Lesson 7.1 Unit 7 Homework Key - MMS 8th Grade Math

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Unit 7 Homework KeyLesson 7.1Identify which of the following numbers are rational or irrational.31. 252. 243. 364. 645. tional7. 0.458. 0. 2̅9. 4910. 1811. ational̅̅̅14. 0. ̅4215. 0.3916. 10017. 1618. Rational8112119. If the number 0.77 is displayed on a calculator that can only display ten digits, do we know whether it isrational or irrational? In one complete sentence explain why.Rational because it terminates (or repeats the digit zero).20. If the number 0.123456789 is displayed on a calculator that can only display ten digits, do we know whetherit is rational or irrational? In one complete sentence explain why.We don’t know. The decimal could repeat later making it rational or could never repeat making it irrational.21. If the number 0.987098709 is displayed on a calculator that can only display ten digits, do we know whetherit is rational or irrational? In one complete sentence explain why.Our best guess is that it is rational because there appears to be a pattern, but we can’t be sure.22. If the number 0.425364758 is displayed on a calculator that can only display ten digits, do we know whetherit is rational or irrational? In one complete sentence explain why.We don’t know. The decimal could repeat later making it rational or could never repeat making it irrational.1

Lesson 7.2Convert the following fractions to repeating decimals.1.7150.46̅7.11120.916̅2.230. 6̅8.130. 3̅3.790. 7̅9.560.83̅4.105.33̅̅̅̅0. 3010.16.90. 1̅511.11̅̅̅̅0. 45211̅̅̅̅0. 18112.67180.16̅0.38̅Convert the following repeating decimals to fractions.13. 0. 2̅14. 0.15̅15. 0.36̅16. 0.48̅17. 1.23̅18. 1. 5̅27112237714945304530309̅̅̅̅19. 0. 81̅̅̅̅20. 0. 35̅̅̅̅21. 0.215̅̅̅̅22. 0.123̅̅̅̅23. 1. 16̅̅̅̅24. 3. 25163229999𝑜𝑟 193571611151199330495992𝑜𝑟 1𝑜𝑟 159𝑜𝑟 32599

Lesson 7.3Find both square roots of the given numbers.1. 492. 643. 254. 165. 16. 121 7 8 5 4 1 117. 98. 1969. 62510. 411. 3612. 81 3 14 25 2 6 9Evaluate the following roots giving the principal root.13. 8114. 10015. 3616. 49 106𝑛𝑜 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛17. 14418. 22519. 16920. 40012 15 132021. 90022. 2723. 12524. 1 30 351333333325. 126. 6427. 21628. 8 1 462333329. 100030. 2731. 2732. 1 103 3 13

Approximate the following irrational numbers to the nearest whole number.33. 2834. 1435. 3936. 5637. 7738. 18 5 4 6 7 9 439. 240. 4141. 2142. 6543. 1244. 120 1 6 5 8 3 1145. 846. 1347. 3248. 4749. 9950. 5 3 4 6 7 10 2Approximate the following irrational numbers to one decimal place.51. 3052. 1053. 4054. 1755. 10156. 7 5.5 3.2 6.3 4.1 10.0 2.657. 358. 9059. 3560. 1161. 2262. 61 1.7 9.5 5.9 3.3 4.7 7.863. 5064. 665. 6766. 14067. 5568. 45 7.1 2.4 8.2 11.8 7.4 6.74

Lesson 7.4Place a point on the number line given for each of the following irrational numbers.1. Point A: 22. Point B: 171.0 1.5 2.0A6. Point V: 26E3. Point C: 112.5 3.0D C 3.57. Point W: 885.0 5.5 6.0V ZY4.0B 4.54. Point D: 85.0 5.58. Point X: 776.5 7.07.5 8.05. Point E: 59. Point Y: 3710. Point Z: 308.5 9.0 9.5XWName the point on the number line associated with each irrational number.11. 5012. 10313. 6214. 9015. 37EADCBBEDCA6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 10.0 10.516. 717. 2218. 3419. 3820. 15BADCEB2.0 2.5 3.0EA3.5 4.0 4.5 5.05CD5.5 6.0 6.5

Compare the following numbers using or .21. 32 5.125. 99 22. 38 28 4226. 17 4.5329. 16 3.930. 2 74923. 17 27.43524. 49 7.12 6531. 50 28. 12 211532. 9 3.012List the following numbers in order from least to greatest.33. 16, 4.2, 16, 4.2,3934. 24, 33,5.1839 24, 5.1, 33835. 100, 110,3236. 9.4 ,732737. 35, 32, 37, 32, 35, 37,22192 10, 3.5, 15,33737 25, 26, 5.3,4, 9, 12, 15, 4.313313340. 39, 25, 5.3, 26,441. 12, 15, 4.3, 9,5, 8038. 10, 3.5, 15,32239. 65, 60, 8.5,142 80, 9.4 ,, 100, 110 60, 65, 8.5,1914564234, 3942. 49, 63, 7.3, 38, 38, 49, 7.3,23152, 63152

Lesson 7.5Estimate the following expressions to the nearest whole number.1. 8 182. 11 803. 4 484. 3 24 35. 2 35 3 8 7 2 28 18 36. 14 267. 120 78. 2 639. 4 15 510. 2 66 3 5 9 4 16 11 1011. 9 1012. 20 10213. 2 1514. 3 15 115. 4 24 3 3 6 10 8 13 1416. 14 3417. 105 918. 5 2619. 2 83 820. 3 17 2 1 10 1 25 10 1021. 47 822. 8 4823. 7 1024. 4 5 925. 3 24 5 5 10 1 21 17 526. 65 6327. 100 228. 6 529. 2 26 330. 4 26 3 4 16 8 12 7 147

Rational Rational Rational Irrational Irrational Rational 13. 2 13 14. 0.42̅̅̅̅ 15. 0.39 16. 100 17. 16 18. 43 Rational Rational Rational Rational Rational Irrational 19. If the number 0.77 is displayed on a calculator that can only display ten digits, do we know whether it is rational or irrational?

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