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1.3 Exercises

From Förberedande kurs i matematik 1

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===Övning 1.3:1===
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===Exercise 1.3:1===
<div class="ovning">
<div class="ovning">
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Ber&auml;kna
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Calculate
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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===Övning 1.3:2===
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===Exercise 1.3:2===
<div class="ovning">
<div class="ovning">
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Skriv som en potens av <math>2</math>
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Write each of the following as a power of <math>2</math>
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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===Övning 1.3:3===
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===Exercise 1.3:3===
<div class="ovning">
<div class="ovning">
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Skriv som en potens av <math>3</math>
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Write each of the following as a power of <math>3</math>
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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===Övning 1.3:4===
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===Exercise 1.3:4===
<div class="ovning">
<div class="ovning">
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Ber&auml;kna
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Calculate
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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===Övning 1.3:5===
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===Exercise 1.3:5===
<div class="ovning">
<div class="ovning">
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Ber&auml;kna
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Calculate
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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===Övning 1.3:6===
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===Exercise 1.3:6===
<div class="ovning">
<div class="ovning">
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Avg&ouml;r vilket tal som &auml;r st&ouml;rst av
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Determine which is the larger of the two numbers in each of the following cases:
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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|width="33%" | <math>256^{1/3}\ </math> och <math>\ 200^{1/3} </math>
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|width="33%" | <math>256^{1/3}\ </math> and <math>\ 200^{1/3} </math>
|b)
|b)
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|width="33%" | <math>0{,}5^{-3}\ </math> och <math>\ 0{,}4^{-3} </math>
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|width="33%" | <math>0{,}5^{-3}\ </math> and <math>\ 0{,}4^{-3} </math>
|c)
|c)
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|width="33%" | <math>0{,}2^5\ </math> och <math>\ 0{,}2^{7} </math>
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|width="33%" | <math>0{,}2^5\ </math> and <math>\ 0{,}2^{7} </math>
|-
|-
|d)
|d)

Revision as of 11:03, 3 August 2008

       Teori          Övningar      


Exercise 1.3:1

Calculate

a) 2332 b) 3592 c) (5)3 d) 323 


Exercise 1.3:2

Write each of the following as a power of 2

a) 248 b) 025 c) 1


Exercise 1.3:3

Write each of the following as a power of 3

a) 31 b) 243 c) 92 d) 127 e) 392


Exercise 1.3:4

Calculate

a) 2927 b) 31393272 c) 51254(52)6
d) 223(2)4 e) 625(58+59)1


Exercise 1.3:5

Calculate

a) 412  b) 412  c) 932 
d) 47233  e) 314306 f) 12513227132912 


Exercise 1.3:6

Determine which is the larger of the two numbers in each of the following cases:

a) 25613   and  20013  b) 053  and  043 c) 025  and  027
d) 40013   och \displaystyle \ \bigl(5^{1/3}\bigr)^{4} e) \displaystyle 125^{1/2}\ och \displaystyle \ 625^{1/3} f) \displaystyle 2^{56}\ och \displaystyle \ 3^{40}