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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Example Questions

Example Question #291 : Common Core Math: Grade 5

What is \(\displaystyle 8\times10^2\) in standard form?

Possible Answers:

\(\displaystyle 8\textup,000\)

\(\displaystyle 80\textup,000\)

\(\displaystyle 800\textup,000\)

\(\displaystyle 800\)

\(\displaystyle 80\)

Correct answer:

\(\displaystyle 800\)

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. 

\(\displaystyle 8.\rightarrow 800.\)

Example Question #292 : Common Core Math: Grade 5

What is \(\displaystyle 1\times10^7\) in standard form? 

Possible Answers:

\(\displaystyle 10\textup,000\)

\(\displaystyle 100\textup,000\)

\(\displaystyle 1\textup,000\textup,000\)

\(\displaystyle 100\textup,000\textup,000\)

\(\displaystyle 10\textup,000\textup,000\)

Correct answer:

\(\displaystyle 10\textup,000\textup,000\)

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. 

\(\displaystyle 1.\rightarrow 10000000.\)

Example Question #293 : Common Core Math: Grade 5

What is \(\displaystyle 9\times10^3\) in standard form? 

Possible Answers:

\(\displaystyle 90\textup,000\)

\(\displaystyle 900\textup,000\)

\(\displaystyle 90\)

\(\displaystyle 9\textup,000\)

\(\displaystyle 900\)

Correct answer:

\(\displaystyle 9\textup,000\)

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. 

\(\displaystyle 9.\rightarrow 9000.\)

Example Question #72 : Explain Patterns When Multiplying By A Power Of 10: Ccss.Math.Content.5.Nbt.A.2

What is \(\displaystyle 3.7\times10^1\) in standard form? 

Possible Answers:

\(\displaystyle 3\textup,700\)

\(\displaystyle 370\)

\(\displaystyle 370\textup,000\)

\(\displaystyle 37\)

\(\displaystyle 37\textup,000\)

Correct answer:

\(\displaystyle 37\)

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. 

\(\displaystyle 3.7\rightarrow 37.\)

Example Question #291 : Common Core Math: Grade 5

What is \(\displaystyle 9.4\times10^7\) in standard form? 

Possible Answers:

\(\displaystyle 940\textup,000\textup,000\)

\(\displaystyle 94\textup,000\textup,000\)

\(\displaystyle 940\textup,000\)

\(\displaystyle 9\textup,400\)

\(\displaystyle 9\textup,400\textup,000\)

Correct answer:

\(\displaystyle 94\textup,000\textup,000\)

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. 

\(\displaystyle 9.4\rightarrow 94000000.\)

Example Question #111 : Number & Operations In Base Ten

What is \(\displaystyle 1.8\times10^5\) in standard form? 

Possible Answers:

\(\displaystyle 180\textup,000\)

\(\displaystyle 18\textup,000\)

\(\displaystyle 1\textup,800\)

\(\displaystyle 18\)

\(\displaystyle 180\)

Correct answer:

\(\displaystyle 180\textup,000\)

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. 

\(\displaystyle 1.8\rightarrow 180000.\)

Example Question #112 : Number & Operations In Base Ten

What is \(\displaystyle 8.1\times10^2\) in standard form? 

Possible Answers:

\(\displaystyle 810\)

\(\displaystyle 8\textup,100\)

\(\displaystyle 81\)

\(\displaystyle 810\textup,00\)

\(\displaystyle 81\textup,000\)

Correct answer:

\(\displaystyle 810\)

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. 

\(\displaystyle 8.1\rightarrow 810.\)

Example Question #291 : Common Core Math: Grade 5

What is \(\displaystyle 9.6\times10^3\) in standard form? 

Possible Answers:

\(\displaystyle 960\textup,000\)

\(\displaystyle 96\textup,000\)

\(\displaystyle 9\textup,600\)

\(\displaystyle 960\)

\(\displaystyle 9\textup,600\textup,000\)

Correct answer:

\(\displaystyle 9\textup,600\)

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. 

\(\displaystyle 9.6\rightarrow 9600.\)

Example Question #294 : Common Core Math: Grade 5

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

Possible Answers:

\(\displaystyle 60\textup,000\)

\(\displaystyle 60\)

\(\displaystyle 600\textup,000\)

\(\displaystyle 6\textup,000\)

\(\displaystyle 600\)

Correct answer:

\(\displaystyle 600\)

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. 

\(\displaystyle 6.\rightarrow 600.\)

Example Question #112 : Number & Operations In Base Ten

What is \(\displaystyle 5\times10^5\) in standard form? 

Possible Answers:

\(\displaystyle 500\textup,000\)

\(\displaystyle 50\)

\(\displaystyle 500\)

\(\displaystyle 5\textup,000\)

\(\displaystyle 50\textup,000\)

Correct answer:

\(\displaystyle 500\textup,000\)

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. 

\(\displaystyle 5.\rightarrow 500000.\)

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