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ISEE Middle Level Quantitative : Orders of Operations

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Operations & Algebraic Thinking

Solve:

$13+2\times5+(35-10)$ $\displaystyle 13+2\times5+(35-10)$

Possible Answers:

$\displaystyle 39$

$\displaystyle 48$

$\displaystyle 22$

100 $\displaystyle 100$

$\displaystyle 56$

Correct answer:

$\displaystyle 48$

Explanation:

$13+2\times5+(35-10)$ $\displaystyle 13+2\times5+(35-10)$

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

$\displaystyle 35-10=25$

$2\times5=10$ $\displaystyle 2\times5=10$

$\displaystyle 13+10+25=48$

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Example Question #2 : Operations & Algebraic Thinking

Solve:

$6\div(5-2)$ $\displaystyle 6\div(5-2)$

Possible Answers:

$\displaystyle 1$

$\displaystyle 6$

$\displaystyle 12$

$\displaystyle 13$

$\displaystyle 2$

Correct answer:

$\displaystyle 2$

Explanation:

$6\div(5-2)$ $\displaystyle 6\div(5-2)$

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

5-2=3 $\displaystyle 5-2=3$

$6\div3=2$ $\displaystyle 6\div3=2$

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

Solve:

$8+(6-3)\times 7$ $\displaystyle 8+(6-3)\times 7$

Possible Answers:

$\displaystyle 13$

$\displaystyle 34$

$\displaystyle 29$

$\displaystyle 77$

$\displaystyle 63$

Correct answer:

$\displaystyle 29$

Explanation:

$8+(6-3)\times 7$ $\displaystyle 8+(6-3)\times 7$

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

6-3=3 $\displaystyle 6-3=3$

$3\times7=21$ $\displaystyle 3\times7=21$

8+21=29 $\displaystyle 8+21=29$

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Example Question #2 : Common Core Math: Grade 5

Solve:

$100\div(75-25)$ $\displaystyle 100\div(75-25)$

Possible Answers:

$\displaystyle 5$

100 $\displaystyle 100$

$\displaystyle 50$

$\displaystyle 2$

$\displaystyle 25$

Correct answer:

$\displaystyle 2$

Explanation:

$100\div(75-25)$ $\displaystyle 100\div(75-25)$

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

$\displaystyle 75-25=50$

$100\div50=2$ $\displaystyle 100\div50=2$

Report an Error

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

Solve:

$12\times(6-2)$ $\displaystyle 12\times(6-2)$

Possible Answers:

$\displaystyle 68$

$\displaystyle 70$

$\displaystyle 48$

$\displaystyle 50$

$\displaystyle 52$

Correct answer:

$\displaystyle 48$

Explanation:

$12\times(6-2)$ $\displaystyle 12\times(6-2)$

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

6-2=4 $\displaystyle 6-2=4$

$12\times4=48$ $\displaystyle 12\times4=48$

Report an Error

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

Solve:

$16+(24-4)\div5$ $\displaystyle 16+(24-4)\div5$

Possible Answers:

$\displaystyle 7$

$\displaystyle 15$

$\displaystyle 9$

$\displaystyle 20$

$\displaystyle 16$

Correct answer:

$\displaystyle 20$

Explanation:

$16+(24-4)\div5$ $\displaystyle 16+(24-4)\div5$

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the division, and then the addition.

24-4=20 $\displaystyle 24-4=20$

$20\div5=4$ $\displaystyle 20\div5=4$

16+4=20 $\displaystyle 16+4=20$

Report an Error

Example Question #2 : Operations & Algebraic Thinking

Solve:

$3\times(36-18)$ $\displaystyle 3\times(36-18)$

Possible Answers:

$\displaystyle 94$

$\displaystyle 90$

$\displaystyle 54$

$\displaystyle 56$

$\displaystyle 62$

Correct answer:

$\displaystyle 54$

Explanation:

$3\times(36-18)$ $\displaystyle 3\times(36-18)$

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

$\displaystyle 36-18=18$

$3\times18=54$ $\displaystyle 3\times18=54$

Report an Error

Example Question #3 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$2\times (50-25)\div5$ $\displaystyle 2\times (50-25)\div5$

Possible Answers:

$\displaystyle 35$

$\displaystyle 30$

$\displaystyle 20$

$\displaystyle 25$

$\displaystyle 10$

Correct answer:

$\displaystyle 10$

Explanation:

$2\times (50-25)\div5$ $\displaystyle 2\times (50-25)\div5$

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

$\displaystyle 50-25=25$

$25\times2=50$ $\displaystyle 25\times2=50$

$50\div5=10$ $\displaystyle 50\div5=10$

Report an Error

Example Question #2 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$3\times(5+9)$ $\displaystyle 3\times(5+9)$

Possible Answers:

$\displaystyle 40$

$\displaystyle 42$

$\displaystyle 38$

$\displaystyle 28$

$\displaystyle 30$

Correct answer:

$\displaystyle 42$

Explanation:

$3\times(5+9)$ $\displaystyle 3\times(5+9)$

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

5+9=14 $\displaystyle 5+9=14$

$3\times14=42$ $\displaystyle 3\times14=42$

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Example Question #11 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$13-(2\times5)$ $\displaystyle 13-(2\times5)$

Possible Answers:

$\displaystyle 10$

$\displaystyle 55$

$\displaystyle 1$

$\displaystyle 70$

$\displaystyle 3$

Correct answer:

$\displaystyle 3$

Explanation:

$13-(2\times5)$ $\displaystyle 13-(2\times5)$

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

$2\times5=10$ $\displaystyle 2\times5=10$

13-10=3 $\displaystyle 13-10=3$

Report an Error

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All ISEE Middle Level Quantitative Resources

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ISEE Middle Level Quantitative : Orders of Operations

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #1 : Operations & Algebraic Thinking

Example Question #2 : Operations & Algebraic Thinking

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

Example Question #2 : Common Core Math: Grade 5

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

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

Example Question #2 : Operations & Algebraic Thinking

Example Question #3 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Example Question #2 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Example Question #11 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

All ISEE Middle Level Quantitative Resources

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