Syed R. answered • 04/19/16

Experienced Math, Science, SAT, ACT, Programming Tutor plus Scientist

- Parenthesis
- Exponent
- Multiply/divide
- Add/Subtract

Monica S.

asked • 04/19/16Does it have the same answer?

I dont think so but im not really sure

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Syed R. answered • 04/19/16

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Experienced Math, Science, SAT, ACT, Programming Tutor plus Scientist

4*(1+3^2) = 4*(1+9) = 4*10 = 40

4*(1+3)^2 = 4*4^2 = 4*16 = 64

Yes, You are right. They do not have same answer. When it comes to order of operations, you do:

- Parenthesis
- Exponent
- Multiply/divide
- Add/Subtract

If one of these occur more than once in an expression, start with left most and finish on the right side.

Mark M. answered • 04/19/16

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Mathematics Teacher - NCLB Highly Qualified

4(1 + 3^{2})

4(1 + 9)

4(10)

4(10)

40

4(1 + 3)^{2}

4(4)^{2}

4(16)

64

Andrew M. answered • 04/19/16

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New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

No they do not due to the grouping parenthesis.

There is an acronym for remembering the order

of operations: **PEMDAS**

Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction.

First you work the inside of any grouping parenthesis while

following the rest of the order above. Then you do any

exponents. Then **from left to right** you work any multiplication

and/or division in the order in which you encounter them. Lastly,

you work left to right the addition and/or subtraction.

(1+3^{2}) = 1+9 = 10

because the exponent is inside the parenthesis and is

thus not applied to the entire total, but only the 3

(1+3)^{2} = 4^{2} = 16

Since the exponent is outside the parenthesis it is

applied to the entire total of the equation inside.

This means that:

4*(1+3^{2}) = 4(10) = 40

4(1+3)^{2} = 4(4)^{2} = 4(16) = 64

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