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Common Core: 5th Grade Math : Number & Operations in Base Ten

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

What is $6.3\times10^3$ $\displaystyle 6.3\times10^3$ in standard form?

Possible Answers:

630 $\displaystyle 630$

$6\textup,300$ $\displaystyle 6\textup,300$

$630\textup,000$ $\displaystyle 630\textup,000$

$63\textup,000$ $\displaystyle 63\textup,000$

$6\textup,300\textup,0000$ $\displaystyle 6\textup,300\textup,0000$

Correct answer:

$6\textup,300$ $\displaystyle 6\textup,300$

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.

$6.3\rightarrow 6300.$ $\displaystyle 6.3\rightarrow 6300.$

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Example Question #113 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

What is $5.6\times10^1$ $\displaystyle 5.6\times10^1$ in standard form?

Possible Answers:

560 $\displaystyle 560$

$5\textup,600$ $\displaystyle 5\textup,600$

$\displaystyle 56$

$560\textup,000$ $\displaystyle 560\textup,000$

$56\textup,000$ $\displaystyle 56\textup,000$

Correct answer:

$\displaystyle 56$

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.

$5.6\rightarrow 56.$ $\displaystyle 5.6\rightarrow 56.$

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Example Question #114 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

What is $2.3\times10^7$ $\displaystyle 2.3\times10^7$ in standard form?

Possible Answers:

$230\textup,000$ $\displaystyle 230\textup,000$

$2\textup,300\textup,000$ $\displaystyle 2\textup,300\textup,000$

$23\textup,000$ $\displaystyle 23\textup,000$

$23\textup,000\textup,000$ $\displaystyle 23\textup,000\textup,000$

$230\textup,000\textup,000$ $\displaystyle 230\textup,000\textup,000$

Correct answer:

$230\textup,000\textup,000$ $\displaystyle 230\textup,000\textup,000$

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.

$2.3\rightarrow 23000000.$ $\displaystyle 2.3\rightarrow 23000000.$

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Example Question #115 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

What is $3.7\times10^5$ $\displaystyle 3.7\times10^5$ in standard form?

Possible Answers:

$37\textup,000$ $\displaystyle 37\textup,000$

370 $\displaystyle 370$

$370\textup,000$ $\displaystyle 370\textup,000$

$\displaystyle 37$

$3\textup,700$ $\displaystyle 3\textup,700$

Correct answer:

$370\textup,000$ $\displaystyle 370\textup,000$

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.

$3.7\rightarrow 370000.$ $\displaystyle 3.7\rightarrow 370000.$

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Example Question #116 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

What is $1.9\times10^2$ $\displaystyle 1.9\times10^2$ in standard form?

Possible Answers:

$1\textup,900$ $\displaystyle 1\textup,900$

$\displaystyle 19$

$19\textup,000$ $\displaystyle 19\textup,000$

190 $\displaystyle 190$

$190\textup,000$ $\displaystyle 190\textup,000$

Correct answer:

190 $\displaystyle 190$

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.

$1.9\rightarrow 190.$ $\displaystyle 1.9\rightarrow 190.$

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Example Question #117 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

What is $2.5\times10^3$ $\displaystyle 2.5\times10^3$ in standard form?

Possible Answers:

$\displaystyle 25$

$250\textup,000$ $\displaystyle 250\textup,000$

250 $\displaystyle 250$

$2\textup,500$ $\displaystyle 2\textup,500$

$25\textup,000$ $\displaystyle 25\textup,000$

Correct answer:

$2\textup,500$ $\displaystyle 2\textup,500$

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.

$2.5\rightarrow 2500.$ $\displaystyle 2.5\rightarrow 2500.$

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Example Question #118 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

What is $5.5\times10^1$ $\displaystyle 5.5\times10^1$ in standard form?

Possible Answers:

$5\textup,500$ $\displaystyle 5\textup,500$

$\displaystyle 55$

550 $\displaystyle 550$

$55\textup,000$ $\displaystyle 55\textup,000$

$550\textup,000$ $\displaystyle 550\textup,000$

Correct answer:

$\displaystyle 55$

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.

$5.5\rightarrow 55.$ $\displaystyle 5.5\rightarrow 55.$

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Example Question #121 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

What is $5.1\times10^1$ $\displaystyle 5.1\times10^1$ in standard form?

Possible Answers:

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

$\displaystyle 51$

$51\textup,000$ $\displaystyle 51\textup,000$

510 $\displaystyle 510$

$510\textup,000$ $\displaystyle 510\textup,000$

Correct answer:

$\displaystyle 51$

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.

$5.1\rightarrow 51.$ $\displaystyle 5.1\rightarrow 51.$

Report an Error

Example Question #122 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

What is $2.7\times10^7$ $\displaystyle 2.7\times10^7$ in standard form?

Possible Answers:

$270\textup,000$ $\displaystyle 270\textup,000$

$27\textup,000\textup,000$ $\displaystyle 27\textup,000\textup,000$

$27\textup,000$ $\displaystyle 27\textup,000$

$2\textup,700\textup,000$ $\displaystyle 2\textup,700\textup,000$

$270\textup,000\textup,000$ $\displaystyle 270\textup,000\textup,000$

Correct answer:

$270\textup,000\textup,000$ $\displaystyle 270\textup,000\textup,000$

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.

$2.7\rightarrow 27000000.$ $\displaystyle 2.7\rightarrow 27000000.$

Report an Error

Example Question #123 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

What is $3.2\times10^5$ $\displaystyle 3.2\times10^5$ in standard form?

Possible Answers:

320 $\displaystyle 320$

$320\textup,000$ $\displaystyle 320\textup,000$

$3\textup,200$ $\displaystyle 3\textup,200$

$\displaystyle 32$

$32\textup,000$ $\displaystyle 32\textup,000$

Correct answer:

$320\textup,000$ $\displaystyle 320\textup,000$

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.

$3.2\rightarrow 320000.$ $\displaystyle 3.2\rightarrow 320000.$

Report an Error

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All Common Core: 5th Grade Math Resources

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Common Core: 5th Grade Math : Number & Operations in Base Ten

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #112 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

Example Question #113 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

Example Question #114 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

Example Question #115 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

Example Question #116 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

Example Question #117 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

Example Question #118 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

Example Question #121 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

Example Question #122 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

Example Question #123 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

All Common Core: 5th Grade Math Resources

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