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Tanzania [10]
3 years ago
10

What is the commutative, associative, and distributive property of 3a plus 5a plus 2b

Mathematics
2 answers:
anyanavicka [17]3 years ago
5 0
Question: What is the commutative, associative, and distributive property of 3a plus 5a plus 2b0.


Answer:Defintion of  Commutative property holds for both addition and multiplication. That is: the operations addition and multiplication are commutative over the set of real numbers. That means, for any two real numbers x and. y, x + y = y + x and xy = yx. Definiton of associative In mathematics, the associative property is a property of some binary operations. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs and distrive property means The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses. I really hope this helped thx for the question!
VLD [36.1K]3 years ago
3 0
Commutative: a+b=b+a
associative: (a+b)+c=a+(b+c)
distributive: ab+ac=a(b+c)

so
3a+5a+2b
we can show distributive with the a terms
3a+5a=a(3+5)=8a
8a+2b
we can distribute again
2(4a)+2b=2(4a+b)

not sure how to show commutative or associative
I guess
3a+5a+2b=2b+3a+5a
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Answer:

Inductive conclusion has been proved to be correct.

Step-by-step explanation:

From the question, we have seen that 3 + 5 = 8

3 and 5 are odd numbers while 8 is an even number.

Which means that the sum of both odd numbers gave and even number.

In the second case, we see that;

13 + 5 = 18

Again,13 and 5 are both odd numbers while 18 is an even number.

Now, Inductive Reasoning is a reasoning that is based on patterns one has observed which would be used to derive a general conclusion. In this question, the pattern observed is that the sum of odd numbers in both cases are equal to an even number.

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