1.1 Exercises
From Förberedande kurs i matematik 1
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Revision as of 13:09, 10 September 2008
| Theory | Exercises |
Exercise 1.1:1
Work out (without the help of a calculator)
| a) | | b) | |
| c) | | d) | |
Answer | Solution a | Solution b | Solution c | Solution d
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Exercise 1.1:2
Simplify
| a) | | b) | |
| c) |  (−7)−4(6−5) | d) | (−7)−(4+6) (−5) |
Answer | Solution a | Solution b | Solution c | Solution d
Exercise 1.1:3
Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers?
| a) | | b) | | c) | |
| d) | | e) | (−4) | f) | (−4) |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f
Exercise 1.1:4
Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers?
| a) | | b) | | c) |  2 |
| d) |  42 2 | e) |  | f) | +1 |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f
Exercise 1.1:5
Arrange the following numbers in ascending order
| a) | |
| b) | |
| c) | |
Answer | Solution a | Solution b | Solution c
Exercise 1.1:6
Give the decimal expansion of the following to three decimal places.
| a) | \displaystyle \frac{7}{6} | b) | \displaystyle \frac{9}{4} | c) | \displaystyle \frac{2}{7} | d) | \displaystyle \sqrt{2} |
Answer | Solution a | Solution b | Solution c | Solution d
Exercise 1.1:7
Which of the following numbers are rational? Give them as a fraction of two integers.
| a) | \displaystyle 3{,}14 |
| b) | \displaystyle 3{,}1416\,1416\,1416\,\ldots |
| c) | \displaystyle 0{,}2\,001\,001\,001\,\ldots |
| d) | \displaystyle 0{,}10\,100\,1000\,10000\,1\ldots\, (one 1:, one 0:, one 1:, two 0:s, one 1:, three 0:s etc.) |
Answer | Solution a | Solution b | Solution c | Solution d
