Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

Example Question #24 : Properties Of Exponents

What is \(\displaystyle 4^6\) written as a multiplication problem? 

 

Possible Answers:

\(\displaystyle 4\textup,096\)

\(\displaystyle 6\times6\times6\times6\times6\times6\)

\(\displaystyle 6\times6\times6\times6\)

\(\displaystyle 4\times4\times4\times4\times4\times4\)

\(\displaystyle 24\)

Correct answer:

\(\displaystyle 4\times4\times4\times4\times4\times4\)

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is \(\displaystyle 4\) and our exponential value is \(\displaystyle 6\). So we multiply \(\displaystyle 4\) by itself \(\displaystyle 6\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 4^6\). Because of this, \(\displaystyle 4\times4\times4\times4\times4\times4\) is our correct answer.

Example Question #22 : How To Find The Properties Of An Exponent

What is \(\displaystyle 5^3\) written as a multiplication problem? 

 

Possible Answers:

\(\displaystyle 5\times5\times5\)

\(\displaystyle 15\)

\(\displaystyle 5\times3\)

\(\displaystyle 125\)

\(\displaystyle 3\times5\)

Correct answer:

\(\displaystyle 5\times5\times5\)

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is \(\displaystyle 5\) and our exponential value is \(\displaystyle 3\). So we multiply \(\displaystyle 5\) by itself \(\displaystyle 3\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 5^3\). Because of this, \(\displaystyle 5\times5\times5\) is our correct answer.

Example Question #31 : Properties Of Exponents

What is \(\displaystyle 6^5\) written as a multiplication problem? 

 

Possible Answers:

\(\displaystyle 6\times5\)

\(\displaystyle 7\textup,776\)

\(\displaystyle 15\textup,625\)

\(\displaystyle 6\times6\times6\times6\times6\)

\(\displaystyle 5\times5\times5\times5\times5\times5\)

Correct answer:

\(\displaystyle 6\times6\times6\times6\times6\)

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is \(\displaystyle 6\) and our exponential value is \(\displaystyle 5\). So we multiply \(\displaystyle 6\) by itself \(\displaystyle 5\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 6^5\). Because of this, \(\displaystyle 6\times6\times6\times6\times6\) is our correct answer.

Example Question #471 : Grade 6

What is \(\displaystyle 7^4\) written as a multiplication problem? 

 

Possible Answers:

\(\displaystyle 7\times7\times7\times7\)

\(\displaystyle 28\)

\(\displaystyle 16\textup,384\)

\(\displaystyle 4\times4\times4\times4\times4\times4\times4\)

\(\displaystyle 2\textup,401\)

Correct answer:

\(\displaystyle 7\times7\times7\times7\)

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is \(\displaystyle 7\) and our exponential value is \(\displaystyle 4\). So we multiply \(\displaystyle 7\) by itself \(\displaystyle 4\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 7^4\). Because of this, \(\displaystyle 7\times7\times7\times7\) is our correct answer.

Example Question #22 : Expressions & Equations

What is \(\displaystyle 8^2\) written as a multiplication problem? 

 

Possible Answers:

\(\displaystyle 8\times8\)

\(\displaystyle 8\times2\)

\(\displaystyle 2\times2\times2\times2\times2\times2\times2\times2\)

\(\displaystyle 16\)

\(\displaystyle 64\)

Correct answer:

\(\displaystyle 8\times8\)

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is \(\displaystyle 8\) and our exponential value is \(\displaystyle 2\). So we multiply \(\displaystyle 8\) by itself \(\displaystyle 2\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 8^2\). Because of this, \(\displaystyle 8\times8\) is our correct answer.

Example Question #31 : Properties Of Exponents

What is \(\displaystyle 9^5\) written as a multiplication problem? 

 

Possible Answers:

\(\displaystyle 9\times5\)

\(\displaystyle 45\)

\(\displaystyle 59\textup,049\)

\(\displaystyle 5\times5\times5\times5\times5\times5\times5\times5\times5\)

\(\displaystyle 9\times9\times9\times9\times9\)

Correct answer:

\(\displaystyle 9\times9\times9\times9\times9\)

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is \(\displaystyle 9\) and our exponential value is \(\displaystyle 5\). So we multiply \(\displaystyle 9\) by itself \(\displaystyle 5\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 9^5\). Because of this, \(\displaystyle 9\times9\times9\times9\times9\) is our correct answer.

Example Question #472 : Grade 6

What is \(\displaystyle 10^3\) written as a multiplication problem? 

 

Possible Answers:

\(\displaystyle 3\times3\times3\times3\times3\times3\times3\times3\times3\)

\(\displaystyle 20\)

\(\displaystyle 10\times10\times10\)

\(\displaystyle 1\textup,000\)

\(\displaystyle 30\)

Correct answer:

\(\displaystyle 10\times10\times10\)

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is \(\displaystyle 10\) and our exponential value is \(\displaystyle 3\). So we multiply \(\displaystyle 10\) by itself \(\displaystyle 3\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 10^3\). Because of this, \(\displaystyle 10\times10\times10\) is our correct answer.

Example Question #476 : Grade 6

What is \(\displaystyle 11^7\) written as a multiplication problem? 

 

Possible Answers:

\(\displaystyle 77\)

\(\displaystyle 777\)

\(\displaystyle 11\times11\times11\times11\times11\times11\times11\)

\(\displaystyle 7\times7\times7\times7\times7\times7\times7\times7\times7\times7\times7\)

\(\displaystyle 19\textup,487\textup,171\)

Correct answer:

\(\displaystyle 11\times11\times11\times11\times11\times11\times11\)

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is \(\displaystyle 11\) and our exponential value is \(\displaystyle 7\). So we multiply \(\displaystyle 11\) by itself \(\displaystyle 7\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 11^7\). Because of this, \(\displaystyle 11\times11\times11\times11\times11\times11\times11\) is our correct answer.

Example Question #477 : Grade 6

What is \(\displaystyle 12^4\) written as a multiplication problem? 

 

Possible Answers:

\(\displaystyle 12\times4\)

\(\displaystyle 20\textup,736\)

\(\displaystyle 12\times12\times12\times12\)

\(\displaystyle 4\times4\times4\times4\times4\times4\times4\times4\times4\times4\times4\times4\)

\(\displaystyle 48\)

Correct answer:

\(\displaystyle 12\times12\times12\times12\)

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is \(\displaystyle 12\) and our exponential value is \(\displaystyle 4\). So we multiply \(\displaystyle 12\) by itself \(\displaystyle 4\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 12^4\). Because of this, \(\displaystyle 12\times12\times12\times12\) is our correct answer.

Example Question #27 : Expressions & Equations

What is \(\displaystyle 1^3\) written as a multiplication problem? 

 

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 3\)

\(\displaystyle 1\times1\times1\)

\(\displaystyle 3\times3\times3\)

\(\displaystyle 3\times1\)

Correct answer:

\(\displaystyle 1\times1\times1\)

Explanation:

When expanding an exponent, we multiply the base by itself for the number indicated by the exponential value.

In this case, our base number is \(\displaystyle 1\) and our exponential value is \(\displaystyle 3\). So we multiply \(\displaystyle 1\) by itself \(\displaystyle 3\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 1^3\). Because of this, \(\displaystyle 1\times1\times1\) is our correct answer.

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