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 #71 : Operations & Algebraic Thinking

Solve:

\displaystyle 8+(12-3)\times 7

 

Possible Answers:

\displaystyle 67

\displaystyle 71

\displaystyle 89

\displaystyle 76

\displaystyle 81

Correct answer:

\displaystyle 71

Explanation:

\displaystyle 8+(12-3)\times 7

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

\displaystyle 12-3=9

\displaystyle 9\times7=63

\displaystyle 8+63=71

Example Question #72 : Operations & Algebraic Thinking

Solve:

\displaystyle 56\div(14-10)

 

Possible Answers:

\displaystyle 12

\displaystyle 20

\displaystyle 18

\displaystyle 14

\displaystyle 8

Correct answer:

\displaystyle 14

Explanation:

\displaystyle 56\div(14-10)

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

\displaystyle 14-10=4

\displaystyle 56\div4=14

Example Question #531 : Numbers And Operations

Solve:

\displaystyle 17+6\times5+(29-16)

 

Possible Answers:

\displaystyle 30

\displaystyle 75

\displaystyle 90

\displaystyle 45

\displaystyle 60

Correct answer:

\displaystyle 60

Explanation:

\displaystyle 17+6\times5+(29-16)

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

\displaystyle 29-16=13

\displaystyle 6\times5=30

\displaystyle 17+30+13=60

Example Question #1191 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Solve:

\displaystyle (14+4)\times2

 

Possible Answers:

\displaystyle 38

\displaystyle 43

\displaystyle 44

\displaystyle 36

\displaystyle 40

Correct answer:

\displaystyle 36

Explanation:

\displaystyle (14+4)\times2

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

\displaystyle 14+4=18

\displaystyle 18\times2=36

Example Question #61 : How To Solve Two Step Equations

Solve:

\displaystyle 4\times8+(56-17)

 

Possible Answers:

\displaystyle 82

\displaystyle 71

\displaystyle 76

\displaystyle 60

\displaystyle 81

Correct answer:

\displaystyle 71

Explanation:

\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

\displaystyle 4\times8=32

\displaystyle 32+39=71

 

Example Question #71 : How To Solve Two Step Equations

Solve:

\displaystyle 76-(14\times2)

 

Possible Answers:

\displaystyle 48

\displaystyle 42

\displaystyle 50

\displaystyle 56

\displaystyle 38

Correct answer:

\displaystyle 48

Explanation:

\displaystyle 76-(14\times2)

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

\displaystyle 14\times2=28

\displaystyle 76-28=48

Example Question #1191 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Solve:

\displaystyle 3\times(14+2)

 

Possible Answers:

\displaystyle 60

\displaystyle 24

\displaystyle 44

\displaystyle 48

\displaystyle 27

Correct answer:

\displaystyle 48

Explanation:

\displaystyle 3\times(14+2)

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

\displaystyle 14+2=16

\displaystyle 3\times16=48

Example Question #73 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\displaystyle 4\times (27-19)\div8

 

Possible Answers:

\displaystyle 4

\displaystyle 6

\displaystyle 7

\displaystyle 5

\displaystyle 8

Correct answer:

\displaystyle 4

Explanation:

\displaystyle 4\times (27-19)\div8

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

\displaystyle 27-19=8

\displaystyle 4\times8=32

\displaystyle 32\div8=4 

Example Question #71 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\displaystyle 3\times(38-18)

 

Possible Answers:

\displaystyle 60

\displaystyle 46

\displaystyle 56

\displaystyle 52

\displaystyle 40

Correct answer:

\displaystyle 60

Explanation:

\displaystyle 3\times(38-18)

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

\displaystyle 38-18=20

\displaystyle 3\times20=60

Example Question #74 : How To Solve Two Step Equations

Solve:

\displaystyle 45+(18-4)\div2

 

Possible Answers:

\displaystyle 52

\displaystyle 56

\displaystyle 40

\displaystyle 44

\displaystyle 48

Correct answer:

\displaystyle 52

Explanation:

\displaystyle 45+(18-4)\div2

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

\displaystyle 18-4=14

\displaystyle 14\div2=7

\displaystyle 45+7=52

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