[[$ a+b=b+a,\quad ab=ba $]] |
additive commutative property
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[[$ a +(b+c) = (a+b)+c, \quad a(bc)=(ab)c \quad $]] |
additive associative property
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[[$ a(b+c)=ab+ac $]] |
multiplicative associative property
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[[$ a+(-a)=0 $]] |
number a's opposite number –a
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[[$ a \cdot \dfrac{1}{a}=1 $]] |
number a's reciprocal[[$ \dfrac{1}{a} \quad (a \neq 0) $]]
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[[$ |a| $]] |
absolute value
Graphical interpretation: [[$ |a| $]] = number a's points
distance from zero
![Absolute value.](https://peda.net/qis/2022-2023/mathematics/matematiikka-8/taulukko-osio/rl/itseisarvo-png:file/photo/6417da7e984f9400d0293406fec742102d2926e5/taulukko_itseisarvo.png) |