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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 #21 : 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 $9\times3\times4$ $\displaystyle 9\times3\times4$

Possible Answers:

$9\times12=108$ $\displaystyle 9\times12=108$ and $12\times9=108$ $\displaystyle 12\times9=108$

$(9\times3)\times4=108$ $\displaystyle (9\times3)\times4=108$ and $9\times(3\times4)=108$ $\displaystyle 9\times(3\times4)=108$

$(9\times2)\times4=108$ $\displaystyle (9\times2)\times4=108$ and $9\times(3\times4)=108$ $\displaystyle 9\times(3\times4)=108$

$(9\times1)\times4=108$ $\displaystyle (9\times1)\times4=108$ and $9\times(1\times4)=108$ $\displaystyle 9\times(1\times4)=108$

$(9\times3)\times4=108$ $\displaystyle (9\times3)\times4=108$ and $9\times(2\times4)=108$ $\displaystyle 9\times(2\times4)=108$

Correct answer:

$(9\times3)\times4=108$ $\displaystyle (9\times3)\times4=108$ and $9\times(3\times4)=108$ $\displaystyle 9\times(3\times4)=108$

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.

$(9\times3)\times4=108$ $\displaystyle (9\times3)\times4=108$ and $9\times(3\times4)=108$ $\displaystyle 9\times(3\times4)=108$

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Example Question #21 : 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 $1\times4\times3$ $\displaystyle 1\times4\times3$

Possible Answers:

$(1\times4)\times3=12$ $\displaystyle (1\times4)\times3=12$ and $1\times(3\times3)=12$ $\displaystyle 1\times(3\times3)=12$

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

$(1\times5)\times3=12$ $\displaystyle (1\times5)\times3=12$ and $1\times(4\times3)=12$ $\displaystyle 1\times(4\times3)=12$

$(1\times4)\times3=12$ $\displaystyle (1\times4)\times3=12$ and $1\times(4\times3)=12$ $\displaystyle 1\times(4\times3)=12$

$6\times2=12$ $\displaystyle 6\times2=12$ and $2\times6=12$ $\displaystyle 2\times6=12$

Correct answer:

$(1\times4)\times3=12$ $\displaystyle (1\times4)\times3=12$ and $1\times(4\times3)=12$ $\displaystyle 1\times(4\times3)=12$

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.

$(1\times4)\times3=12$ $\displaystyle (1\times4)\times3=12$ and $1\times(4\times3)=12$ $\displaystyle 1\times(4\times3)=12$

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Example Question #22 : 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 $11\times2\times3$ $\displaystyle 11\times2\times3$

Possible Answers:

$(11\times2)\times3=66$ $\displaystyle (11\times2)\times3=66$ and $11\times(4\times3)=66$ $\displaystyle 11\times(4\times3)=66$

$(11\times2)\times3=66$ $\displaystyle (11\times2)\times3=66$ and $11\times(2\times3)=66$ $\displaystyle 11\times(2\times3)=66$

$(11\times1)\times3=66$ $\displaystyle (11\times1)\times3=66$ and $11\times(1\times3)=66$ $\displaystyle 11\times(1\times3)=66$

$(11\times5)\times3=66$ $\displaystyle (11\times5)\times3=66$ and $11\times(2\times3)=66$ $\displaystyle 11\times(2\times3)=66$

$(11\times3)\times3=66$ $\displaystyle (11\times3)\times3=66$ and $11\times(3\times3)=66$ $\displaystyle 11\times(3\times3)=66$

Correct answer:

$(11\times2)\times3=66$ $\displaystyle (11\times2)\times3=66$ and $11\times(2\times3)=66$ $\displaystyle 11\times(2\times3)=66$

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.

$(11\times2)\times3=66$ $\displaystyle (11\times2)\times3=66$ and $11\times(2\times3)=66$ $\displaystyle 11\times(2\times3)=66$

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Example Question #574 : Operations & Algebraic Thinking

Select the answer that demonstrates the associative property of multiplication for $4\times2\times7$ $\displaystyle 4\times2\times7$

Possible Answers:

$(4\times3)\times7=56$ $\displaystyle (4\times3)\times7=56$ and $4\times(2\times7)=56$ $\displaystyle 4\times(2\times7)=56$

$(4\times5)\times7=56$ $\displaystyle (4\times5)\times7=56$ and $4\times(5\times7)=56$ $\displaystyle 4\times(5\times7)=56$

$(4\times2)\times7=56$ $\displaystyle (4\times2)\times7=56$ and $4\times(3\times7)=56$ $\displaystyle 4\times(3\times7)=56$

$(4\times1)\times7=56$ $\displaystyle (4\times1)\times7=56$ and $4\times(1\times7)=56$ $\displaystyle 4\times(1\times7)=56$

$(4\times2)\times7=56$ $\displaystyle (4\times2)\times7=56$ and $4\times(2\times7)=56$ $\displaystyle 4\times(2\times7)=56$

Correct answer:

$(4\times2)\times7=56$ $\displaystyle (4\times2)\times7=56$ and $4\times(2\times7)=56$ $\displaystyle 4\times(2\times7)=56$

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.

