(3+5)2  

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lorrainecaplan's profile pic

Lorraine Caplan | College Teacher | (Level 1) Educator Emeritus

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In order to find the answer to this problem, you need to understand what we call the order of operations.  When you are presented with different operations, you must know what order in which to do them.  If people solved math problems by doing different operations in different orders, they would all get different answers, not a good result. 

The order of operations is as follows:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

This means that when presented with these choices, you do the operations in exactly that order.  We have a sentence that helps us to remember the order of operations:

      Please Excuse My Dear Aunt Sally

This sentence has words with begin with the same letters as the operations, in just the right order.  That is called a mnemonic device, which helps us to keep the information in our minds. 

Now, your problem has parentheses in it, and whatever is in parentheses must be done first.   All you need to do is add the numbers in parentheses and then multiply the result times two.  You will then have done your problem in the correct order of operations. 

kjcdb8er's profile pic

kjcdb8er | Teacher | (Level 1) Associate Educator

Posted on

When you have parenthesis, the math operations inside the parenthesis must be completed first. When there isn't a math operation specified, it is assumed to be multiplication. 3 + 5 = 8. So,

(3 + 5)2 = (8)*2 = 16

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products. So you can also solve this problem by multiplying the "2" to everything inside the parenthesis, and then adding, like so:

(3 + 5)2 = (3*2 + 5*2) = 6 + 10 = 16

malkaam's profile pic

malkaam | Student, Undergraduate | (Level 1) Valedictorian

Posted on

(3+5)2

You need to follow the order of operations to solve this i.e PEMDAS a.k.a BODMAS.

PEMDAS = Parenthesis Exponents Multiplication Division Addition Subtraction

BODMAS = Brackets of Division Multiplication Addition Subtraction.

(3+5)2

Is 2 the power or is it multiplication, since it's not clear i'll do it both ways.

(3+5)2

(8)2

16 Answer

OR (if the 2 is the power then)

(3+5)^2

8^2

64.

ik9744's profile pic

ik9744 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

(3 + 5)2               You would need to follow the order of PEMDAS

Parenthesis          [3+5] is in Parenthesis you would need to start w/ this

Exponents            None

Multipication         [8]2 = 16 

Division                None

Addition               None

Subtraction           None 

Your answer is 16

jess1999's profile pic

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

( 3 + 5 )2

To solve this equation remember the order of PEMDAS

Parenthesis

Exponents

Multipication

Division

Addition

Subtraction

By following PEMDAS one should complete what is inside the parenthesis first. Which is by adding the 3 and the 5. By adding those two number you'll be getting

(8) 2 Now multiply 8 and 2 which will give you 16

16 = answer

Wiggin42's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

(3+5)2

To solve this, you must know the order of operations : 

Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction

You can use this to help remember : Please Excuse My Dear Aunt Sally 

Lets do what is inside the parenthesis first. In this case, its just a simple addition. 

(8)2

Now we can distribute the 2 to get : 

16

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

Follow PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

(3+5)2

parentheses first

(8)2 

the two numbers being close like that without a sign means multiplication.

8 x 2 = 16

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