ISEE Middle Level Quantitative : Orders of Operations

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #81 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 84\div(79-67)\)

 

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 9\)

\(\displaystyle 14\)

\(\displaystyle 6\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 7\)

Explanation:

\(\displaystyle 84\div(79-67)\)

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

\(\displaystyle 79-67=12\)

\(\displaystyle 84\div12=7\)

Example Question #197 : Problem Solving

Solve:

\(\displaystyle 8+(45-37)\times 11\)

 

Possible Answers:

\(\displaystyle 96\)

\(\displaystyle 80\)

\(\displaystyle 94\)

\(\displaystyle 76\)

\(\displaystyle 88\)

Correct answer:

\(\displaystyle 96\)

Explanation:

\(\displaystyle 8+(45-37)\times 11\)

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

\(\displaystyle 45-37=8\)

\(\displaystyle 8\times11=88\)

\(\displaystyle 8+88=96\)

Example Question #82 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 18\div(5-2)\)

 

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 9\)

\(\displaystyle 14\)

\(\displaystyle 6\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 6\)

Explanation:

\(\displaystyle 18\div(5-2)\)

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

\(\displaystyle 5-2=3\)

\(\displaystyle 18\div3=6\)

Example Question #82 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 16+3\times9+(42-10)\)

 

Possible Answers:

\(\displaystyle 90\)

\(\displaystyle 48\)

\(\displaystyle 82\)

\(\displaystyle 33\)

\(\displaystyle 75\)

Correct answer:

\(\displaystyle 75\)

Explanation:

\(\displaystyle 16+3\times9+(42-10)\)

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

\(\displaystyle 42-10=32\)

\(\displaystyle 3\times9=27\)

\(\displaystyle 16+27+32=75\)

Learning Tools by Varsity Tutors