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GED Math : Order of Operations

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Example Question #31 : Order Of Operations

Simplify:

$(7-3)^2+9\div 3 \times 2-1$

Possible Answers:

16.5

Correct answer:

Explanation:

Make sure to follow the order of operations.

Start by simplifying anything found within parentheses.

$(7-3)^2+9\div 3 \times 2-1$

$=(4)^2+9\div 3 \times 2-1$

Next, take care of exponents.

$=16+9\div 3 \times 2-1$

Then, multiply and divide.

=16+6-1

Finally, add and subtract.

=21

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Example Question #31 : Order Of Operations

Simplify the following expression:

$(4-6)^2\times3+2\times 1+(9\div 3)$

Possible Answers:

Correct answer:

Explanation:

Recall the order of operations. Simplify the parenthetical terms first.

$(4-6)^2\times3+2\times 1+(9\div 3)=(-2)^2\times3+2\times 1+(3)$

Next, tackle the exponents.

$(-2)^2\times3+2\times 1+(3)=4\times3+2\times 1+(3)$

Then, multiply and divide where needed.

$4\times3+2\times 1+(3)=12+2+3$

Finally, add.

12+2+3=17

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Example Question #33 : Order Of Operations

Solve

$(1+2)\cdot3-4^2=?$

Possible Answers:

Correct answer:

Explanation:

Recall our order of operations, PEMDAS:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

So for our equation, let's do the parenthesis first

$(1+2)\cdot3-4^2=?$

$(3)\cdot3-4^2=?$

Now exponents

$(3)\cdot3-16=?$

Now multiplication

9-16=?

No division, no addition, so let's do subtraction

-7=?

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Example Question #31 : Complex Operations

Compute: 2^3+(4-2*5)+(-3)^2+(4)^2

Possible Answers:

Correct answer:

Explanation:

Use PEMDAS:

Parentheses, Exponents, Multiply, Divide, Add, Subtract

2^3+(4-2*5)+(-3)^2+(4)^2

Start with the parentheses:

2^3+(4-10)+(-3)^2+4^2

More parentheses:

2^3+(-6)+(-3)^2+16

Exponents:

8+(-6)+9+16

Add/Subtract:

$8-6+9+16\rightarrow 2+25=27$

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GED Math : Order of Operations

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #31 : Order Of Operations

Example Question #31 : Order Of Operations

Example Question #33 : Order Of Operations

Example Question #31 : Complex Operations

All GED Math Resources

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