define with simple examples commutative,associative and distributive properties.
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COMMUTATIVE
a+b=b+a
a×b=b×a
a-b≠b-a
a÷b≠b÷a
1+2=2+1=3
1×2=2×1=2
2-1=1≠1-2= -1
10÷2=5≠2÷10=2/10
Associative
a+(b+a)=(a+b)+a=1+(2+3)=(1+2)+3=6
and also works for multiplaction
(5×2)×1=5×(2×1)=10
Distributive
a×b+a×c=a(b+c)
it also works when + is changed by -
1(9+1)=1×9+1×1=9=1=10
a+b=b+a
a×b=b×a
a-b≠b-a
a÷b≠b÷a
1+2=2+1=3
1×2=2×1=2
2-1=1≠1-2= -1
10÷2=5≠2÷10=2/10
Associative
a+(b+a)=(a+b)+a=1+(2+3)=(1+2)+3=6
and also works for multiplaction
(5×2)×1=5×(2×1)=10
Distributive
a×b+a×c=a(b+c)
it also works when + is changed by -
1(9+1)=1×9+1×1=9=1=10
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Answer:
- Commutative laws say we can swap numbers, and you still get the same number when you add, for example, a+b = b+a and same for multiplication.
- Associative laws say it does not matter how we group the number final value will remain the same, for example, (a+b)+c = (a+b)+c , and same for multiplication
- Distributive laws say that we can have the same answer while multiplying a number by a group of numbers added together or multiplying them separately and then add them, For example, a x ( b+c) = axb + axc
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