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High School Math : How to use the order of operations in pre-algebra

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Example Questions

Example Question #11 : How To Use The Order Of Operations In Pre Algebra

Evaluate the following expression:

$3\cdot ( 3+ 2)^{2}$

Possible Answers:

225

Correct answer:

Explanation:

Recall the order of operations. PEMDAS indicates that first parentheses, then exponents, then multiplication and division, followed by addition and subtraction, should be completed. We follow this process with this problem.

$3(3 + 2)^{2} = 3(5)^{2} = 3(25) = 75$

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Example Question #31 : High School Math

Evaluate the following expresssion.

$(4 - 7)^{2}$

Possible Answers:

$\frac{1}{9}$

Correct answer:

Explanation:

Recall the order of operations (PEMDAS). We want to combine the terms inside our parentheses first. Thus, 4 - 7 = -3 so we have our expression equivalent to:

$(-3)^{2} = 9$ . Don't forget to keep the in parentheses after you get it as the sum.

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Example Question #16 : Operations

$3-7\ast8+4\div2=?$

Possible Answers:

Correct answer:

Explanation:

Remember the order of operations: "PEMDAS” or "Please Excuse My Dear Aunt Sally" stands for "Parentheses, Exponents, Multiplication and Division, Addition and Subtraction".

$3-7\ast8+4\div2=?$

$3-\left (7\ast8 \right )\left +(4\div2 \right )=$

3-56+2=

-53+2=-51

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Example Question #17 : Operations

Simplify:

$6-(2+5^{2})$

Possible Answers:

Correct answer:

Explanation:

Follow the order of operations.

First take care of any exponents:

$6-(2+5^{2})$

= 6 - (2 + 25)

Then perform the operations in parentheses:

= 6 - 27

= -21

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Example Question #33 : High School Math

12+4^2=

Possible Answers:

256

Correct answer:

Explanation:

In terms of order of operations, you must first perform the exponent portions and then add to the 12:

4^2=16

16+12=28

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Example Question #34 : High School Math

Simplify $\frac{8-(3*4)^-^1}{4-3^-^2^}$

Possible Answers:

$\frac{5}{12}$

$\frac{95}{12}$

$\frac{281}{14}$

$\frac{57}{28}$

Correct answer:

$\frac{57}{28}$

Explanation:

Applying the Order of Operations to the numerator, we get:

8-(3*4)^-^1

8 - 12^-^1

$8-\frac{1}{12}$

$\frac{96}{12} - \frac{1}{12}$

$\frac{95}{12}$

Applying the Order of Operations to the denominator, we get:

4-3^-^2

$4-\frac{1}{9}$

$\frac{36}{9} - \frac{1}{9}$

$\frac{35}{9}$

We divide these fractions to get:

$\frac{95}{12} \cdot \frac{9}{35}=\frac{19}{4}\cdot \frac{3}{7}=\frac{57}{28}$

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High School Math : How to use the order of operations in pre-algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #11 : How To Use The Order Of Operations In Pre Algebra

Example Question #31 : High School Math

Example Question #16 : Operations

Example Question #17 : Operations

Example Question #33 : High School Math

Example Question #34 : High School Math

All High School Math Resources

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