Compare and order real numbers Wednesday Sept 9

Compare and order real numbers Wednesday Sept. 9, 2020 Welcome to Dr. Fong’s math class! When I do attendance, you can do the Bell ringer

Compare and order real numbers Bell ringer Solution: 112=121 122=144 132=169 142=196 152=225 162=256 172=289 182=324 192=361 202=400

Reviews These are real numbers:

Compare and order real numbers Perfect squares From previous lesson: Practice Estimate #1 √ 2 : Solution: Since 12 = 1 and 22 = 4, there is no other number between 1 and 2 can be a perfect square. So, estimate √ 2 ≈ 1. 5. Verify 12 =1 22 = 4 32 = 9 42 = 16 52 = 25 62 = 36 72 = 49 82 = 64 92 = 81 102=100 √ 2 = 1. 41421356237…

Compare and order real numbers Perfect squares Example 12 =1 A better estimate for √ 2 : 22 = 4 32 = 9 Solution: 42 = 16 To find a better estimate, choose numbers 52 = 25 between 1 and 2 (not 1 and 2) and square them. 62 = 36 For example, choose 1. 3, 1. 4, and 1. 5. 72 = 49 1. 32 = 1. 69 1. 42 = 1. 96 1. 52 = 2. 25 82 = 64 92 = 81 √ 2 ≈ 1. 45 102=100 Verify √ 2 = 1. 41421356237…

Next practice, write on your notebook, when complete, I’ll ask everyone hold up showing to me in your camera. It will be counted as today’s classwork grade! Thank you!

Compare and order real numbers √ 7 Practice #1 two decimal places. Draw a number line and locate and label your estimate. Estimate Solution: 7 is between 4 and 9, closer to 9, so it’s square root should be between 2 and 3, choose 2. 6, 2. 7 and 2. 8, 2. 62 = 6. 76 2. 72 = 7. 29 2. 82 = 7. 84 Perfect squares 12 =1 22 = 4 32 = 9 42 = 16 52 = 25 62 = 36 72 = 49 82 = 64 92 = 81 102=100

Practice #2 Estimate the value of √ 13 to the nearest 0. 05 without using a calculator. Solution: Since 32 = 9 and 42 = 16, there is no other number between 3 and 4 can be a perfect square. 13 is between 9 and 16, choose 3. 552 = 12. 6025 3. 602 = 12. 96 3. 652 = 13. 3225 So, estimate √ 13 ≈ 3. 60. Verify √ 13 = 3. 6055512754… Perfect squares 12 =1 22 = 4 32 = 9 42 = 16 52 = 25 62 = 36 72 = 49 82 = 64 92 = 81 102=100

Practice #3 = 2. 75 = 2. 76 = 2. 625 = 2. 82 = 2. 77 = 2. 83

Practice #4 ~ 5. 47 – 5. 48 = 5. 63 = 3. 14 + 1. 6 = 4. 74 = 4. 47 + 1 = 5. 47

Continue work on IXL skills: G 8 8 th (D. 5) Identify rational and irrational numbers 8 th (F. 16) Estimate positive square roots 8 th (D. 4) Convert between decimals and fractions or mixed numbers

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