1.1 Übungen
Aus Online Mathematik Brückenkurs 1
(Unterschied zwischen Versionen)
K (Regerate images and tabs) |
|||
| Zeile 10: | Zeile 10: | ||
===Övning 1.1:1=== | ===Övning 1.1:1=== | ||
<div class="ovning"> | <div class="ovning"> | ||
| - | + | Work out (without the help of a calculator) | |
{| width="100%" cellspacing="10px" | {| width="100%" cellspacing="10px" | ||
|a) | |a) | ||
| Zeile 27: | Zeile 27: | ||
===Övning 1.1:2=== | ===Övning 1.1:2=== | ||
<div class="ovning"> | <div class="ovning"> | ||
| - | + | Simplify | |
{| width="100%" cellspacing="10px" | {| width="100%" cellspacing="10px" | ||
|a) | |a) | ||
| Zeile 44: | Zeile 44: | ||
===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? | |
{| width="100%" cellspacing="10px" | {| width="100%" cellspacing="10px" | ||
|a) | |a) | ||
| Zeile 65: | Zeile 65: | ||
===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? | |
{| width="100%" cellspacing="10px" | {| width="100%" cellspacing="10px" | ||
|a) | |a) | ||
| Zeile 86: | Zeile 86: | ||
===Övning 1.1:5=== | ===Övning 1.1:5=== | ||
<div class="ovning"> | <div class="ovning"> | ||
| - | + | Arrange the following numbers in ascending order | |
{| width="100%" cellspacing="10px" | {| width="100%" cellspacing="10px" | ||
|a) | |a) | ||
| Zeile 102: | Zeile 102: | ||
===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. | |
{| width="100%" cellspacing="10px" | {| width="100%" cellspacing="10px" | ||
|a) | |a) | ||
| Zeile 118: | Zeile 118: | ||
===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. | |
{| width="100%" cellspacing="10px" | {| width="100%" cellspacing="10px" | ||
|a) | |a) | ||
Version vom 10:04, 3. Aug. 2008
Övning 1.1:1
Work out (without the help of a calculator)
| a) | \displaystyle 3-7-4+6-5 | b) | \displaystyle 3-(7-4)+(6-5) |
| c) | \displaystyle 3-(7-(4+6)-5) | d) | \displaystyle 3-(7-(4+6))-5 |
Svar
Laden...
Lösning a
Lösning b
Lösning c
Lösning d
Övning 1.1:2
Simplify
| a) | \displaystyle (3-(7-4))(6-5) | b) | \displaystyle 3-(((7-4)+6)-5) |
| c) | \displaystyle 3\cdot(-7)-4\cdot(6-5) | d) | \displaystyle 3\cdot(-7)-(4+6)/(-5) |
Svar
Lösning a
Lösning b
Lösning c
Lösning d
Övning 1.1:3
Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers?
| a) | \displaystyle 8 | b) | \displaystyle -4 | c) | \displaystyle 8-4 |
| d) | \displaystyle 4-8 | e) | \displaystyle 8\cdot(-4) | f) | \displaystyle (-8)\cdot(-4) |
Svar
Lösning a
Lösning b
Lösning c
Lösning d
Lösning e
Lösning f
Övning 1.1:4
Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers?
| a) | \displaystyle \frac{4}{-8} | b) | \displaystyle \frac{-8}{-4} | c) | \displaystyle \frac{\sqrt{2}}{3} |
| d) | \displaystyle \Bigl(\frac{4}{\sqrt{2}}\Bigr)^2 | e) | \displaystyle -\pi | f) | \displaystyle \pi+1 |
Svar
Lösning a
Lösning b
Lösning c
Lösning d
Lösning e
Lösning f
Övning 1.1:5
Arrange the following numbers in ascending order
| a) | \displaystyle 2, \displaystyle \tfrac{3}{5}, \displaystyle \tfrac{5}{3} och \displaystyle \tfrac{7}{3} |
| b) | \displaystyle -\tfrac{1}{2}, \displaystyle -\tfrac{1}{5}, \displaystyle -\tfrac{3}{10} och \displaystyle -\tfrac{1}{3} |
| c) | \displaystyle \tfrac{1}{2}, \displaystyle \tfrac{2}{3}, \displaystyle \tfrac{3}{5}, \displaystyle \tfrac{5}{8} och \displaystyle \tfrac{21}{34} |
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} |
Svar
Lösning a
Lösning b
Lösning c
Lösning d
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.) |
Svar
Lösning a
Lösning b
Lösning c
Lösning d
