MATHEMATICS HIGH SCHOOL

Which equation shows an example of the associative property of addition?a.(–4 + i) + 4i = –4 + (i + 4i)
b.(–4 + i) + 4i = 4i + (–4i + i)
c.4i × (–4i + i) = (4i – 4i) + (4i × i)
d.(–4i + i) + 0 = (–4i + i)

Answers

Answer 1
Answer:

The associative property states that we can regroup the terms of an expression and obtain the same result.

We have then:

a + (b + c) = (a + b) + c

The expression that complies with this property is given by:

(-4 + i) + 4i = -4 + (i + 4i)

Answer:

An equation that shows an example of the associative property of addition is:

a. (- 4 + i) + 4i = -4 + (i + 4i)
Answer 2
Answer:

The correct option is \boxed{\bf option (a)} i.e., \boxed{\left({-4+i}\right)+4i=-4+\left({i+4i}\right)}.

Further explanation:

Concept used:

The associative property of the addition states that the addition of numbers cannot affect by the grouping of the number.

\boxed{A+\left({B+C}\right)=\left({A+B}\right)+C}

Here, in the above equation the value of A+\left({B+C}\right) is always equal to the value of \left({A+B}\right)+C whether the grouping of number is changes or not.

Calculation:

Now check the option to get the answer.

First check option (a)

\left({-4+i}\right)+4i=-4+\left({i+4i}\right)

In the above equation the grouping of the number is changed.

Now check the values of left hand side and right hand side.

\begin{aligned}\left({-4+i}\right)+4i&=-4+\left({i+4i}\right)\n-4+5i&=-4+5i\end{gathered}

The value of LHS is same as RHS.

Therefore, option (a) is correct.

Now check option (b)

(-4+i)+4i=4i+(-4i+i)

The term i should be associated with 4i but it is associated with -4i.

Therefore the option (b) is incorrect.

Now check option (c)

4i* (-4i+i)=(4i-4i)+(4i* i)

The above expression does not follow any property.

Therefore the option (c) is incorrect.

Now check option (d)

(-4i+i)+0=-4i+i

The above expression follows additive property not associative property.

Therefore the option (d) is incorrect.

Thus, the correct option is \boxed{\bf option (a)} i.e., \boxed{\left({-4+i}\right)+4i=-4+\left({i+4i}\right)}.

Learn more:

1. A problem on simplification: brainly.com/question/573729

2. A problem on domain and range: brainly.com/question/3412497

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Simplification

Keywords: Associative property, equation, property, addition, associative property of Addition, additive property, grouping terms, left hand side, right hand side, LHS, RHS.

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Eric reported that Joan won her first match in the chess tournament, but she won fewer than 8 matches altogether. Eric wrote the inequality m < 8 to represent the possible number of matches Joan wonWhich numbers satisfy the inequality but make no sense in this situation?.

Answers

The choices were: -1 , -7, 4, 0

m < 8

The numbers that satisfies the inequality but makes no sense in this situation are -1, -7, and 0.

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-1 1/6 - (-2 1/3) =Please explain how you got the answer! :)

I need the answer quickly!!!

Answers

HI Brainiac


-1 1/6 -(-2 1/3)

= -7/6 -(-7/3)

= -7/6 - -7/3

= 7/6


I hope that's help:0

Please ask me any questions you want.

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Answers

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What is sum?

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To know more about Sum

brainly.com/question/13013054

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Answers

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Answers

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