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Common Core: 3rd Grade Math : Understanding Properties of Multiplication and the Relationship between Multiplication and Division

Study concepts, example questions & explanations for Common Core: 3rd Grade Math

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All Common Core: 3rd Grade Math Resources

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Example Questions

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Example Question #11 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Using the commutative property, if $11\times4=44$ what else is known?

Possible Answers:

$2\times22=44$

$4\times11=44$

$22\times2=44$

$1\times44=44$

$44\times1=44$

Correct answer:

$4\times11=44$

Explanation:

The commutative property of multiplication says that we can multiply numbers in any order and our product, or answer, will be the same.

Though all of our answer choices do equal , we started with $11\times4$ so our answer must use those numbers, but in a different order.

$11\times4=44$ and $4\times11=44$ demonstrates the commutative property of multiplication.

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Example Question #11 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Using the commutative property, if $12\times5=60$ what else is known?

Possible Answers:

$5\times12=60$

$6\times10=60$

$2\times30=60$

$20\times3=60$

$15\times4=60$

Correct answer:

$5\times12=60$

Explanation:

The commutative property of multiplication says that we can multiply numbers in any order and our product, or answer, will be the same.

Though all of our answer choices do equal , we started with $12\times5$ so our answer must use those numbers, but in a different order.

$12\times5=60$ and $5\times12=60$ demonstrates the commutative property of multiplication.

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Example Question #13 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Select the answer that demonstrates the associative property of multiplication for $2\times3\times4$

Possible Answers:

$(8\times3)\times1=24$ and $2\times(3\times4)=24$

$2\times(3\times4)=24$ and $(8\times3)\times1=24$

$12\times2=24$ and $2\times12=24$

$(2\times3)\times4=24$ and $2\times(3\times4)=24$

$8\times3=24$ and $3\times8=24$

Correct answer:

$(2\times3)\times4=24$ and $2\times(3\times4)=24$

Explanation:

The associative property of multiplication says that we can group numbers in any order to multiply them and our product, or answer, will be the same.

$(2\times3)\times4=24$ and $2\times(3\times4)=24$

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Example Question #11 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Select the answer that demonstrates the associative property of multiplication for $1\times2\times3$

Possible Answers:

$2\times3=6$ and $3\times2=6$

$3\times2=6$ and $(1\times2)\times3=6$

$(1\times2)\times3=6$ and $1\times(2\times3)=6$

$(1\times2)\times3=12$ and $1\times(2\times3)=12$

$1\times6=6$ and $6\times6=6$

Correct answer:

$(1\times2)\times3=6$ and $1\times(2\times3)=6$

Explanation:

The associative property of multiplication says that we can group numbers in any order to multiply them and our product, or answer, will be the same.

$(1\times2)\times3=6$ and $1\times(2\times3)=6$

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Example Question #15 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Select the answer that demonstrates the associative property of multiplication for $3\times2\times6$

Possible Answers:

$(3\times3)\times6=36$ and $3\times(2\times6)=36$

$(3\times3)\times6=36$ and $3\times(4\times6)=36$

$12\times3=36$ and $3\times12=36$

$4\times9=36$ and $9\times4=36$

$(3\times2)\times6=36$ and $3\times(2\times6)=36$

Correct answer:

$(3\times2)\times6=36$ and $3\times(2\times6)=36$

Explanation:

The associative property of multiplication says that we can group numbers in any order to multiply them and our product, or answer, will be the same.

$(3\times2)\times6=36$ and $3\times(2\times6)=36$

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Example Question #11 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Select the answer that demonstrates the associative property of multiplication for $4\times2\times5$

Possible Answers:

$(4\times6)\times5=40$ and $4\times(7\times5)=40$

$5\times8=40$ and $8\times5=40$

$(4\times3)\times5=40$ and $4\times(3\times5)=40$

$(4\times2)\times5=40$ and $4\times(2\times5)=40$

$(4\times6)\times5=40$ and $4\times(2\times5)=40$

Correct answer:

$(4\times2)\times5=40$ and $4\times(2\times5)=40$

Explanation:

The associative property of multiplication says that we can group numbers in any order to multiply them and our product, or answer, will be the same.

$(4\times2)\times5=40$ and $4\times(2\times5)=40$

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Example Question #13 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Select the answer that demonstrates the associative property of multiplication for $5\times2\times3$

Possible Answers:

$(5\times2)\times3=30$ and $5\times(2\times3)=30$

$(5\times2)\times3=30$ and $5\times(1\times3)=30$

$(5\times4)\times3=30$ and $5\times(2\times3)=30$

$(5\times4)\times3=30$ and $5\times(4\times3)=30$

$5\times6=30$ or $6\times5=30$

Correct answer:

$(5\times2)\times3=30$ and $5\times(2\times3)=30$

Explanation:

The associative property of multiplication says that we can group numbers in any order to multiply them and our product, or answer, will be the same.

$(5\times2)\times3=30$ and $5\times(2\times3)=30$

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Example Question #18 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Select the answer that demonstrates the associative property of multiplication for $6\times1\times3$

Possible Answers:

$(6\times4)\times3=18$ and $6\times(4\times3)=18$

$2\times9=18$ and $9\times2=18$

$(6\times1)\times3=18$ and $6\times(3\times3)=18$

$(6\times1)\times3=18$ and $6\times(1\times3)=18$

$(6\times2)\times3=18$ and $6\times(1\times3)=18$

Correct answer:

$(6\times1)\times3=18$ and $6\times(1\times3)=18$

Explanation:

The associative property of multiplication says that we can group numbers in any order to multiply them and our product, or answer, will be the same.

$(6\times1)\times3=18$ and $6\times(1\times3)=18$

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Example Question #14 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Select the answer that demonstrates the associative property of multiplication for $7\times3\times2$

Possible Answers:

$21\times2=42$ and $2\times21=42$

$(7\times3)\times2=42$ and $7\times(3\times2)=21$

$(7\times3)\times2=42$ and $7\times(4\times2)=21$

$(7\times2)\times2=42$ and $7\times(3\times2)=21$

$(7\times5)\times2=42$ and $7\times(5\times2)=21$

Correct answer:

$(7\times3)\times2=42$ and $7\times(3\times2)=21$

Explanation:

The associative property of multiplication says that we can group numbers in any order to multiply them and our product, or answer, will be the same.

$(7\times3)\times2=42$ and $7\times(3\times2)=21$

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Example Question #20 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Select the answer that demonstrates the associative property of multiplication for $8\times1\times2$

Possible Answers:

$4\times4=16$ and $8\times2=16$

$(8\times1)\times2=16$ and $8\times(1\times2)=16$

$(8\times2)\times2=16$ and $8\times(2\times2)=16$

$(8\times1)\times2=16$ and $8\times(3\times2)=16$

$(8\times2)\times2=16$ and $8\times(1\times2)=16$

Correct answer:

$(8\times1)\times2=16$ and $8\times(1\times2)=16$

Explanation:

The associative property of multiplication says that we can group numbers in any order to multiply them and our product, or answer, will be the same.

$(8\times1)\times2=16$ and $8\times(1\times2)=16$

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Common Core: 3rd Grade Math : Understanding Properties of Multiplication and the Relationship between Multiplication and Division

Study concepts, example questions & explanations for Common Core: 3rd Grade Math

All Common Core: 3rd Grade Math Resources

Example Questions

Example Question #11 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Example Question #11 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Example Question #13 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Example Question #11 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Example Question #15 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Example Question #11 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Example Question #13 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Example Question #18 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Example Question #14 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Example Question #20 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

All Common Core: 3rd Grade Math Resources

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