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

What is $5.1\times10^2$ $\displaystyle 5.1\times10^2$ in standard form?

Possible Answers:

510 $\displaystyle 510$

$51\textup,100$ $\displaystyle 51\textup,100$

$5\textup,100$ $\displaystyle 5\textup,100$

$\displaystyle 51$

$51\textup,00$ $\displaystyle 51\textup,00$

Correct answer:

510 $\displaystyle 510$

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.

$5.1\rightarrow 510.$ $\displaystyle 5.1\rightarrow 510.$

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Example Question #79 : Number & Operations In Base Ten

What is $6.6\times10^3$ $\displaystyle 6.6\times10^3$ in standard form?

Possible Answers:

$6\textup,600$ $\displaystyle 6\textup,600$

$60\textup,600$ $\displaystyle 60\textup,600$

$66\textup,000$ $\displaystyle 66\textup,000$

$\displaystyle 66$

660 $\displaystyle 660$

Correct answer:

$6\textup,600$ $\displaystyle 6\textup,600$

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.

$6.6\rightarrow 6600.$ $\displaystyle 6.6\rightarrow 6600.$

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Example Question #71 : Number & Operations In Base Ten

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

Possible Answers:

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

$300\textup,000$ $\displaystyle 300\textup,000$

$\displaystyle 30$

300 $\displaystyle 300$

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

Correct answer:

300 $\displaystyle 300$

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.

$3.\rightarrow 300.$ $\displaystyle 3.\rightarrow 300.$

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Example Question #261 : Common Core Math: Grade 5

What is $2\times10^5$ $\displaystyle 2\times10^5$ in standard form?

Possible Answers:

$20\textup,000$ $\displaystyle 20\textup,000$

$\displaystyle 20$

200 $\displaystyle 200$

$2\textup,000$ $\displaystyle 2\textup,000$

$200\textup,000$ $\displaystyle 200\textup,000$

Correct answer:

$200\textup,000$ $\displaystyle 200\textup,000$

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.

$2.\rightarrow 200000.$ $\displaystyle 2.\rightarrow 200000.$

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Example Question #81 : Number & Operations In Base Ten

What is $1\times10^4$ $\displaystyle 1\times10^4$ in standard form?

Possible Answers:

100 $\displaystyle 100$

$\displaystyle 10$

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

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

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

Correct answer:

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

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.

$1.\rightarrow 10000.$ $\displaystyle 1.\rightarrow 10000.$

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Example Question #261 : Common Core Math: Grade 5

What is $9\times10^8$ $\displaystyle 9\times10^8$ in standard form?

Possible Answers:

$900\textup,000$ $\displaystyle 900\textup,000$

$90\textup,000\textup,000$ $\displaystyle 90\textup,000\textup,000$

$900\textup,000\textup,000$ $\displaystyle 900\textup,000\textup,000$

$9\textup,000\textup,000$ $\displaystyle 9\textup,000\textup,000$

$90\textup,000$ $\displaystyle 90\textup,000$

Correct answer:

$900\textup,000\textup,000$ $\displaystyle 900\textup,000\textup,000$

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.

$9.\rightarrow 900000000.$ $\displaystyle 9.\rightarrow 900000000.$

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Example Question #81 : Number & Operations In Base Ten

What is $6\times10^2$ $\displaystyle 6\times10^2$ in standard form?

Possible Answers:

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

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

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

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

600 $\displaystyle 600$

Correct answer:

600 $\displaystyle 600$

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.

$6.\rightarrow 600.$ $\displaystyle 6.\rightarrow 600.$

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Example Question #262 : Common Core Math: Grade 5

What is $8\times10^7$ $\displaystyle 8\times10^7$ in standard form?

Possible Answers:

$8\textup,000\textup,000$ $\displaystyle 8\textup,000\textup,000$

$800\textup,000\textup,000$ $\displaystyle 800\textup,000\textup,000$

$80\textup,000\textup,000$ $\displaystyle 80\textup,000\textup,000$

$800\textup,000$ $\displaystyle 800\textup,000$

$80\textup,000$ $\displaystyle 80\textup,000$

Correct answer:

$80\textup,000\textup,000$ $\displaystyle 80\textup,000\textup,000$

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.

$8.\rightarrow 80000000.$ $\displaystyle 8.\rightarrow 80000000.$

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Example Question #83 : Number & Operations In Base Ten

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

Possible Answers:

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

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

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

700 $\displaystyle 700$

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

Correct answer:

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

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.

$7.\rightarrow 7000.$ $\displaystyle 7.\rightarrow 7000.$

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Example Question #262 : Common Core Math: Grade 5

What is $1.7\times10^1$ $\displaystyle 1.7\times10^1$ in standard form?

Possible Answers:

$170\textup,000$ $\displaystyle 170\textup,000$

170 $\displaystyle 170$

$1\textup,700$ $\displaystyle 1\textup,700$

$\displaystyle 17$

$17\textup,000$ $\displaystyle 17\textup,000$

Correct answer:

$\displaystyle 17$

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.

$1.7\rightarrow 17.$ $\displaystyle 1.7\rightarrow 17.$

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

Example Question #79 : Number & Operations In Base Ten

Example Question #71 : Number & Operations In Base Ten

Example Question #261 : Common Core Math: Grade 5

Example Question #81 : Number & Operations In Base Ten

Example Question #261 : Common Core Math: Grade 5

Example Question #81 : Number & Operations In Base Ten

Example Question #262 : Common Core Math: Grade 5

Example Question #83 : Number & Operations In Base Ten

Example Question #262 : Common Core Math: Grade 5

All Common Core: 5th Grade Math Resources

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