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Mathematics 14 Online
OpenStudy (anonymous):

20-(-2)^2/(7-9)*13

OpenStudy (mathstudent55):

This is what you wrote. Is this what you mean with the 20 to the left not in the fraction? What about the 13? Is it in the denominator, or does it just multiply the fraction? \( 20 -\dfrac{(-2)^2}{(7 - 9)} \times 13 \)

OpenStudy (anonymous):

\[20-(-2)^2\div(7-9)*13\]

OpenStudy (mathstudent55):

Ok, let's start.

OpenStudy (mathstudent55):

What is \( (-2)^2 =\) ?

OpenStudy (anonymous):

Parenthesis with an exponent

OpenStudy (anonymous):

xD

OpenStudy (anonymous):

I mean

OpenStudy (anonymous):

4

OpenStudy (mathstudent55):

Right. Notice the number being squared is -2. \( (-2)^2 = (-2) \times (-2) \) What is that equal to?

OpenStudy (mathstudent55):

Ok, you got it. Also what is 7 - 9 = ?

OpenStudy (anonymous):

-2

OpenStudy (mathstudent55):

Great. Now we can include that in our next step. \( 20-\color{red}{(-2)^2}\div \color{green}{(7-9)}*13\) \( = 20- \color{red}{4} \div \color{green}{(-2)} *13 \) I used colors to clarify we have done so far. Ok, so far?

OpenStudy (anonymous):

Yes

OpenStudy (mathstudent55):

All we have left to do is a subtraction, a division, and a multiplication. Now we do multiplications and divisions in they order they appear from left to right.

OpenStudy (anonymous):

so -4/-2?

OpenStudy (mathstudent55):

Correct.

OpenStudy (mathstudent55):

No, wait. The minus sign is the subtraction. Do just 4 / (-2)

OpenStudy (mathstudent55):

\( = 20- \color{red}{4} \div \color{green}{(-2)} *13 \) \( = 20- \color{red}{4 \div (-2)} *13 \) \( = 20- \color{red}{(-2)} *13 \)

OpenStudy (mathstudent55):

Now we do the multiplication. \( = 20- \color{red}{(-2) *13} \) \( = 20- \color{red}{(-26)} \) Now we do the subtraction. \(= 20 + 26\) \(= 46\)

OpenStudy (anonymous):

Thx :)

OpenStudy (mathstudent55):

wlcm

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