 . 5 : 8 . 12 7 8 , 16 , 24 , 32 , 40 , 48 − 48 − 60 2 10 − 16 − 96 : 4 4 12 , 24 , 36 , 48 − 40 − 36 4

Replace each with <, >, or = to make a true sentence. 5 7 3 4 Example H*: − 7 8 − 11 13 Example I*:

Example H*: Replace each with <, >, or = to make a true sentence. 5 7 3 4 5 7 3 4 < 20 28 21 28 < 7 4 . . 7 1 4 7 5 . . : 7 5 4 3 7 , 14 , 21 , 28 − 49 − 2 8 1 2 − 7 − 20 : 3 4 , 8 , 12 , 16 , 20 , 24 , 28 − 28 2

Example I*: Replace each with <, >, or = to make a true sentence. − 7 8 − 11 13 − 7 8 − 11 13 < − 91 104 − 88 104 < 8 13 . − . 8 7 5 − 8 4 6 . 7 . : 8 13 11 8 , 16 , 24 , 32 , 40 , 48 , 56 − 64 − 104 64 , 72 , 80 , 88 , 96 , 104 6 6 − 56 − 52 : 4 8 13 , 26 , 39 , 52 , 65 , 78 , − 40 − 78 91 , 104 2

Comparing Fractions Ordering Fractions 5 9 7 12 > < > < = 2 3 , 9 13 , 1 2 , 5 8 2 3 9 13 1 2 5 8 5 9 7 12 > < > < = =

Example J: Order the fractions from least to greatest. − 1 2 , − 9 14 , − 3 4 , − 5 7 − 1 2 − 9 14 − 3 4 − 5 7 −0.5 −0.642 −0.75 −0.714 . . . . 5 6 4 2 7 5 7 1 4 . . . . 2 1 14 9 4 3 7 5 − 10 − 84 − 28 − 49 6 2 1 − − − 56 20 7 4 3 − 28 − 28 12 2

Example J: Order the fractions from least to greatest. − 1 2 − 1 2 , − 9 14 ,− 3 4 ,− 5 7 − 9 14 − 3 4 − 5 7 − 3 4 − 5 7 − 9 14 − 1 2 2 14 4 7 − 14 28 − 18 28 − 21 28 − 20 28 : 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28 : 14 , 28 , 42 , 56 : 4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 : 7 , 14 , 21 , 28

Example K*: Order the fractions from least to greatest. − 5 6 , − 7 8 ,− 9 12 ,− 11 16 − 5 6 − 7 8 − 9 12 − 11 16 −0.833 −0.875 −0.75 −0.687 . . . . 8 3 3 8 7 5 7 5 6 8 7 . . . . 6 5 8 7 12 9 16 11 − 48 − 64 − 84 − 96 2 6 6 14 − − 18 − − 56 60 128 2 4 12 − 18 − 40 − 112 2 8

Example K*: Order the fractions from least to greatest. − 5 6 − 5 6 , − 7 8 ,− 9 12 ,− 11 16 − 7 8 − 9 12 − 11 16 6 8 12 16 − 7 8 − 5 6 − 9 12 − 11 16 − 40 48 − 42 48 − 36 48 − 33 48 : 6 , 12 , 18 , 24 , 30 , 36 , 42 , 48 , 54 , 60 , 66 , 72 , 78 , 84 : 8 , 16 , 24 , 32 , 40 , 48 , 56 , 64 , 72 , 80 , 88 , 96 : 12 , 24 , 36 , 48 , 60 , 72 , 84 , 96 , 108 : 16 , 32 , 48 , 64