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Common Core: 6th Grade Math : The Number System

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #22 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Use the distributive property to express the sum 20+70 as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

10(2+7)

None of these

10(2+8)

10(4+7)

10(2+9)

Correct answer:

10(2+7)

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

20+70

In this case, the greatest common factor shared by each number is:

$\text{GCF}=10$

After we reduce each addend by the greatest common factor we can rewrite the expression:

10(2+7)

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Example Question #2091 : Ssat Middle Level Quantitative (Math)

Use the distributive property to express the sum 80+110 as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

10(13+11)

10(8+12)

10(8+11)

10(6+11)

5(16+11)

Correct answer:

10(8+11)

Explanation:

80+110

In this case, the greatest common factor shared by each number is:

$\text{GCF}=10$

After we reduce each addend by the greatest common factor we can rewrite the expression:

10(8+11)

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Example Question #2092 : Ssat Middle Level Quantitative (Math)

Use the distributive property to express the sum 50+130 as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

10(6+14)

10(6+13)

10(5+13)

10(5+12)

None of these

Correct answer:

10(5+13)

Explanation:

50+130

In this case, the greatest common factor shared by each number is:

$\text{GCF}=10$

After we reduce each addend by the greatest common factor we can rewrite the expression:

10(5+13)

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Example Question #1431 : Numbers And Operations

Use the distributive property to express the sum 121+11 as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

13(11+1)

11(11+3)

11(12+1)

11(11+1)

11(13+1)

Correct answer:

11(11+1)

Explanation:

121+11

In this case, the greatest common factor shared by each number is:

$\text{GCF}=11$

After we reduce each addend by the greatest common factor we can rewrite the expression:

11(11+1)

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Example Question #41 : How To Find The Distributive Property

Use the distributive property to express the sum 132+77 as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

12(9+13)

9(13+7)

None of these

11(13+7)

11(12+7)

Correct answer:

11(12+7)

Explanation:

132+77

In this case, the greatest common factor shared by each number is:

$\text{GCF}=11$

After we reduce each addend by the greatest common factor we can rewrite the expression:

11(12+7)

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Example Question #1431 : Numbers And Operations

Use the distributive property to express the sum 88+33 as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

10(8+3)

11(8+3)

11(4+3)

11(8+6)

9(8+3)

Correct answer:

11(8+3)

Explanation:

88+33

In this case, the greatest common factor shared by each number is:

$\text{GCF}=11$

After we reduce each addend by the greatest common factor we can rewrite the expression:

11(8+3)

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Example Question #1432 : Numbers And Operations

Use the distributive property to express the sum 110+22 as the multiple of a sum of two whole numbers with no common factor.

Possible Answers:

None of these

11(10+4)

11(20+2)

11(10+2)

11(12+2)

Correct answer:

11(10+2)

Explanation:

110+22

In this case, the greatest common factor shared by each number is:

$\text{GCF}=11$

After we reduce each addend by the greatest common factor we can rewrite the expression:

11(10+2)

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Example Question #41 : Numbers And Operations

Sam purchased gummy bears and wants to make gift bags to give to his friends at school. How many different ways can Sam make gift bags with an even number of gummy bears in each bag?

Possible Answers:

Correct answer:

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sam’s gummy bears.

$1\times6=6$

$2\times3=6$

Do not forget to list their reciprocals.

$3\times2=6$

$6\times1=6$

Sam can make different gift bag combinations with an even amount of gummy bears in each bag.

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Example Question #2 : Find Factor Pairs

Sam purchased gummy bears and wants to make gift bags to give to his friends at school. How many different ways can Sam make gift bags with an even number of gummy bears in each bag?

Possible Answers:

Correct answer:

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sam’s gummy bears.

$1\times7=7$

Do not forget to list their reciprocals.

$7\times1=7$

Sam can make different gift bag combinations with an even amount of gummy bears in each bag.

Report an Error

Example Question #3 : Find Factor Pairs

Sam purchased gummy bears and wants to make gift bags to give to his friends at school. How many different ways can Sam make gift bags with an even number of gummy bears in each bag?

Possible Answers:

Correct answer:

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sam’s gummy bears.

$1\times9=9$

$3\times3=9$

Do not forget to list their reciprocals.

$9\times1=9$

Sam can make different gift bag combinations with an even amount of gummy bears in each bag.

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: 6th Grade Math : The Number System

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #22 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Example Question #2091 : Ssat Middle Level Quantitative (Math)

Example Question #2092 : Ssat Middle Level Quantitative (Math)

Example Question #1431 : Numbers And Operations

Example Question #41 : How To Find The Distributive Property

Example Question #1431 : Numbers And Operations

Example Question #1432 : Numbers And Operations

Example Question #41 : Numbers And Operations

Example Question #2 : Find Factor Pairs

Example Question #3 : Find Factor Pairs

All Common Core: 6th Grade Math Resources

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