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1.1 Übungen

Aus Online Mathematik Brückenkurs 1

(Unterschied zwischen Versionen)
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K (decimal comma --> decimal point)
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===Exercise 1.1:1===
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===Übung 1.1:1===
<div class="ovning">
<div class="ovning">
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Work out (without the help of a calculator)
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Berechne folgendes (ohne Taschenrechner)
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
Zeile 22: Zeile 22:
|| <math>3-(7-(4+6))-5</math>
|| <math>3-(7-(4+6))-5</math>
|}
|}
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</div>{{#NAVCONTENT:Answer|Answer 1.1:1|Solution a|Solution 1.1:1a|Solution b|Solution 1.1:1b|Solution c|Solution 1.1:1c|Solution d|Solution 1.1:1d}}
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</div>{{#NAVCONTENT:Answer|Antwort 1.1:1|Lösung a|Solution 1.1:1a|Lösung b|Solution 1.1:1b|Lösung c|Solution 1.1:1c|Lösung d|Solution 1.1:1d}}
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===Exercise 1.1:2===
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===Übung 1.1:2===
<div class="ovning">
<div class="ovning">
Simplify
Simplify
Zeile 39: Zeile 39:
|| <math>3\cdot(-7)-(4+6)/(-5)</math>
|| <math>3\cdot(-7)-(4+6)/(-5)</math>
|}
|}
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</div>{{#NAVCONTENT:Answer|Answer 1.1:2|Solution a|Solution 1.1:2a|Solution b|Solution 1.1:2b|Solution c|Solution 1.1:2c|Solution d|Solution 1.1:2d}}
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</div>{{#NAVCONTENT:Answer|Antwort 1.1:2|Lösung a|Solution 1.1:2a|Lösung b|Solution 1.1:2b|Lösung c|Solution 1.1:2c|Lösung d|Solution 1.1:2d}}
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===Exercise 1.1:3===
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===Übung 1.1:3===
<div class="ovning">
<div class="ovning">
Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers?
Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers?
Zeile 60: Zeile 60:
|| <math>(-8)\cdot(-4)</math>
|| <math>(-8)\cdot(-4)</math>
|}
|}
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</div>{{#NAVCONTENT:Answer|Answer 1.1:3|Solution a|Solution 1.1:3a|Solution b|Solution 1.1:3b|Solution c|Solution 1.1:3c|Solution d|Solution 1.1:3d|Solution e|Solution 1.1:3e|Solution f|Solution 1.1:3f}}
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</div>{{#NAVCONTENT:Answer|Antwort 1.1:3|Lösung a|Solution 1.1:3a|Lösung b|Solution 1.1:3b|Lösung c|Solution 1.1:3c|Lösung d|Solution 1.1:3d|Lösung e|Solution 1.1:3e|Lösung f|Solution 1.1:3f}}
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===Exercise 1.1:4===
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===Übung 1.1:4===
<div class="ovning">
<div class="ovning">
Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers?
Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers?
Zeile 81: Zeile 81:
|| <math>\pi+1</math>
|| <math>\pi+1</math>
|}
|}
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</div>{{#NAVCONTENT:Answer|Answer 1.1:4|Solution a|Solution 1.1:4a|Solution b|Solution 1.1:4b|Solution c|Solution 1.1:4c|Solution d|Solution 1.1:4d|Solution e|Solution 1.1:4e|Solution f|Solution 1.1:4f}}
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</div>{{#NAVCONTENT:Answer|Antwort 1.1:4|Lösung a|Solution 1.1:4a|Lösung b|Solution 1.1:4b|Lösung c|Solution 1.1:4c|Lösung d|Solution 1.1:4d|Lösung e|Solution 1.1:4e|Lösung f|Solution 1.1:4f}}
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===Exercise 1.1:5===
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===Übung 1.1:5===
<div class="ovning">
<div class="ovning">
Arrange the following numbers in ascending order
Arrange the following numbers in ascending order
Zeile 97: Zeile 97:
|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|Answer 1.1:5|Solution a|Solution 1.1:5a|Solution b|Solution 1.1:5b|Solution c|Solution 1.1:5c}}
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</div>{{#NAVCONTENT:Answer|Antwort 1.1:5|Lösung a|Solution 1.1:5a|Lösung b|Solution 1.1:5b|Lösung c|Solution 1.1:5c}}
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===Exercise 1.1:6===
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===Übung 1.1:6===
<div class="ovning">
<div class="ovning">
Give the decimal expansion of the following to three decimal places.
Give the decimal expansion of the following to three decimal places.
Zeile 113: Zeile 113:
|width="25%"| <math>\sqrt{2}</math>
|width="25%"| <math>\sqrt{2}</math>
|}
|}
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</div>{{#NAVCONTENT:Answer|Answer 1.1:6|Solution a|Solution 1.1:6a|Solution b|Solution 1.1:6b|Solution c|Solution 1.1:6c|Solution d|Solution 1.1:6d}}
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</div>{{#NAVCONTENT:Answer|Antwort 1.1:6|Lösung a|Solution 1.1:6a|Lösung b|Solution 1.1:6b|Lösung c|Solution 1.1:6c|Lösung d|Solution 1.1:6d}}
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===Exercise 1.1:7===
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===Übung 1.1:7===
<div class="ovning">
<div class="ovning">
Which of the following numbers are rational? Give them as a fraction of two integers.
Which of the following numbers are rational? Give them as a fraction of two integers.
Zeile 132: Zeile 132:
|width="100%" valign="top"| <math>0\textrm{.}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\textrm{.}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|Answer 1.1:7|Solution a|Solution 1.1:7a|Solution b|Solution 1.1:7b|Solution c|Solution 1.1:7c|Solution d|Solution 1.1:7d}}
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</div>{{#NAVCONTENT:Answer|Antwort 1.1:7|Lösung a|Solution 1.1:7a|Lösung b|Solution 1.1:7b|Lösung c|Solution 1.1:7c|Lösung d|Solution 1.1:7d}}

Version vom 09:58, 18. Okt. 2008

 

Vorlage:Not selected tab Vorlage:Selected tab

 


Übung 1.1:1

Berechne folgendes (ohne Taschenrechner)

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 | Lösung a | Lösung b | Lösung c | Lösung d


Übung 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 | Lösung a | Lösung b | Lösung c | Lösung d


Übung 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 | Lösung a | Lösung b | Lösung c | Lösung d | Lösung e | Lösung f


Übung 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 | Lösung a | Lösung b | Lösung c | Lösung d | Lösung e | Lösung f


Übung 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 | Lösung a | Lösung b | Lösung c


Übung 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 | Lösung a | Lösung b | Lösung c | Lösung d


Übung 1.1:7

Which of the following numbers are rational? Give them as a fraction of two integers.

a) \displaystyle 3\textrm{.}14
b) \displaystyle 3\textrm{.}1416\,1416\,1416\,\ldots
c) \displaystyle 0\textrm{.}2\,001\,001\,001\,\ldots
d) \displaystyle 0\textrm{.}10\,100\,1000\,10000\,1\ldots\, (one 1:, one 0:, one 1:, two 0:s, one 1:, three 0:s etc.)

Answer | Lösung a | Lösung b | Lösung c | Lösung d

Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/1.1_%C3%9Cbungen“