Mathematical Problems essay

NAME: _________________________ MAT 1013.E1 Final Exam SCORE: ___________
Spring 2021

NOTE: Complete and return only the final page answer sheet to this examination.

I. Matching

______ 1.Base a. A = P (1+r) ^ t
______ 2.Binary System b. Consists of a set and rule for combining
______ 3.Number c. Has a common difference
______ 4.Numeral d.[(Price – Cost)/Cost] x 100
______ 5.Natural Number e. Non-terminating and non-repeating decimal
______ 6.Whole Number f. Moveable parts times table
______ 7.Integer g. Of the form p/q with q not equal to zero
______ 8.Rational Number h. Base 12
______ 9.Irrational Number i. Ratio based on parts per hundred
______ 10.Real Number j. Me
______ 11.Prime Number k. Rational or irrational number
______ 12.Composite Number l. {0, 1, 2, 3, … }
______ 13.Percent m. I = P r t
______ 14.Ratio n. Has a common ratio
______ 15.Proportion o. Symbol for quantity
______ 16.Napier’s Rods p. Base two
______ 17.Simple Interest q. Equality of ratios
______ 18.Compound Amount r. {1, 2, 3, 4, … }
______ 19.Decimal System s. Factor/s other than itself and one
______ 20.Successful in Mat 1013 t. Concept of amount
______ 21.Numeration System u. Base 10
______ 22. Duodecimal System v. Value where regrouping occurs
______ 23. Arithmetic Sequence w. Positive or negative whole number
______ 24. Geometric Sequence x. Only divisors are one and itself
______ 25. Percent Markup y. Comparison of two numbers

II. TRUE/FALSE

_____ 1. There is no distinction between a number and a numeral.

_____ 2. A system (our system) that is based on powers of 10 is the decimal system of numeration.

_____ 3. One of the most significant contributions of the Roman numerals was zero, a placeholder.

_____ 4. Writing 78twelve in base 10 notation, it could be written as (X)ten where X would be smaller than 78.

_____ 5. Writing 32four in base 10 notation, it could be written as (X)ten where X would be larger than 32.

_____ 6. Binary multiplication of 101 times 1011 equals 110111.

_____ 7. The base five numeral, 340, equals the base ten numeral, 50.

_____ 8. 345 + 145 = 1035

_____ 9. 5436 < 2489

_____ 10. The base ten number, 1442, is equal to the base twelve number, ET1.

_____ 11. The absolute value of a number is the value of the opposite of that number.

_____ 12. Every natural number except one is prime or can be uniquely written in prime factors.

_____ 13. A natural number is divisible by 3 if the sum of its digits is divisible by 3.

_____ 14. Two numbers with no GCD are said to be relatively prime.

_____ 15. Subtraction in base four of 321 minus 132 equals the base four numeral, 123.

_____ 16. The numeral, –23, is rational, real and whole.

_____ 17. Zero is both a positive and negative integer depending upon the situation.

_____ 18. A negative integer multiplied by a positive integer always yields a negative integer.

_____ 19. A negative integer divided by a negative integer always yields a positive integer.

_____ 20. 7/10 is one of only a few rational number between 3/5 and 4/5.

_____ 21. All integers are rational numbers.

_____ 22. If a/b = c/d then a times c must be the same as b times d.

_____ 23. The natural number, 10103, is prime.

_____ 24. Integers are not dense, because there is no integer between six and seven.

_____ 25. The LCM for 48 and 72 is 288.

_____ 26. If 8 : x = 12 : 18 then x = 12.

_____ 27. All whole numbers are not counting numbers.

_____ 28. If b is any real number and m and n are natural numbers, then bm x bn = bm+n.

_____ 29. If b is any real number (b  0) and m and n are natural numbers, then bm/bn = bm-n.

_____ 30. The ratio of a to b can be written in any of the following forms:
a  b or a/b or a:b

_____ 31. In any proportion , the quotient of the means equals the difference of the extremes.

_____ 32. (3/5)% = (0.6)% = 0.06 = 6/100 = 3/50.

_____ 33. A percent markup on cost indicates the amount of the cost that goes to profit.

_____ 34. Subtraction of integers like, –8-(-3), is equivalent to addition of the opposite like, -8+3.

_____ 35. Markdown equals Original price plus Sale price.

_____ 36. The amount of money on which interest is paid is usually called the principal.

_____ 37. The formula to determine simple interest is: I = A – P

_____ 38. The amount (A) the borrower would have to pay for a loan is: A = P – I

_____ 39. An investment at 6% for 6 periods is less than the same investment at 4% for 8 periods.

_____ 40. The GCD for 36 and 54 is 9.

_____ 41. Simplifying the expression: [-3^2 + (10 / -5) – 4] yields 3.

_____ 42. The simple interest on $5000 for 3 years @ 3.5% is $5250.

_____ 43. Simplifying the expression: [(3/8 + ¼) / (1/2 – 5/8)] yields 5.

_____ 44. A purse costs a wholesaler $40 and the markup is 40% of the cost. The selling price is 48.

_____ 45. A coat costs a retailer $54 and the markup is 40% of the selling price. The selling price is $90.

_____ 46. Not every whole number is a natural number.

_____ 47. Every integer is also a rational number.

_____ 48. An example of an irrational number is 0.25255255525555… .

_____ 49. As a quotient of two integers 2.15151515… is 71/33.

_____ 50. The counting number 43,859 is not prime.

Name: ______________________________ Score: ___________

Math 1013.E1 Final Exam Answer Sheet Spring 2021

I. Matching III. True/False

1. 1. 26.
2. 2. 27.
3. 3. 28.
4. 4. 29.
5. 5. 30.
6. 6. 31.
7. 7. 32.
8. 8. 33.
9. 9. 34.
10. 10. 35.
11. 11. 36.
12. 12. 37.
13. 13. 38.
14. 14. 39.
15. 15. 40.
16. 16. 41.
17. 17. 42.
18. 18. 43.
19. 19. 44.
20. 20. 45.
21. 21. 46.
22. 22. 47.
23. 23. 48.
24. 24. 49.
25. 25. 50.

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