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Pre-Algebra : Order of Operations

Study concepts, example questions & explanations for Pre-Algebra

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11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #12 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$(8+4)\times2$

Possible Answers:

Correct answer:

Explanation:

$(8+4)\times2$

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication.

8+4=12

$12\times2=24$

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Example Question #82 : Operations & Algebraic Thinking

Select the equation that reflects the phrase below.

more than times .

Possible Answers:

$(3+8)\times7$

$(3+7)\times 8$

$3-8\times7$

$3\times8\times7$

$3+8\times7$

Correct answer:

$3+8\times7$

Explanation:

more than times is the same as $3+8\times 7$ because more means to add and times means muitpilcation.

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Example Question #83 : Operations & Algebraic Thinking

Select the equation that reflects the phrase below.

minus , then multiply .

Possible Answers:

$5-10\div20$

$20\times(10+5))$

$20\div(10+5)$

$20\div(10-5)$

$20\times(10-5)$

Correct answer:

$20\times(10-5)$

Explanation:

We want to first subtract and , so we need to set that in parentheses because of the order of operations. Then we can multiply by 20.

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Example Question #3 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Select the equation that reflects the phrase below.

First divide and , then multiply .

Possible Answers:

$21\div(7\times3)$

$21\div7\times3$

$21\div3\times7$

$21\div7\div3$

$7\div3\times21$

Correct answer:

$21\div3\times7$

Explanation:

Because of order of operations, when we have division and mulitplication, we work left to right. So we can first write divided by and then we can multiple by .

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Example Question #3 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Select the equation that reflects the phrase below.

First subtract and then dvide by .

Possible Answers:

$10+7\div1$

$10+7\times1$

$(10-7)\times1$

$(10-7)\div1$

$10-7\div1$

Correct answer:

$(10-7)\div1$

Explanation:

Because we want to subtract and , we need to set that off into parentheses so that operation comes before we divide by .

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Example Question #74 : Operations And Properties

Select the equation that reflects the phrase below.

First subtract and , then divide .

Possible Answers:

$(21+1)\div5$

$21-1\div5$

$(21-1)\times5$

$(21-1)\div5$

$21+1\div5$

Correct answer:

$(21-1)\div5$

Explanation:

Because we want to subtract and first, we need to set that off into parentheses due to the order of operation rules. Then we can do the division of .

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Example Question #71 : Order Of Operations

Select the equation that reflects the phrase below.

First multiply and then divide by .

Possible Answers:

$5\times6\div10$

$5\times6\times10$

$5\div10\times6$

$5\div6\div10$

$5\times(6\div10)$

Correct answer:

$5\times6\div10$

Explanation:

Because of the order of operations, when we have multiplication and division we work from right to left. Since we first want to multiple and , we do $5\times 6$ then we do the $\div10$

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Example Question #72 : Order Of Operations

Select the equation that reflects the phrase below.

First add and , then multiply by .

Possible Answers:

$52+10\times3$

$52+(10\times3)$

$(52\times10)\times3$

$(52+10)\div3$

$(52+10)\times3$

Correct answer:

$(52+10)\times3$

Explanation:

Because we want to add and first, we need to set that off into parentheses due to the order of operation rules. Then we can do the multiplication of .

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Example Question #77 : Operations And Properties

Select the equation that reflects the phrase below.

First subtract and , then multiply by

Possible Answers:

$19-3\times5$

$(19+3)\times5$

$(19-3)\div5$

$(19-3)\times5$

$19-(3\times5)$

Correct answer:

$(19-3)\times5$

Explanation:

Because we want to subtract and first, we need to set that off into parentheses due to the order of operation rules. Then we can do the multiplication of .

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Example Question #78 : Operations And Properties

Select the equation that reflects the phrase below.

First add to then divide by .

Possible Answers:

$(12-4)\div4$

$12+(4\div4)$

$(12+4)\times4$

$12\div4+4$

$(12+4)\div4$

Correct answer:

$(12+4)\div4$

Explanation:

Because we want to add and first, we need to set that off into parentheses due to the order of operation rules. Then we can do the division by .

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Pre-Algebra : Order of Operations

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #12 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Example Question #82 : Operations & Algebraic Thinking

Example Question #83 : Operations & Algebraic Thinking

Example Question #3 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Example Question #3 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Example Question #74 : Operations And Properties

Example Question #71 : Order Of Operations

Example Question #72 : Order Of Operations

Example Question #77 : Operations And Properties

Example Question #78 : Operations And Properties

All Pre-Algebra Resources

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