MTH 201.4 Exam 1 - Arithmetic Operations, Exams of Mathematics

Download MTH 201.4 Exam 1 - Arithmetic Operations and more Exams Mathematics in PDF only on Docsity! MTH 201.4 SS 2007 EXAM 1 Name: PID: Instructions: You must show ALL your work in ALL questions. You will be graded on your methods, not just your answers. Use only the space provided for each question. Any usage of calculators is prohibited during the exam. You will have EXACTLY 50 minutes for the exam, which consists of problems numbered 1 – 9. Request a new copy of the exam if any of the problems are missing or hard to read. 1) Fill in the blanks using the correct terminology in their full form: a) (4 points) The two special cases of the any-order property are: the property and the property. b) (4 points) In the division problem 20 ÷ 4 = 5, the number 20 is called the , the number 5 is called the . c) (3 points) The three interpretations of subtraction are: . d) (2 points) The number “Two hundred thirty one” in Egyptian numerals is . e) (1 point) Multiplication of whole numbers is defined as . f) (1 point) Division is defined from multiplication using the concept of . g) (1 point) The most useful model for teaching the commutative property in multiplication is: . h) (1 point) When 18 ÷ 6 is presented as finding the size of each of the 6 equal segments that add up to a segment of size 18, one is using the interpretation of division. 2) (1 point each) State the name of the arithmetic property or thinking strategy being used: a) 723 + 0 = 723 b) (70 + 14) ÷ 7 = (70 ÷ 7) + (14 ÷ 7) c) 19 + 26 = 20 + 25 1 3) (3 points each) Show (clearly but briefly) how to compute the following using Mental Math. Write down the intermediate steps, and state the properties/techniques used. a) 28 + 19 + 1272 = b) 25 × 98 = c) 132 ÷ 12 = d) 280 ÷ 5 = e) 220 – 191 = 4) (5 points each) Illustrate the following calculations using chip diagrams: a) 247 + 135 = b) 302 – 171 = 5) (5 points) Using 2 or 3 sentences or bullet points, clearly and completely explain why 0 ÷ 0 is undefined. 6) (5 points) Illustrate the equality 4 × 3 = 3 × 4 : 2 / 20 Draw a diagram -with labels indicating both sides of the equality are visible- that shows that the equality is not coincidental .