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

Solve:

$1\times (54-33)\div3$ $\displaystyle 1\times (54-33)\div3$

Possible Answers:

$\displaystyle 7$

$\displaystyle 30$

$\displaystyle 43$

$\displaystyle 3$

$\displaystyle 27$

Correct answer:

$\displaystyle 7$

Explanation:

$1\times (54-33)\div3$ $\displaystyle 1\times (54-33)\div3$

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

$\displaystyle 54-33=21$

$1\times21=21$ $\displaystyle 1\times21=21$

$21\div3=7$ $\displaystyle 21\div3=7$

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Example Question #43 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$4\times(66-54)$ $\displaystyle 4\times(66-54)$

Possible Answers:

$\displaystyle 40$

$\displaystyle 32$

$\displaystyle 56$

$\displaystyle 66$

$\displaystyle 48$

Correct answer:

$\displaystyle 48$

Explanation:

$4\times(66-54)$ $\displaystyle 4\times(66-54)$

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

$\displaystyle 66-54=12$

$4\times12=48$ $\displaystyle 4\times12=48$

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Example Question #44 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$37+(44-28)\div4$ $\displaystyle 37+(44-28)\div4$

Possible Answers:

$\displaystyle 51$

$\displaystyle 37$

$\displaystyle 27$

$\displaystyle 13$

$\displaystyle 41$

Correct answer:

$\displaystyle 41$

Explanation:

$37+(44-28)\div4$ $\displaystyle 37+(44-28)\div4$

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

$\displaystyle 44-28=16$

$16\div4=4$ $\displaystyle 16\div4=4$

37+4=41 $\displaystyle 37+4=41$

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Example Question #45 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$9\times(68-57)$ $\displaystyle 9\times(68-57)$

Possible Answers:

$\displaystyle 67$

$\displaystyle 99$

$\displaystyle 65$

$\displaystyle 57$

$\displaystyle 90$

Correct answer:

$\displaystyle 99$

Explanation:

$9\times(68-57)$ $\displaystyle 9\times(68-57)$

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

$\displaystyle 68-57=11$

$9\times11=99$ $\displaystyle 9\times11=99$

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Example Question #46 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$52\div(75-62)$ $\displaystyle 52\div(75-62)$

Possible Answers:

$\displaystyle 28$

$\displaystyle 4$

$\displaystyle 13$

$\displaystyle 22$

$\displaystyle 7$

Correct answer:

$\displaystyle 4$

Explanation:

$52\div(75-62)$ $\displaystyle 52\div(75-62)$

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

$\displaystyle 75-62=13$

$52\div13=4$ $\displaystyle 52\div13=4$

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Example Question #47 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$17+(34-32)\times 7$ $\displaystyle 17+(34-32)\times 7$

Possible Answers:

$\displaystyle 31$

$\displaystyle 23$

104 $\displaystyle 104$

$\displaystyle 92$

133 $\displaystyle 133$

Correct answer:

$\displaystyle 31$

Explanation:

$17+(34-32)\times 7$ $\displaystyle 17+(34-32)\times 7$

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

34-32=2 $\displaystyle 34-32=2$

$2\times7=14$ $\displaystyle 2\times7=14$

$\displaystyle 17+14=31$

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Example Question #48 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$81\div(14-5)$ $\displaystyle 81\div(14-5)$

Possible Answers:

$\displaystyle 3$

$\displaystyle 7$

$\displaystyle 18$

$\displaystyle 12$

$\displaystyle 9$

Correct answer:

$\displaystyle 9$

Explanation:

$81\div(14-5)$ $\displaystyle 81\div(14-5)$

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

14-5=9 $\displaystyle 14-5=9$

$81\div9=9$ $\displaystyle 81\div9=9$

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Example Question #49 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$9+2\times2+(42-29)$ $\displaystyle 9+2\times2+(42-29)$

Possible Answers:

$\displaystyle 32$

$\displaystyle 26$

$\displaystyle 36$

$\displaystyle 47$

$\displaystyle 43$

Correct answer:

$\displaystyle 26$

Explanation:

$9+2\times2+(42-29)$ $\displaystyle 9+2\times2+(42-29)$

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

$\displaystyle 42-29=13$

$2\times2=4$ $\displaystyle 2\times2=4$

$\displaystyle 9+4+13=26$

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Example Question #41 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$(3+4)\times9$ $\displaystyle (3+4)\times9$

Possible Answers:

$\displaystyle 47$

$\displaystyle 56$

$\displaystyle 60$

$\displaystyle 63$

$\displaystyle 53$

Correct answer:

$\displaystyle 63$

Explanation:

$(3+4)\times9$ $\displaystyle (3+4)\times9$

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

3+4=7 $\displaystyle 3+4=7$

$7\times9=63$ $\displaystyle 7\times9=63$

Report an Error

Example Question #51 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$4\times8+(56-17)$ $\displaystyle 4\times8+(56-17)$

Possible Answers:

$\displaystyle 71$

$\displaystyle 93$

$\displaystyle 89$

$\displaystyle 78$

$\displaystyle 83$

Correct answer:

$\displaystyle 71$

Explanation:

$4\times8+(56-17)$ $\displaystyle 4\times8+(56-17)$

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

$\displaystyle 56-17=39$

$4\times8=32$ $\displaystyle 4\times8=32$

$\displaystyle 32+39=71$

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

Example Question #43 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Example Question #44 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Example Question #45 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Example Question #46 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Example Question #47 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Example Question #48 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Example Question #49 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Example Question #41 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Example Question #51 : 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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