Sommarmatte 1
(Skillnad mellan versioner)
Versionen från 16 juli 2007 kl. 08.25
| a) |
$-7$ |
b) |
$1$ |
| c) |
$11$ |
d) |
$1$ |
|
| a) |
$0$ |
b) |
$-1$ |
| c) |
$-25$ |
d) |
$-19$ |
|
|
| a) |
naturliga talen, heltalen, rationella talen |
b) |
heltalen, rationella talen |
c) |
naturliga talen, heltalen, rationella talen |
| d) |
heltalen, rationella talen |
e) |
heltalen, rationella talen |
f) |
naturliga talen, heltalen, rationella talen |
| g) |
rationella talen |
h) |
naturliga talen, heltalen, rationella talen |
i) |
irrationella talen |
| j) |
naturliga talen, heltalen, rationella talen |
k) |
irrationella talen |
l) |
irrationella talen |
|
| a) |
$\displaystyle \frac{3}{5}<\frac{5}{3}<2<\frac{7}{3}$ |
| b) |
$\displaystyle -\frac{1}{2}<-\frac{1}{3}<-\frac{3}{10}<-\frac{1}{5}$ |
| c) |
$\displaystyle \frac{1}{2}<\frac{3}{5}<\frac{21}{34}<\frac{5}{8}<\frac{2}{3}$ |
|
| a) |
$1{,}167$ |
b) |
$2{,}250$ |
c) |
$0{,}286$ |
d) |
$1{,}414$ |
|
| a) |
Talet är rationellt och lika med $\,314/100 = 157/50\,$. |
| b) |
Talet är rationellt och är lika med $\,31413/9999 = 10471/3333\,$. |
| c) |
Talet är rationellt och lika med $\,1999/9990\,$. |
| d) |
Talet är irrationellt. |
|
| a) |
$\displaystyle \frac{93}{28}$ |
b) |
$\displaystyle \frac{3}{35}$ |
c) |
$\displaystyle -\frac{7}{30}$ |
| d) |
$\displaystyle \frac{47}{60}$ |
e) |
$\displaystyle \frac{47}{84}$ |
|
| a) |
$\displaystyle {30}$ |
b) |
$\displaystyle {8}$ |
| c) |
$\displaystyle {84}$ |
d) |
$\displaystyle {225}$ |
|
|
| a) |
$\displaystyle \frac{19}{100}$ |
b) |
$\displaystyle \frac{1}{240}$ |
|
| a) |
$\displaystyle \frac{6}{7}$ |
b) |
$\displaystyle \frac{16}{21}$ |
c) |
$\displaystyle \frac{1}{6}$ |
|
|
| a) |
$\displaystyle \frac{105}{4}$ |
b) |
$-5$ |
c) |
$\displaystyle \frac{8}{55}$ |
|
| $\displaystyle \frac{152}{35}$ |
| a) |
$72$ |
b) |
$3$ |
c) |
$-125$ |
d) |
$\displaystyle \frac{27}{8}$ |
|
| a) |
$2^6$ |
b) |
$2^{-2}$ |
c) |
$2^0$ |
|
| a) |
$3^{-1}$ |
b) |
$3^5$ |
c) |
$3^4$ |
d) |
$3^{-3}$ |
e) |
$3^{-3}$ |
|
| a) |
$4$ |
b) |
$3$ |
c) |
$625$ |
| d) |
$16$ |
e) |
$\displaystyle \frac{1}{3750}$ |
|
| a) |
$2$ |
b) |
$\displaystyle \frac{1}{2}$ |
c) |
$27$ |
| d) |
$2209$ |
e) |
$9$ |
f) |
$\displaystyle \frac{25}{3}$ |
|
| a) |
$256^{1/3}>200^{1/3}$ |
b) |
$0{,}4^{-3}>0{,}5^{-3}$ |
c) |
$0{,}2^{5}>0{,}2^{7}$ |
| d) |
$\bigl(5^{1/3}\bigr)^{4}>400^{1/3}$ |
e) |
$125^{1/2}>625^{1/3}$ |
f) |
$3^{40}>2^{56}$ |
|
