Processing Math: 78%
1.1 Exercises
From Förberedande kurs i matematik 1
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===Övning 1.1:1=== | ===Övning 1.1:1=== | ||
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| - | + | Work out (without the help of a calculator) | |
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|a) | |a) | ||
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===Övning 1.1:2=== | ===Övning 1.1:2=== | ||
<div class="ovning"> | <div class="ovning"> | ||
| - | + | Simplify | |
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|a) | |a) | ||
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===Övning 1.1:3=== | ===Övning 1.1:3=== | ||
<div class="ovning"> | <div class="ovning"> | ||
| - | + | Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers? | |
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|a) | |a) | ||
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===Övning 1.1:4=== | ===Övning 1.1:4=== | ||
<div class="ovning"> | <div class="ovning"> | ||
| - | + | Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers? | |
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|a) | |a) | ||
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===Övning 1.1:5=== | ===Övning 1.1:5=== | ||
<div class="ovning"> | <div class="ovning"> | ||
| - | + | Arrange the following numbers in ascending order | |
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|a) | |a) | ||
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===Övning 1.1:6=== | ===Övning 1.1:6=== | ||
<div class="ovning"> | <div class="ovning"> | ||
| - | + | Give the decimal expansion of the following to three decimal places. | |
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|a) | |a) | ||
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===Övning 1.1:7=== | ===Övning 1.1:7=== | ||
<div class="ovning"> | <div class="ovning"> | ||
| - | + | Which of the following numbers are rational? Give them as a fraction of two integers. | |
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|a) | |a) | ||
Revision as of 10:04, 3 August 2008
| Teori | Övningar |
Övning 1.1:1
Work out (without the help of a calculator)
| a) | | b) | |
| c) | | d) | |
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Övning 1.1:2
Simplify
| a) | | b) | |
| c) |  (−7)−4(6−5) | d) | (−7)−(4+6) (−5) |
Övning 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) |
Övning 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 |
Övning 1.1:5
Arrange the following numbers in ascending order
| a) | |
| b) | |
| c) | |
Övning 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} |
Övning 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.) |
