Introduction Flashcards

1
Q

Variable

A

Placeholder

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2
Q

Natural

A

All positive whole numbers

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3
Q

Integer

A

All whole numbers
Represented with Z

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4
Q

Rational

A

m/n (fractions)
with m and n being integer and n not being 0.
Represented with Q

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5
Q

Real

A

Distance between points of a number line (all possible REAL numbers).
Represented with R

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6
Q

Adding + or - or nonneg to number representations

A

R+ denotes all real numbers that are positive, R- means all that are negative, Rnonneg means no negatives.

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7
Q

a/b + c/d

A

ad/bd + bc/bd = ad+bc/bd

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8
Q

a/b * c/d

A

ac/bd

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9
Q

a/b * c/d

A

ad/bc

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10
Q

a^b*a^c

A

a^b+c

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11
Q

(a^b)^c

A

a^b*c

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12
Q

Factorisation (AC Method)

A

x^2 + 3x + 2
a = 1
b = 3
c = 2
ac = 21 = 2
Find factors of 2 which can be added to make 3
If a*c was 28, and b was 16, it would be 14 and 2
In this case:
2 + 1 = 3
2 * 1 = 2
So (x + 1)(x+2)

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