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Foundations of Mathematics and Pre-Calculus 10 Unit 1 Hand-In Assignment SEND - IN ASSIGNMENT UNIT 1 The Real Number System & Radicals ANSWER KEY Name: _________________________________________ Total ______ = _________% 46 SHOW ALL WORK FOR FULL MARKS (when possible) Version 1 2010 Page 1 of 6 Unit 1 Foundations of Mathematics and Pre-Calculus 10 Unit 1 Hand-In Assignment 1. Name all of the sets [natural, whole, integers, rational, irrational, real] of the real number system to which the following belong too. 5 8 Rational, Real a) _________________________________________________________________ b) 4 Integer, Rational, Real b) _________________________________________________________________ a) 1 mark 1 mark Irrational, Real c) 6.15478134274… c) _________________________________________________________________ 1 mark Natural, Whole, Integer, Rational, Real d) __________________________________________________________________ d) 7 1 mark 2. Determine which numbers are rational or irrational. 7, 3, 6.15, 1 , 5 5 , 3 7.1438714289..., 3 3 27, 16 1 7, 6.15, , 3 27 Rational: _________________________________________ 5 4 marks 5 3 3, 7.143871489..., , 16 Irrational: _________________________________________ 3 4 marks 3. Place the corresponding letter of the following Real Numbers on the number line below. A. 5 B. 1 3 C. 5 D. 6 2 3 E. 16 2 A E 7 6 5 4 3 2 1 C B 0 1 2 D 3 4 5 6 7 5 marks 4. Estimate which two integers 74 would fall between without a calculator. Show your steps for full marks. Answer only will result in no marks. 8 and 9 a) _____________________________ 1 mark Version 1 2010 Page 2 of 6 Unit 1 Foundations of Mathematics and Pre-Calculus 10 Unit 1 Hand-In Assignment 5. Estimate the value of 115 without a calculator. Show your steps for full marks. Answer only will result in no marks. 115 10.7 a) _____________________________ 2 marks 6. Which method is correct when simplifying the following? Method A 25 16 5 4 Method B 25 16 1 9 3 B 6) _____________________________ 1 mark 7. Graph the following on the number line below using decimal approximation. 14, 2 3, 5 2 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 3 marks 8. Evaluate each of the following to the nearest 100th. a) 2 5 6 3 2 -4.19 a) _____________________________ 1 mark b) 2 4 117 6 5 342 -25.85 b) _______________________________ 1 mark Version 1 2010 Page 3 of 6 Unit 1 Foundations of Mathematics and Pre-Calculus 10 Unit 1 Hand-In Assignment 9. Write the following as an entire radical. a) 7 3 147 a) _____________________________ 2 marks 3 b) 4 5 3 320 b) _____________________________ 2 marks 10. Simplify each of the following and leave in simplest radical form. a) 80 80 16 5 16 5 4 5 4 5 a) _____________________________ 2 marks b) 4 96 16 6 b) _____________________________ 2 marks c) 3 8 5 18 6 2 15 2 c) _____________________________ 2 marks d) 2 12 3 50 2 75 6 32 9 2 6 3 d) _____________________________ Version 1 2010 Page 4 of 6 2 marks Unit 1 Foundations of Mathematics and Pre-Calculus 10 e) 3 1080 3 Unit 1 Hand-In Assignment 135 33 5 e) _____________________________ 2 marks f) 5 3 2 6 30 2 f) _____________________________ 2 marks g) 2 6 3 6 5 8 36 40 3 g) _____________________________ 2 marks h) 2 18 6 6 3 3 j) _____________________________ 2 marks Version 1 2010 Page 5 of 6 Unit 1 Foundations of Mathematics and Pre-Calculus 10 Unit 1 Hand-In Assignment 11. The rectangular prism has the following dimensions. Find a simplified expression for the volume in simplest radical form. This is a BONUS QUESTION! 11 11 11 5 3 3 8 11 8 5 11) _____________________________ 1 BONUS mark Version 1 2010 Page 6 of 6 Unit 1