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Common Core: 5th Grade Math : Common Core Math: Grade 5

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #311 : Common Core Math: Grade 5

What is $7\times10^2$ $\displaystyle 7\times10^2$ in standard form?

Possible Answers:

700 $\displaystyle 700$

$700\textup,000$ $\displaystyle 700\textup,000$

$7\textup,000$ $\displaystyle 7\textup,000$

$70\textup,000$ $\displaystyle 70\textup,000$

$\displaystyle 70$

Correct answer:

700 $\displaystyle 700$

Explanation:

The power of $\displaystyle 10$ tells us how to move our decimal. Because we have a positive $\displaystyle 2$ power, we move our decimal over $\displaystyle 2$ places to the right.

$7.\rightarrow 700.$ $\displaystyle 7.\rightarrow 700.$

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Example Question #91 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

What is $6\times10^5$ $\displaystyle 6\times10^5$ in standard form?

Possible Answers:

600 $\displaystyle 600$

$600\textup,000$ $\displaystyle 600\textup,000$

$60\textup,000$ $\displaystyle 60\textup,000$

$6\textup,000$ $\displaystyle 6\textup,000$

$\displaystyle 60$

Correct answer:

$600\textup,000$ $\displaystyle 600\textup,000$

Explanation:

The power of $\displaystyle 10$ tells us how to move our decimal. Because we have a positive $\displaystyle 5$ power, we move our decimal over $\displaystyle 5$ places to the right.

$6.\rightarrow 600000.$ $\displaystyle 6.\rightarrow 600000.$

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Example Question #312 : Common Core Math: Grade 5

What is $5\times10^4$ $\displaystyle 5\times10^4$ in standard form?

Possible Answers:

$500\textup,000$ $\displaystyle 500\textup,000$

$50\textup,000$ $\displaystyle 50\textup,000$

$\displaystyle 50$

$5\textup,000$ $\displaystyle 5\textup,000$

500 $\displaystyle 500$

Correct answer:

$50\textup,000$ $\displaystyle 50\textup,000$

Explanation:

The power of $\displaystyle 10$ tells us how to move our decimal. Because we have a positive $\displaystyle 4$ power, we move our decimal over $\displaystyle 4$ places to the right.

$5.\rightarrow 50000.$ $\displaystyle 5.\rightarrow 50000.$

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Example Question #311 : Common Core Math: Grade 5

What is $4\times10^8$ $\displaystyle 4\times10^8$ in standard form?

Possible Answers:

$4\textup,000\textup,000$ $\displaystyle 4\textup,000\textup,000$

$400\textup,000$ $\displaystyle 400\textup,000$

$40\textup,000\textup,000$ $\displaystyle 40\textup,000\textup,000$

$40\textup,000$ $\displaystyle 40\textup,000$

$400\textup,000\textup,000$ $\displaystyle 400\textup,000\textup,000$

Correct answer:

$400\textup,000\textup,000$ $\displaystyle 400\textup,000\textup,000$

Explanation:

The power of $\displaystyle 10$ tells us how to move our decimal. Because we have a positive $\displaystyle 8$ power, we move our decimal over $\displaystyle 8$ places to the right.

$4.\rightarrow 400000000.$ $\displaystyle 4.\rightarrow 400000000.$

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Example Question #312 : Common Core Math: Grade 5

What is $1\times10^2$ $\displaystyle 1\times10^2$ in standard form?

Possible Answers:

$100\textup,000$ $\displaystyle 100\textup,000$

$\displaystyle 10$

$1\textup,000$ $\displaystyle 1\textup,000$

$10\textup,000$ $\displaystyle 10\textup,000$

100 $\displaystyle 100$

Correct answer:

100 $\displaystyle 100$

Explanation:

The power of $\displaystyle 10$ tells us how to move our decimal. Because we have a positive $\displaystyle 2$ power, we move our decimal over $\displaystyle 2$ places to the right.

$1.\rightarrow 100.$ $\displaystyle 1.\rightarrow 100.$

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Example Question #313 : Common Core Math: Grade 5

What is $3\times10^7$ $\displaystyle 3\times10^7$ in standard form?

