Rechnen
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| Zeile 9: | Zeile 9: | ||
Bsp: 605 * 605 = (60 * 61) | 25 = 366025 | Bsp: 605 * 605 = (60 * 61) | 25 = 366025 | ||
| − | ===(5 | a)² = (25 + a) | | + | ===(5 | a)² = (25 + a) | a²=== |
| − | Bsp: 53²=(25 + 3) | 3² = 2809 | + | Bsp: 53² = (25 + 3) | 3² = 2809 |
===(x + y) * (x - y) = x² - y²=== | ===(x + y) * (x - y) = x² - y²=== | ||
| Zeile 17: | Zeile 17: | ||
===(x + a) * (x + b) = (x + a + b) * x + a * b=== | ===(x + a) * (x + b) = (x + a + b) * x + a * b=== | ||
Bsp: 997 * 988 = (1000 + -3) * (1000 + -12)=(1000 - 3 - 12) * 1000 + (-3) * (-12) = 985000 + 36=985036 | Bsp: 997 * 988 = (1000 + -3) * (1000 + -12)=(1000 - 3 - 12) * 1000 + (-3) * (-12) = 985000 + 36=985036 | ||
| + | |||
| + | ==Wurzel ziehen== | ||
| + | Potenzen von | ||
| + | {| | ||
| + | |- | ||
| + | |1,9||2,8||3,7||4,6||5||0 | ||
| + | |- | ||
| + | |1||4||9||6||5||0 | ||
| + | |} | ||
Version vom 19. September 2013, 07:42 Uhr
Inhaltsverzeichnis |
Grundsätzlich: | (pipen) wird hier verwendet um zwei Zahlen zusammenzufügen, also (1 + 2) | (3 + 4) ergibt die Zahl 37.
Multiplikation
a + b = 10 => (x | a) * (x | b) = x * (x + 1) | a * b
Bsp: 32 * 38 = (3 * 4) | (2 * 8) = 1216
Spezialfall 5: x | 5 * x | 5 = (x * (x + 1)) | 25
Bsp: 605 * 605 = (60 * 61) | 25 = 366025
(5 | a)² = (25 + a) | a²
Bsp: 53² = (25 + 3) | 3² = 2809
(x + y) * (x - y) = x² - y²
Bsp: 96 * 84 = (90 + 6) * (90 - 6)=90² - 6² = 8100 - 36 = 8064
(x + a) * (x + b) = (x + a + b) * x + a * b
Bsp: 997 * 988 = (1000 + -3) * (1000 + -12)=(1000 - 3 - 12) * 1000 + (-3) * (-12) = 985000 + 36=985036
Wurzel ziehen
Potenzen von
| 1,9 | 2,8 | 3,7 | 4,6 | 5 | 0 |
| 1 | 4 | 9 | 6 | 5 | 0 |
