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1.1 Exercises

From Förberedande kurs i matematik 1

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</div>{{#NAVCONTENT:Answer|Svar 1.1:1|Solution a|Lösning 1.1:1a|Solution b|Lösning 1.1:1b|Solution c|Lösning 1.1:1c|Solution d|Lösning 1.1:1d}}
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</div>{{#NAVCONTENT:Answer|Answer 1.1:1|Solution a|Lösning 1.1:1a|Solution b|Lösning 1.1:1b|Solution c|Lösning 1.1:1c|Solution d|Lösning 1.1:1d}}
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</div>{{#NAVCONTENT:Answer|Svar 1.1:2|Solution a|Lösning 1.1:2a|Solution b|Lösning 1.1:2b|Solution c|Lösning 1.1:2c|Solution d|Lösning 1.1:2d}}
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</div>{{#NAVCONTENT:Answer|Answer 1.1:2|Solution a|Lösning 1.1:2a|Solution b|Lösning 1.1:2b|Solution c|Lösning 1.1:2c|Solution d|Lösning 1.1:2d}}
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</div>{{#NAVCONTENT:Answer|Svar 1.1:3|Solution a|Lösning 1.1:3a|Solution b|Lösning 1.1:3b|Solution c|Lösning 1.1:3c|Solution d|Lösning 1.1:3d|Solution e|Lösning 1.1:3e|Solution f|Lösning 1.1:3f}}
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</div>{{#NAVCONTENT:Answer|Answer 1.1:3|Solution a|Lösning 1.1:3a|Solution b|Lösning 1.1:3b|Solution c|Lösning 1.1:3c|Solution d|Lösning 1.1:3d|Solution e|Lösning 1.1:3e|Solution f|Lösning 1.1:3f}}
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</div>{{#NAVCONTENT:Answer|Svar 1.1:4|Solution a|Lösning 1.1:4a|Solution b|Lösning 1.1:4b|Solution c|Lösning 1.1:4c|Solution d|Lösning 1.1:4d|Solution e|Lösning 1.1:4e|Solution f|Lösning 1.1:4f}}
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</div>{{#NAVCONTENT:Answer|Answer 1.1:4|Solution a|Lösning 1.1:4a|Solution b|Lösning 1.1:4b|Solution c|Lösning 1.1:4c|Solution d|Lösning 1.1:4d|Solution e|Lösning 1.1:4e|Solution f|Lösning 1.1:4f}}
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|width="100%"| <math>\tfrac{1}{2}</math>, <math>\tfrac{2}{3}</math>, <math>\tfrac{3}{5}</math>, <math>\tfrac{5}{8}</math> och <math>\tfrac{21}{34}</math>
|width="100%"| <math>\tfrac{1}{2}</math>, <math>\tfrac{2}{3}</math>, <math>\tfrac{3}{5}</math>, <math>\tfrac{5}{8}</math> och <math>\tfrac{21}{34}</math>
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</div>{{#NAVCONTENT:Answer|Svar 1.1:5|Solution a|Lösning 1.1:5a|Solution b|Lösning 1.1:5b|Solution c|Lösning 1.1:5c}}
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</div>{{#NAVCONTENT:Answer|Svar 1.1:6|Solution a|Lösning 1.1:6a|Solution b|Lösning 1.1:6b|Solution c|Lösning 1.1:6c|Solution d|Lösning 1.1:6d}}
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</div>{{#NAVCONTENT:Answer|Answer 1.1:6|Solution a|Lösning 1.1:6a|Solution b|Lösning 1.1:6b|Solution c|Lösning 1.1:6c|Solution d|Lösning 1.1:6d}}
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|width="100%" valign="top"| <math>0{,}10\,100\,1000\,10000\,1\ldots\,</math> (one 1:, one 0:, one 1:, two 0:s, one 1:, three 0:s etc.)
|width="100%" valign="top"| <math>0{,}10\,100\,1000\,10000\,1\ldots\,</math> (one 1:, one 0:, one 1:, two 0:s, one 1:, three 0:s etc.)
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</div>{{#NAVCONTENT:Answer|Svar 1.1:7|Solution a|Lösning 1.1:7a|Solution b|Lösning 1.1:7b|Solution c|Lösning 1.1:7c|Solution d|Lösning 1.1:7d}}
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</div>{{#NAVCONTENT:Answer|Answer 1.1:7|Solution a|Lösning 1.1:7a|Solution b|Lösning 1.1:7b|Solution c|Lösning 1.1:7c|Solution d|Lösning 1.1:7d}}

Revision as of 07:05, 9 September 2008

       Theory          Exercises      


Exercise 1.1:1

Work out (without the help of a calculator)

a) 3−7−4+6−5 b) 3−(7−4)+(6−5)
c) 3−(7−(4+6)−5) d) 3−(7−(4+6))−5

Answer | Solution a | Solution b | Solution c | Solution d


Exercise 1.1:2

Simplify

a) (3−(7−4))(6−5) b) 3−(((7−4)+6)−5)
c) 3(−7)−4(6−5) d) 3(−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) 8 b) −4 c) 8−4
d) 4−8 e) 8(−4) f) (−8)(−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) 4−8 b) −4−8 c) 32 
d) 422  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) 2, 53, 35 och 37
b) −21, −51, −310 och −31
c) 21, 32, 53, 85 och \displaystyle \tfrac{21}{34}

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

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