Mathematical Operations Flashcards
number
digit
figure
numeral
Zahl (Oberbegriff)
Zahlen von 0-9
Betrag, Zahlenangabe
Zahlensymbol
whole number / integer
rational number
irrational number
prime number
unknown
1, 2, 3, 4,… are integers.
½ and other whole-number fractions are rational numbers
whereas π is an irrational number having an endless
number of figures after the decimal.
2, 3, 5, 7,… are prime numbers.
3y = 4x + 5 is an equation in two unknowns
ganze Zahl
rationale Zahl
irrationale Zahl
Primzahl
Unbekannte
units
tens
hundreds
…
Nowadays, Arabic numerals are used because of the
functional gap filler “zero”, which differentiates between
units, tens and hundreds.
Einer
Zehner
Hunderter
one half (two halves)
one third (two thirds)
fourth (two fourths)
fifth
…
½, or one half and other such fractions are rational
numbers.
Hälfte
Drittel
Viertel
Fünftel
zero
“oh”
null
nought
“love”
nil
Temperature is 3° below zero.
5031 → “five oh three one”.
a null set, ~ sequence, ~ result.
0.05 → “nought point oh five“.
null, nichts
in Zahlenreihen
a technical zero
BE: null (v. d. Komma)
Punktestand b. Tennis
in Sportergebnissen
arithmetic(s)
Arithmetics deals with the four basic operations.
Rechnen mit den
Grundrechenarten
calculation
→ to calculate
1+2=3 is a simple calculation.
Berechnung
→ berechnen
addition
→ to add to
subtraction
→ to subtract from
multiplication
→ to multiply by
division
→ to divide by
You add one number to another number.
→ x plus y
You subtract one number from another no.
→ x minus y
You multiply one number by another number.
→ x times / multiplied by y
You divide one number by another number.
→ x divided by y
Addition
→ addieren
Subtraktion
→ subtrahieren
Multiplikation
→ multiplizieren
Division
→ multiplizieren
associative law / principle
commutative law / ~
distributive law / ~
The associative law states that (a +b) +c = a +(b +c).
The commutative law states that a + b = b + a.
The distributive law states that (a + b) c = ac + bc
Assoziativgesetz
Kommutativgesetz
Distributivgesetz
equation
→ equal
→ to equal
Both sides of an equation must be equal:
3 plus 4 equals 7.
Gleichung
→ gleich
→ gleich sein
formula (pl: formulae)
Albert Einstein proposed his famous formula, E = mc^2,
concerning mass–energy equivalence in 1905.
Formel
fraction
line of fraction
numerator
denominator
½ is a fraction with 1 being the numerator and 2 being
the denominator. In between there is the line of fraction.
Bruch
Bruchstrich
Zähler
Nenner
decimal fraction
→ decimal point
Written as a decimal fraction, ½ is 0.5.
English uses a decimal point!
Dezimalbruch
→ Dezimalzeichen
proper fraction
improper ~
In a proper fraction the numerator is smaller than the
denominator, while if the numerator is larger than the
denominator we would call it an improper fraction.
echter Bruch
unechter ~
recurring / repetitive
One over three is nought point three recurring.
Periode, wiederholend