Common Core: 6th Grade Math : Expressions & Equations

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

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Example Questions

Example Question #51 : Expressions & Equations

What is \(\displaystyle 1^6\) written as a multiplication problem?

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 6\times1\)

\(\displaystyle 1\times1\times1\times1\times1\times1\)

\(\displaystyle 6\)

\(\displaystyle 1\times6\)

Correct answer:

\(\displaystyle 1\times1\times1\times1\times1\times1\)

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 \(\displaystyle 6\). So we multiply \(\displaystyle 1\) by itself \(\displaystyle 6\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 1^6\). Because of this, \(\displaystyle 1\times1\times1\times1\times1\times1\) is our correct answer.

Example Question #51 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

What is \(\displaystyle 2^6\) written as a multiplication problem? 

Possible Answers:

\(\displaystyle 2\tims6\)

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

\(\displaystyle 12\)

\(\displaystyle 6\times6\)

\(\displaystyle 64\)

Correct answer:

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

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 \(\displaystyle 2\) and our exponential value is \(\displaystyle 6\). So we multiply \(\displaystyle 2\) by itself \(\displaystyle 6\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 2^6\). Because of this, \(\displaystyle 2\times2\times2\times2\times2\times2\) is our correct answer.

Example Question #52 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

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

Possible Answers:

\(\displaystyle 3\times5\)

\(\displaystyle 5\times5\times5\)

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

\(\displaystyle 243\)

\(\displaystyle 15\)

Correct answer:

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

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 \(\displaystyle 3\) and our exponential value is \(\displaystyle 5\). So we multiply \(\displaystyle 3\) by itself \(\displaystyle 5\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 3^5\). Because of this, \(\displaystyle 3\times3\times3\times3\times3\) is our correct answer.

Example Question #51 : Expressions & Equations

What is \(\displaystyle 4^5\) written as a multiplication problem? 

Possible Answers:

\(\displaystyle 4\times5\)

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

\(\displaystyle 1\textup,024\)

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

\(\displaystyle 20\)

Correct answer:

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

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 \(\displaystyle 5\). So we multiply \(\displaystyle 4\) by itself \(\displaystyle 5\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 4^5\). Because of this, \(\displaystyle 4\times4\times4\times4\times4\) is our correct answer.

Example Question #61 : Properties Of Exponents

What is \(\displaystyle 5^2\) written as a multiplication problem?

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 5\times2\)

\(\displaystyle 25\)

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

\(\displaystyle 5\times5\)

Correct answer:

\(\displaystyle 5\times5\)

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 \(\displaystyle 2\). So we multiply \(\displaystyle 5\) by itself \(\displaystyle 2\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 5^2\). Because of this, \(\displaystyle 5\times5\) is our correct answer.

Example Question #121 : Ssat Upper Level Quantitative (Math)

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

Possible Answers:

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

\(\displaystyle 6\times4\)

\(\displaystyle 24\)

\(\displaystyle 1\textup,296\)

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

Correct answer:

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

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 \(\displaystyle 4\). So we multiply \(\displaystyle 6\) by itself \(\displaystyle 4\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 6^4\). Because of this, \(\displaystyle 6\times6\times6\times6\) is our correct answer.

Example Question #501 : Grade 6

What is \(\displaystyle 7^3\) written as a multiplication problem?

Possible Answers:

\(\displaystyle 21\)

\(\displaystyle 7\times7\times7\)

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

\(\displaystyle 7\times3\)

\(\displaystyle 343\)

Correct answer:

\(\displaystyle 7\times7\times7\)

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 \(\displaystyle 3\). So we multiply \(\displaystyle 7\) by itself \(\displaystyle 3\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 7^3\). Because of this, \(\displaystyle 7\times7\times7\) is our correct answer.

Example Question #122 : Ssat Upper Level Quantitative (Math)

What is \(\displaystyle 8^5\) written as a multiplication problem? 

Possible Answers:

\(\displaystyle 40\)

\(\displaystyle 8\times5\)

\(\displaystyle 8\times8\times8\times8\times8\)

\(\displaystyle 32\textup,768\)

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

Correct answer:

\(\displaystyle 8\times8\times8\times8\times8\)

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 \(\displaystyle 5\). So we multiply \(\displaystyle 8\) by itself \(\displaystyle 5\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 8^5\). Because of this, \(\displaystyle 8\times8\times8\times8\times8\) is our correct answer.

Example Question #53 : Write And Evaluate Numerical Expressions With Exponents: Ccss.Math.Content.6.Ee.A.1

What is \(\displaystyle 9^4\) written as a multiplication problem? 

Possible Answers:

\(\displaystyle 6\textup,561\)

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

\(\displaystyle 36\)

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

\(\displaystyle 9\times4\)

Correct answer:

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

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 \(\displaystyle 4\). So we multiply \(\displaystyle 9\) by itself \(\displaystyle 4\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 9^4\). Because of this, \(\displaystyle 9\times9\times9\times9\) is our correct answer.

Example Question #511 : Grade 6

What is \(\displaystyle 10^5\) written as a multiplication problem?

Possible Answers:

\(\displaystyle 100\textup,000\)

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

\(\displaystyle 10\times10\times10\times10\times10\)

\(\displaystyle 10\times5\)

\(\displaystyle 50\)

Correct answer:

\(\displaystyle 10\times10\times10\times10\times10\)

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 \(\displaystyle 5\). So we multiply \(\displaystyle 10\) by itself \(\displaystyle 5\) times. 

Remember, the question asks us for the multiplication problem, not the answer to \(\displaystyle 10^5\). Because of this, \(\displaystyle 10\times10\times10\times10\times10\) is our correct answer.

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