Processing Math: 78%
1.1 Exercises
From Förberedande kurs i matematik 1
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- | {{Ej vald flik|[[1.1 Olika typer av tal| | + | {{Ej vald flik|[[1.1 Olika typer av tal|Theory]]}} |
- | {{Vald flik|[[1.1 Övningar| | + | {{Vald flik|[[1.1 Övningar|Exercises]]}} |
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Revision as of 11:31, 3 August 2008
Theory | Exercises |
Exercise 1.1:1
Work out (without the help of a calculator)
a) | | b) | |
c) | | d) | |
Exercise 1.1:2
Simplify
a) | | b) | |
c) | ![]() ![]() | d) | ![]() ![]() |
Exercise 1.1:3
Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers?
a) | | b) | | c) | |
d) | | e) | ![]() | f) | ![]() |
Exercise 1.1:4
Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers?
a) | | b) | | c) | ![]() |
d) | ![]() ![]() ![]() | e) | ![]() | f) | ![]() |
Exercise 1.1:5
Arrange the following numbers in ascending order
a) | |
b) | |
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} |
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\, (en 1:a, en 0:a, en 1:a, två 0:or, en 1:a, tre 0:or osv.) |