Mathematical Operations Flashcards

1
Q

number
digit
figure
numeral

A

Zahl (Oberbegriff)
Zahlen von 0-9
Betrag, Zahlenangabe
Zahlensymbol

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2
Q

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

A

ganze Zahl
rationale Zahl
irrationale Zahl
Primzahl
Unbekannte

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3
Q

units
tens
hundreds

Nowadays, Arabic numerals are used because of the
functional gap filler “zero”, which differentiates between
units, tens and hundreds.

A

Einer
Zehner
Hunderter

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4
Q

one half (two halves)
one third (two thirds)
fourth (two fourths)
fifth

½, or one half and other such fractions are rational
numbers.

A

Hälfte
Drittel
Viertel
Fünftel

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5
Q

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“.

A

null, nichts
in Zahlenreihen
a technical zero
BE: null (v. d. Komma)
Punktestand b. Tennis
in Sportergebnissen

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6
Q

arithmetic(s)
Arithmetics deals with the four basic operations.

A

Rechnen mit den
Grundrechenarten

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7
Q

calculation
→ to calculate
1+2=3 is a simple calculation.

A

Berechnung
→ berechnen

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8
Q

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

A

Addition
→ addieren
Subtraktion
→ subtrahieren
Multiplikation
→ multiplizieren
Division
→ multiplizieren

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9
Q

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

A

Assoziativgesetz
Kommutativgesetz
Distributivgesetz

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10
Q

equation
→ equal
→ to equal
Both sides of an equation must be equal:
3 plus 4 equals 7.

A

Gleichung
→ gleich
→ gleich sein

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11
Q

formula (pl: formulae)
Albert Einstein proposed his famous formula, E = mc^2,
concerning mass–energy equivalence in 1905.

A

Formel

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12
Q

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.

A

Bruch
Bruchstrich
Zähler
Nenner

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13
Q

decimal fraction
→ decimal point
Written as a decimal fraction, ½ is 0.5.
English uses a decimal point!

A

Dezimalbruch
→ Dezimalzeichen

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14
Q

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.

A

echter Bruch
unechter ~

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15
Q

recurring / repetitive
One over three is nought point three recurring.

A

Periode, wiederholend

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15
Q

to convert / change into
The improper fraction 3/2
can be converted into a
mixed number.

A

umwandeln, konvertieren

16
Q

all over
bracket term
(a + b)/x
is: “open bracket, a plus b, close bracket all over x”.

A

alles über
Klammerausdruck

17
Q

to cancel (down / out) /
to reduce by

A

kürzen um

18
Q

to extend by

A

erweitern um

19
Q

to factor out

A

ausklammern

20
Q

powers
n squared
n cubed
to the (power of) n

A

Exponentialfunktionen
n Quadrat
n hoch 3
hoch n

21
Q

roots
to calculate a root
square root
cubic/cube
n^th root

A

Wurzeln
eine Wurzel ziehen
Quadratwurzel
Kubikwurzel
n^te Wurzel

22
Q

sub

A

Index, tiefgestellt

23
Q

integral

A

Integral

24
Q

to square the circle
Squaring the circle is a problem proposed by ancient
geometers. The expression is also used if something is quite
impossible to achieve.

A

die Quadratur des Kreises
erreichen