$(4\times2)\times7=56$ $\displaystyle (4\times2)\times7=56$ and $4\times(2\times7)=56$ $\displaystyle 4\times(2\times7)=56$

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Example Question #21 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Solve $22\div2$ $\displaystyle 22\div2$ by finding the unknown factor.

Possible Answers:

$\displaystyle 10$

$\displaystyle 14$

$\displaystyle 13$

$\displaystyle 12$

$\displaystyle 11$

Correct answer:

$\displaystyle 11$

Explanation:

A factor is a number that is multiplied by another number to produce a given number.

In this case, the unknown factor is the number multiplied by $\displaystyle 2$ to get $\displaystyle 22$ .

$2\times11=22$ $\displaystyle 2\times11=22$

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Example Question #22 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Solve $60\div3$ $\displaystyle 60\div3$ by finding the unknown factor.

Possible Answers:

$\displaystyle 20$

$\displaystyle 15$

$\displaystyle 30$

$\displaystyle 22$

$\displaystyle 18$

Correct answer:

$\displaystyle 20$

Explanation:

A factor is a number that is multiplied by another number to produce a given number.

In this case, the unknown factor is the number multiplied by $\displaystyle 3$ to get $\displaystyle 60$ .

$3\times20=60$ $\displaystyle 3\times20=60$

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Example Question #577 : Operations & Algebraic Thinking

Solve $24\div4$ $\displaystyle 24\div4$ by finding the unknown factor.

Possible Answers:

$\displaystyle 4$

$\displaystyle 6$

$\displaystyle 5$

$\displaystyle 7$

$\displaystyle 3$

Correct answer:

$\displaystyle 6$

Explanation:

A factor is a number that is multiplied by another number to produce a given number.

In this case, the unknown factor is the number multiplied by $\displaystyle 4$ to get $\displaystyle 24$ .

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

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Example Question #578 : Operations & Algebraic Thinking

Solve $25\div5$ $\displaystyle 25\div5$ by finding the unknown factor.

Possible Answers:

$\displaystyle 2$

$\displaystyle 1$

$\displaystyle 5$

$\displaystyle 4$

$\displaystyle 3$

Correct answer:

$\displaystyle 5$

Explanation:

A factor is a number that is multiplied by another number to produce a given number.

In this case, the unknown factor is the number multiplied by $\displaystyle 5$ to get $\displaystyle 25$ .

$5\times5=25$ $\displaystyle 5\times5=25$

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Example Question #22 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Solve $42\div6$ $\displaystyle 42\div6$ by finding the unknown factor.

Possible Answers:

$\displaystyle 5$

$\displaystyle 7$

$\displaystyle 9$

$\displaystyle 6$

$\displaystyle 8$

Correct answer:

$\displaystyle 7$

Explanation:

A factor is a number that is multiplied by another number to produce a given number.

In this case, the unknown factor is the number multiplied by $\displaystyle 6$ to get $\displaystyle 42$ .

$6\times7=42$ $\displaystyle 6\times7=42$

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Example Question #2 : Understand Division As An Unknown Factor Problem: Ccss.Math.Content.3.Oa.B.6

Solve $24\div8$ $\displaystyle 24\div8$ by finding the unknown factor.

Possible Answers:

$\displaystyle 5$

$\displaystyle 6$

$\displaystyle 3$

$\displaystyle 7$

$\displaystyle 4$

Correct answer:

$\displaystyle 3$

Explanation:

A factor is a number that is multiplied by another number to produce a given number.

In this case, the unknown factor is the number multiplied by $\displaystyle 8$ to get $\displaystyle 24$ .

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

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

Example Question #21 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Example Question #22 : Apply Properties Of Operations As Strategies To Multiply And Divide: Ccss.Math.Content.3.Oa.B.5

Example Question #574 : Operations & Algebraic Thinking

Example Question #21 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Example Question #22 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Example Question #577 : Operations & Algebraic Thinking

Example Question #578 : Operations & Algebraic Thinking

Example Question #22 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Example Question #2 : Understand Division As An Unknown Factor Problem: Ccss.Math.Content.3.Oa.B.6

All Common Core: 3rd Grade Math Resources

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