Common Core: 5th Grade Math : Common Core Math: Grade 5

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

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Example Questions

Example Question #31 : Operations & Algebraic Thinking

Solve:

\(\displaystyle 12\times(66-58)\)

 

Possible Answers:

\(\displaystyle 621\)

\(\displaystyle 734\)

\(\displaystyle 307\)

\(\displaystyle 96\)

\(\displaystyle 523\)

Correct answer:

\(\displaystyle 96\)

Explanation:

\(\displaystyle 12\times(66-58)\)

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

\(\displaystyle 66-58=8\)

\(\displaystyle 12\times8=96\)

Example Question #32 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 16+(49-14)\div5\)

 

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle 23\)

\(\displaystyle 19\)

\(\displaystyle 38\)

\(\displaystyle 35\)

Correct answer:

\(\displaystyle 23\)

Explanation:

\(\displaystyle 16+(49-14)\div5\)

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

\(\displaystyle 49-14=35\)

\(\displaystyle 35\div5=7\)

\(\displaystyle 16+7=23\)

Example Question #33 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 8\times(58-48)\)

 

Possible Answers:

\(\displaystyle 416\)

\(\displaystyle 227\)

\(\displaystyle 160\)

\(\displaystyle 80\)

\(\displaystyle 384\)

Correct answer:

\(\displaystyle 80\)

Explanation:

\(\displaystyle 8\times(58-48)\)

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

\(\displaystyle 58-48=10\)

\(\displaystyle 8\times10=80\)

Example Question #34 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 96\div(82-76)\)

 

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 64\)

\(\displaystyle 16\)

\(\displaystyle 32\)

\(\displaystyle 48\)

Correct answer:

\(\displaystyle 16\)

Explanation:

\(\displaystyle 96\div(82-76)\)

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

\(\displaystyle 82-76=6\)

\(\displaystyle 96\div6=16\)

Example Question #35 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 48\div(13-5)\)

 

Possible Answers:

\(\displaystyle 3\)

\(\displaystyle 2\)

\(\displaystyle 12\)

\(\displaystyle 8\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 6\)

Explanation:

\(\displaystyle 48\div(13-5)\)

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

\(\displaystyle 13-5=8\)

\(\displaystyle 48\div8=6\)

Example Question #36 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 42+(54-49)\times 8\)

 

Possible Answers:

\(\displaystyle 76\)

\(\displaystyle 96\)

\(\displaystyle 58\)

\(\displaystyle 64\)

\(\displaystyle 82\)

Correct answer:

\(\displaystyle 82\)

Explanation:

\(\displaystyle 42+(54-49)\times 8\)

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

\(\displaystyle 54-49=5\)

\(\displaystyle 5\times8=40\)

\(\displaystyle 42+40=82\)

Example Question #37 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 5+7\times3+(33-14)\)

 

Possible Answers:

\(\displaystyle 49\)

\(\displaystyle 50\)

\(\displaystyle 55\)

\(\displaystyle 61\)

\(\displaystyle 45\)

Correct answer:

\(\displaystyle 45\)

Explanation:

\(\displaystyle 5+7\times3+(33-14)\)

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

\(\displaystyle 33-14=19\)

\(\displaystyle 7\times3=21\)

\(\displaystyle 5+21+19=45\)

Example Question #31 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle (34+4)\times7\)

 

Possible Answers:

\(\displaystyle 154\)

\(\displaystyle 234\)

\(\displaystyle 134\)

\(\displaystyle 208\)

\(\displaystyle 266\)

Correct answer:

\(\displaystyle 266\)

Explanation:

\(\displaystyle (34+4)\times7\)

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

\(\displaystyle 34+4=38\)

\(\displaystyle 38\times7=266\)

Example Question #32 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 3\times4+(53-18)\)

 

Possible Answers:

\(\displaystyle 36\)

\(\displaystyle 57\)

\(\displaystyle 65\)

\(\displaystyle 54\)

\(\displaystyle 47\)

Correct answer:

\(\displaystyle 47\)

Explanation:

\(\displaystyle 3\times4+(53-18)\)

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

\(\displaystyle 53-18=35\)

\(\displaystyle 3\times4=12\)

\(\displaystyle 12+35=47\)

Example Question #33 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 57-(7\times3)\)

 

Possible Answers:

\(\displaystyle 36\)

\(\displaystyle 85\)

\(\displaystyle 62\)

\(\displaystyle 100\)

\(\displaystyle 150\)

Correct answer:

\(\displaystyle 36\)

Explanation:

\(\displaystyle 57-(7\times3)\)

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

\(\displaystyle 7\times3=21\)

\(\displaystyle 57-21=36\)

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