course Mth 158
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List the numbers in each set that are a) Natural numbers b) Integers c) Rational numbers d) Irrational numbers e) real numbers
11. C= {0,1,1/2,1/3,1/4}
1 a, b, c, e
½ c, e
1/3 c, e
¼ c, e
14.F= { - square root of 2, pie + square root of 2, ½ + 10.3}
- square root of 2 d, e
pie + square root of 2 d, e
½ + 10.3 c, e
Approximate each number a) rounded b) truncated to three decimal places
17. 28.65319 a)28.653 b)28.653
20. 0.05388 a)0.054 b)0.053
23. 3/7 a)0.429 b)0.428
26. 81/5 or 16.2 a)16 b)16.2
Write each statement using symbols
29. The sum of x and 2 is the product of 3 times 4. x+2=3*4
32. The product of 2 and x is the product of 4 and 6. 2*x=4*6
35. The quotient x divided by 2 is 6. x / 2 =6
Evaluate each expression
38. 6-4+3 41. 4+5-8 44. 2-1/2 = 1.5 47. 2*(3-5)+8*2-1
2+3= 5 9-8= 1 2*(-2)+8*2-1
-4+16-1
12-1= 11
50. 2-5*4 - [6*(3-4)] 53. 4+8 12
2-5*4 - [6*(-1)] ____ ____ = 6
2-5*4 + 6 5-3 2
2-20+6
-18+6=-12
56. 5 3 50 59. 3 2 15 8 23
__ * __ = ____ __ + __ = ___ + ___ = ___
9 10 21 4 5 20 20 20
62. 8 + 15 = 16 + 135 = 151 65. 1 - 7 = 3 - 35 = -32 = -16
__ __ __ ___ ___ __ __ __ __ ___ ___
9 2 18 18 18 30 18 90 90 90 45
68. 6 - 3 = 12 - 15 = -3
__ __ __ __ __
35 14 70 70 70
Use the distributive property to remove the parentheses.
71. 6(x+4) = 6x+24 74. 4x(x+3) = 4x^2 + 12x 77. (x-2) (x+1)=x^2+x-2x-2=x^2-x-2
80. (x-4) (x-2)= x^2-2x-4x+8= x^2+6x+8
83.Explain to a friend how the distributive property is used to justify the fact that 2x+3x=5x. 5x=(2+3)x=2x+3x
86. Explain why 4+3 over 2+5 is not equal to 4 over 2 plus 3 over 5.
4+3 over 2+5 = 7 over 7 which =’s1. with the equation 4 over 2 + 3 over 5, you have to find a common denominator to add them.. which would be 10. So you would get 20 over 10 + 6 over 10, which =’s 26 over 10, which =’s 13 over 5
89. Is division commutative? Support your answer with an example. N0. you can not divide in any order and get the same answer, ex. 8/2 =4 2/8=.25
92. If x=5, why does x^2 + x = 30? You substitute 5 in for x and get 5^2+5=30 = 25+5=30
95. What rational number does the repeating decimal 0.9999 . . equal?
10x= 9.9 repeating , -x=0.9 repeating, 9x=9 which is x=9 over 9 which =’s 1
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I haven't reviewed every detail of your work, but I took a good look and don't see anything you're doing wrong. Your work looks very good, and you are providing very good detail.
However, while you are welcome to submit problems in this format when you aren't sure of your solutions, you should be using the Query program to submit your work. Much less work for you. You should have downloaded the Query in Orientation Part ii. Take another look at the orientation assignment and let me know if you can't locate and run the program.