Possible Answers:

$30\textup,000$ $\displaystyle 30\textup,000$

300 $\displaystyle 300$

$3\textup,000$ $\displaystyle 3\textup,000$

$3\textup,000\textup,000$ $\displaystyle 3\textup,000\textup,000$

$30\textup,000\textup,000$ $\displaystyle 30\textup,000\textup,000$

Correct answer:

$30\textup,000\textup,000$ $\displaystyle 30\textup,000\textup,000$

Explanation:

The power of $\displaystyle 10$ tells us how to move our decimal. Because we have a positive $\displaystyle 7$ power, we move our decimal over $\displaystyle 7$ places to the right.

$3.\rightarrow 30000000.$ $\displaystyle 3.\rightarrow 30000000.$

Report an Error

Example Question #92 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

What is $2\times10^3$ $\displaystyle 2\times10^3$ in standard form?

Possible Answers:

$2\texutp,000$ $\displaystyle 2\texutp,000$

200 $\displaystyle 200$

$\displaystyle 20$

$20\texutp,000$ $\displaystyle 20\texutp,000$

$200\texutp,000$ $\displaystyle 200\texutp,000$

Correct answer:

$2\texutp,000$ $\displaystyle 2\texutp,000$

Explanation:

The power of $\displaystyle 10$ tells us how to move our decimal. Because we have a positive $\displaystyle 3$ power, we move our decimal over $\displaystyle 3$ places to the right.

$2.\rightarrow 2000.$ $\displaystyle 2.\rightarrow 2000.$

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Example Question #131 : Number & Operations In Base Ten

What is $5.7\times10^1$ $\displaystyle 5.7\times10^1$ in standard form?

Possible Answers:

$57\textup,000$ $\displaystyle 57\textup,000$

570 $\displaystyle 570$

$570\textup,000$ $\displaystyle 570\textup,000$

$\displaystyle 57$

$5\textup,700$ $\displaystyle 5\textup,700$

Correct answer:

$\displaystyle 57$

Explanation:

The power of $\displaystyle 10$ tells us how to move our decimal. Because we have a positive $\displaystyle 1$ power, we move our decimal over $\displaystyle 1$ place to the right.

$5.7\rightarrow 57.$ $\displaystyle 5.7\rightarrow 57.$

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Example Question #132 : Number & Operations In Base Ten

What is $2.4\times10^7$ $\displaystyle 2.4\times10^7$ in standard form?

Possible Answers:

$240\textup,000\textup,000$ $\displaystyle 240\textup,000\textup,000$

$24\textup,000$ $\displaystyle 24\textup,000$

$2\textup,400$ $\displaystyle 2\textup,400$

$24\textup,000\textup,000$ $\displaystyle 24\textup,000\textup,000$

$240\textup,000$ $\displaystyle 240\textup,000$

Correct answer:

$24\textup,000\textup,000$ $\displaystyle 24\textup,000\textup,000$

Explanation:

The power of $\displaystyle 10$ tells us how to move our decimal. Because we have a positive $\displaystyle 7$ power, we move our decimal over $\displaystyle 7$ places to the right.

$2.4\rightarrow 24000000.$ $\displaystyle 2.4\rightarrow 24000000.$

Report an Error

Example Question #314 : Common Core Math: Grade 5

What is $3.8\times10^5$ $\displaystyle 3.8\times10^5$ in standard form?

Possible Answers:

$\displaystyle 38$

380 $\displaystyle 380$

$380\textup,000$ $\displaystyle 380\textup,000$

$38\textup,000$ $\displaystyle 38\textup,000$

$3\textup,800$ $\displaystyle 3\textup,800$

Correct answer:

$380\textup,000$ $\displaystyle 380\textup,000$

Explanation:

The power of $\displaystyle 10$ tells us how to move our decimal. Because we have a positive $\displaystyle 5$ power, we move our decimal over $\displaystyle 5$ places to the right.

$3.8\rightarrow 380000.$ $\displaystyle 3.8\rightarrow 380000.$

Report an Error

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All Common Core: 5th Grade Math Resources

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Common Core: 5th Grade Math : Common Core Math: Grade 5

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #311 : Common Core Math: Grade 5

Example Question #91 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

Example Question #312 : Common Core Math: Grade 5

Example Question #311 : Common Core Math: Grade 5

Example Question #312 : Common Core Math: Grade 5

Example Question #313 : Common Core Math: Grade 5

Example Question #92 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

Example Question #131 : Number & Operations In Base Ten

Example Question #132 : Number & Operations In Base Ten

Example Question #314 : Common Core Math: Grade 5

All Common Core: 5th Grade Math Resources

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