In mathematics, and in particular in abstract algebra, distributivity is a property of binary operations that generalises the distributive law from elementary algebra.
In the left-hand side of the above equation, the 2 multiplies the sum of 1 and 3; on the right-hand side, it multiplies the 1 and the 3 individually, with the results added after wards. Because these give the same final answer (8), we say that multiplication by 2 distributes over addition of 1 and 3. Since we could have put any real numbers in place of 2, 1, and 3 above, and still have obtained a true equation, we say that multiplication of real numbers distributes over addition of real numbers.
Let's a example problem from 7th grade math equations
Solve for x
-4(2-3x)=7-2(x-3)
by using distributive law
Answer:-
Let's have a look at the answer from algebra answers
-4(2-3x)=7-2(x-3)
-8+12x=7-2x+6
-8+12x=13-2x
+8 +8
---------------
12x=21-2x
+2x +2x
----------------
14x=21
x= 21/14
= 3/2
is the answer.
Similarly we have associative property of addition ,which helps on addition of
different equations,
In the left-hand side of the above equation, the 2 multiplies the sum of 1 and 3; on the right-hand side, it multiplies the 1 and the 3 individually, with the results added after wards. Because these give the same final answer (8), we say that multiplication by 2 distributes over addition of 1 and 3. Since we could have put any real numbers in place of 2, 1, and 3 above, and still have obtained a true equation, we say that multiplication of real numbers distributes over addition of real numbers.
Let's a example problem from 7th grade math equations
Solve for x
-4(2-3x)=7-2(x-3)
by using distributive law
Answer:-
Let's have a look at the answer from algebra answers
-4(2-3x)=7-2(x-3)
-8+12x=7-2x+6
-8+12x=13-2x
+8 +8
---------------
12x=21-2x
+2x +2x
----------------
14x=21
x= 21/14
= 3/2
is the answer.
Similarly we have associative property of addition ,which helps on addition of
different equations,
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