Common Core: 5th Grade Math : Use Parentheses, Brackets, or Braces in Numerical Expressions and Evaluate these Expressions: CCSS.Math.Content.5.OA.A.1

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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Example Questions

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

\(\displaystyle (1\times 3)+\left [ (1+3)\times 2-1 \right ]\div 1=\)

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 9\)

\(\displaystyle 7\)

\(\displaystyle 10\)

\(\displaystyle 11\)

Correct answer:

\(\displaystyle 10\)

Explanation:

 

 

 

Example Question #1 : Common Core Math: Grade 5

Solve:

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

Possible Answers:

\(\displaystyle 56\)

\(\displaystyle 39\)

\(\displaystyle 22\)

\(\displaystyle 48\)

\(\displaystyle 100\)

Correct answer:

\(\displaystyle 48\)

Explanation:

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

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

\(\displaystyle 35-10=25\)

\(\displaystyle 2\times5=10\)

\(\displaystyle 13+10+25=48\)

Example Question #2 : Common Core Math: Grade 5

Solve:

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

Possible Answers:

\(\displaystyle 13\)

\(\displaystyle 2\)

\(\displaystyle 6\)

\(\displaystyle 1\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 2\)

Explanation:

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

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

\(\displaystyle 5-2=3\)

\(\displaystyle 6\div3=2\)

Example Question #3 : Orders Of Operations

Solve:

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

Possible Answers:

\(\displaystyle 34\)

\(\displaystyle 63\)

\(\displaystyle 29\)

\(\displaystyle 77\)

\(\displaystyle 13\)

Correct answer:

\(\displaystyle 29\)

Explanation:

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

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

\(\displaystyle 6-3=3\)

\(\displaystyle 3\times7=21\)

\(\displaystyle 8+21=29\)

Example Question #4 : Orders Of Operations

Solve: 

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

Possible Answers:

\(\displaystyle 25\)

\(\displaystyle 100\)

\(\displaystyle 2\)

\(\displaystyle 5\)

\(\displaystyle 50\)

Correct answer:

\(\displaystyle 2\)

Explanation:

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

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

\(\displaystyle 75-25=50\)

\(\displaystyle 100\div50=2\)

Example Question #3 : Common Core Math: Grade 5

Solve:

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

Possible Answers:

\(\displaystyle 48\)

\(\displaystyle 50\)

\(\displaystyle 70\)

\(\displaystyle 68\)

\(\displaystyle 52\)

Correct answer:

\(\displaystyle 48\)

Explanation:

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

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

\(\displaystyle 6-2=4\)

\(\displaystyle 12\times4=48\)

Example Question #4 : Common Core Math: Grade 5

Solve:

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

Possible Answers:

\(\displaystyle 16\)

\(\displaystyle 7\)

\(\displaystyle 9\)

\(\displaystyle 20\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle 20\)

Explanation:

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

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

\(\displaystyle 24-4=20\)

\(\displaystyle 20\div5=4\)

\(\displaystyle 16+4=20\)

Example Question #3 : Operations & Algebraic Thinking

Solve:

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

Possible Answers:

\(\displaystyle 54\)

\(\displaystyle 90\)

\(\displaystyle 62\)

\(\displaystyle 94\)

\(\displaystyle 56\)

Correct answer:

\(\displaystyle 54\)

Explanation:

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

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

\(\displaystyle 36-18=18\)

\(\displaystyle 3\times18=54\)

Example Question #5 : Orders Of Operations

Solve: 

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

Possible Answers:

\(\displaystyle 20\)

\(\displaystyle 35\)

\(\displaystyle 25\)

\(\displaystyle 10\)

\(\displaystyle 30\)

Correct answer:

\(\displaystyle 10\)

Explanation:

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

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

\(\displaystyle 50-25=25\)

\(\displaystyle 25\times2=50\)

\(\displaystyle 50\div5=10\) 

Example Question #6 : Orders Of Operations

Solve: 

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

Possible Answers:

\(\displaystyle 42\)

\(\displaystyle 38\)

\(\displaystyle 30\)

\(\displaystyle 28\)

\(\displaystyle 40\)

Correct answer:

\(\displaystyle 42\)

Explanation:

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

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

\(\displaystyle 5+9=14\)

\(\displaystyle 3\times14=42\)

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