Common Core: 3rd Grade Math : Operations & Algebraic Thinking

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

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Example Questions

Example Question #5 : Understand Division As An Unknown Factor Problem: Ccss.Math.Content.3.Oa.B.6

Solve \(\displaystyle 42\div6\) by finding the unknown factor. 

Possible Answers:

\(\displaystyle 9\)

\(\displaystyle 6\)

\(\displaystyle 8\)

\(\displaystyle 5\)

\(\displaystyle 7\)

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 \(\displaystyle 42\)

\(\displaystyle 6\times7=42\)

Example Question #581 : Operations & Algebraic Thinking

Solve \(\displaystyle 24\div8\) by finding the unknown factor. 

Possible Answers:

\(\displaystyle 3\)

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 4\)

\(\displaystyle 7\)

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 \(\displaystyle 24\)

\(\displaystyle 8\times3=24\)

Example Question #7 : Understand Division As An Unknown Factor Problem: Ccss.Math.Content.3.Oa.B.6

Solve \(\displaystyle 108\div9\) by finding the unknown factor. 

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 11\)

\(\displaystyle 13\)

\(\displaystyle 14\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 12\)

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 \(\displaystyle 9\) to get \(\displaystyle 108\)

\(\displaystyle 9\times12=108\)

Example Question #7 : Understand Division As An Unknown Factor Problem: Ccss.Math.Content.3.Oa.B.6

Solve \(\displaystyle 80\div10\) by finding the unknown factor. 

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 5\)

\(\displaystyle 8\)

\(\displaystyle 9\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 8\)

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 \(\displaystyle 10\) to get \(\displaystyle 80\)

\(\displaystyle 10\times8=80\)

Example Question #8 : Understand Division As An Unknown Factor Problem: Ccss.Math.Content.3.Oa.B.6

Solve \(\displaystyle 33\div11\) by finding the unknown factor. 

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 5\)

\(\displaystyle 2\)

\(\displaystyle 3\)

\(\displaystyle 6\)

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 \(\displaystyle 11\) to get \(\displaystyle 33\)

\(\displaystyle 11\times3=33\)

Example Question #9 : Understand Division As An Unknown Factor Problem: Ccss.Math.Content.3.Oa.B.6

Solve \(\displaystyle 48\div12\) by finding the unknown factor. 

Possible Answers:

\(\displaystyle 3\)

\(\displaystyle 6\)

\(\displaystyle 2\)

\(\displaystyle 5\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 4\)

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 \(\displaystyle 12\) to get \(\displaystyle 48\)

\(\displaystyle 12\times4=48\)

Example Question #31 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Solve \(\displaystyle 32\div8\) by finding the unknown factor. 

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 8\)

\(\displaystyle 4\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 4\)

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 \(\displaystyle 32\)

Think: What times \(\displaystyle 8\) equals \(\displaystyle 32?\)

\(\displaystyle 8\times4=32\)

Example Question #32 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Solve \(\displaystyle 63\div7\) by finding the unknown factor. 

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle 9\)

\(\displaystyle 11\)

\(\displaystyle 8\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 9\)

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 \(\displaystyle 7\) to get \(\displaystyle 63\)

Think: What times \(\displaystyle 7\) equals \(\displaystyle 63?\)

\(\displaystyle 7\times9=63\)

Example Question #33 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Solve \(\displaystyle 8036\div4\) by finding the unknown factor.

Possible Answers:

\(\displaystyle 2008\)

\(\displaystyle 2010\)

\(\displaystyle 2009\)

\(\displaystyle 2011\)

\(\displaystyle 2007\)

Correct answer:

\(\displaystyle 2009\)

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 \(\displaystyle 8036\).\(\displaystyle 4\times 2009=8036\)

Example Question #34 : Understanding Properties Of Multiplication And The Relationship Between Multiplication And Division

Solve \(\displaystyle 7815\div15\) by finding the unknown factor.

Possible Answers:

\(\displaystyle 523\)

\(\displaystyle 521\)

\(\displaystyle 520\)

\(\displaystyle 519\)

\(\displaystyle 522\)

Correct answer:

\(\displaystyle 521\)

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 \(\displaystyle 15\) to get \(\displaystyle 7815\).\(\displaystyle 15\times 521=7815\)

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