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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

7 Diagnostic Tests 226 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Using the commutative property, if $6\times4=24$ $\displaystyle 6\times4=24$ what else is known?

Possible Answers:

$8\times3=24$ $\displaystyle 8\times3=24$

$12\times2=24$ $\displaystyle 12\times2=24$

$4\times6=24$ $\displaystyle 4\times6=24$

$2\times12=24$ $\displaystyle 2\times12=24$

$3\times8=24$ $\displaystyle 3\times8=24$

Correct answer:

$4\times6=24$ $\displaystyle 4\times6=24$

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 $\displaystyle 24$, we started with $6\times4$ $\displaystyle 6\times4$ so our answer must use those numbers, but in a different order.

$6\times4=24$ $\displaystyle 6\times4=24$ and $4\times6=24$ $\displaystyle 4\times6=24$ demonstrates the commutative property of multiplication.

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Example Question #2 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Using the commutative property, if $2\times6=12$ $\displaystyle 2\times6=12$ what else is known?

Possible Answers:

$3\times4=12$ $\displaystyle 3\times4=12$

$6\times2=12$ $\displaystyle 6\times2=12$

$1\times12=12$ $\displaystyle 1\times12=12$

$4\times3=12$ $\displaystyle 4\times3=12$

$12\times1=12$ $\displaystyle 12\times1=12$

Correct answer:

$6\times2=12$ $\displaystyle 6\times2=12$

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 $\displaystyle 12$, we started with $2\times6$ $\displaystyle 2\times6$ so our answer must use those numbers, but in a different order.

$2\times6=12$ $\displaystyle 2\times6=12$ and $6\times2=12$ $\displaystyle 6\times2=12$ demonstrates the commutative property of multiplication.

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Example Question #2 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Using the commutative property, if $3\times10=30$ $\displaystyle 3\times10=30$ what else is known?

Possible Answers:

$5\times6=30$ $\displaystyle 5\times6=30$

$1\times30=30$ $\displaystyle 1\times30=30$

$10\times3=30$ $\displaystyle 10\times3=30$

$15\times2=30$ $\displaystyle 15\times2=30$

$2\times15=30$ $\displaystyle 2\times15=30$

Correct answer:

$10\times3=30$ $\displaystyle 10\times3=30$

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 $\displaystyle 30$, we started with $3\times10$ $\displaystyle 3\times10$ so our answer must use those numbers, but in a different order.

$3\times10=30$ $\displaystyle 3\times10=30$ and $10\times3=30$ $\displaystyle 10\times3=30$ demonstrates the commutative property of multiplication.

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Example Question #3 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Using the commutative property, if $5\times4=20$ $\displaystyle 5\times4=20$ what else is known?

Possible Answers:

$2\times10=20$ $\displaystyle 2\times10=20$

$20\times1=20$ $\displaystyle 20\times1=20$

$1\times20=20$ $\displaystyle 1\times20=20$

$4\times5=20$ $\displaystyle 4\times5=20$

$10\times2=20$ $\displaystyle 10\times2=20$

Correct answer:

$4\times5=20$ $\displaystyle 4\times5=20$

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 $\displaystyle 20$, we started with $5\times4$ $\displaystyle 5\times4$ so our answer must use those numbers, but in a different order.

$5\times4=20$ $\displaystyle 5\times4=20$ and $4\times5=20$ $\displaystyle 4\times5=20$ demonstrates the commutative property of multiplication.

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

Using the commutative property, if $5\times8=40$ $\displaystyle 5\times8=40$ what else is known?

Possible Answers:

$8\times5=40$ $\displaystyle 8\times5=40$

$4\times10=40$ $\displaystyle 4\times10=40$

$2\times20=40$ $\displaystyle 2\times20=40$

$1\times40=40$ $\displaystyle 1\times40=40$

$10\times4=40$ $\displaystyle 10\times4=40$

Correct answer:

$8\times5=40$ $\displaystyle 8\times5=40$

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 $\displaystyle 40$, we started with $5\times8$ $\displaystyle 5\times8$ so our answer must use those numbers, but in a different order.

$5\times8=40$ $\displaystyle 5\times8=40$ and $8\times5=40$ $\displaystyle 8\times5=40$ demonstrates the commutative property of multiplication.

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Example Question #4 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Using the commutative property, if $6\times11=66$ $\displaystyle 6\times11=66$ what else is known?

Possible Answers:

$1\times66=66$ $\displaystyle 1\times66=66$

$2\times33=66$ $\displaystyle 2\times33=66$

$33\times2=66$ $\displaystyle 33\times2=66$

$22\times3=66$ $\displaystyle 22\times3=66$

$11\times6=66$ $\displaystyle 11\times6=66$

Correct answer:

$11\times6=66$ $\displaystyle 11\times6=66$

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 $\displaystyle 66$, we started with $6\times11$ $\displaystyle 6\times11$ so our answer must use those numbers, but in a different order.

$6\times11=66$ $\displaystyle 6\times11=66$ and $11\times6=66$ $\displaystyle 11\times6=66$ demonstrates the commutative property of multiplication.

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Example Question #7 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Using the commutative property, if $7\times12=84$ $\displaystyle 7\times12=84$ what else is known?

Possible Answers:

$1\times84=84$ $\displaystyle 1\times84=84$

$4\times21=84$ $\displaystyle 4\times21=84$

$42\times2=84$ $\displaystyle 42\times2=84$

$12\times7=84$ $\displaystyle 12\times7=84$

$14\times6=84$ $\displaystyle 14\times6=84$

Correct answer:

$12\times7=84$ $\displaystyle 12\times7=84$

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 $\displaystyle 84$, we started with $7\times12$ $\displaystyle 7\times12$ so our answer must use those numbers, but in a different order.

$7\times12=84$ $\displaystyle 7\times12=84$ and $12\times7=84$ $\displaystyle 12\times7=84$ demonstrates the commutative property of multiplication.

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Example Question #8 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Using the commutative property, if $8\times6=48$ $\displaystyle 8\times6=48$ what else is known?

Possible Answers:

$3\times16=48$ $\displaystyle 3\times16=48$

$6\times8=48$ $\displaystyle 6\times8=48$

$16\times3=48$ $\displaystyle 16\times3=48$

$4\times12=48$ $\displaystyle 4\times12=48$

$24\times2=48$ $\displaystyle 24\times2=48$

Correct answer:

$6\times8=48$ $\displaystyle 6\times8=48$

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 $\displaystyle 48$, we started with $8\times6$ $\displaystyle 8\times6$ so our answer must use those numbers, but in a different order.

$8\times6=48$ $\displaystyle 8\times6=48$ and $6\times8=48$ $\displaystyle 6\times8=48$ demonstrates the commutative property of multiplication.

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Example Question #1 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Using the commutative property, if $9\times4=36$ $\displaystyle 9\times4=36$ what else is known?

Possible Answers:

$12\times3=36$ $\displaystyle 12\times3=36$

$1\times36=36$ $\displaystyle 1\times36=36$

$4\times9=36$ $\displaystyle 4\times9=36$

$18\times2=36$ $\displaystyle 18\times2=36$

$6\times6=36$ $\displaystyle 6\times6=36$

Correct answer:

$4\times9=36$ $\displaystyle 4\times9=36$

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 $\displaystyle 36$, we started with $9\times4$ $\displaystyle 9\times4$ so our answer must use those numbers, but in a different order.

$9\times4=36$ $\displaystyle 9\times4=36$ and $4\times9=36$ $\displaystyle 4\times9=36$ demonstrates the commutative property of multiplication.

Report an Error

Example Question #9 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Using the commutative property, if $10\times2=20$ $\displaystyle 10\times2=20$ what else is known?

Possible Answers:

$1\times20=20$ $\displaystyle 1\times20=20$

$5\times4=20$ $\displaystyle 5\times4=20$

$4\times5=20$ $\displaystyle 4\times5=20$

$2\times10=20$ $\displaystyle 2\times10=20$

$20\times1=20$ $\displaystyle 20\times1=20$

Correct answer:

$2\times10=20$ $\displaystyle 2\times10=20$

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 $\displaystyle 20$, we started with $10\times2$ $\displaystyle 10\times2$ so our answer must use those numbers, but in a different order.

$10\times2=20$ $\displaystyle 10\times2=20$ and $2\times10=20$ $\displaystyle 2\times10=20$ demonstrates the commutative property of multiplication.

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All Common Core: 3rd Grade Math Resources

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

Example Question #2 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Example Question #2 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Example Question #3 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

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

Example Question #4 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Example Question #7 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Example Question #8 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Example Question #1 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Example Question #9 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

All Common Core: 3rd Grade Math Resources

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