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Common Core: 8th Grade Math : Use Powers of 10 to Estimate Quantities: CCSS.Math.Content.8.EE.A.3

Study concepts, example questions & explanations for Common Core: 8th Grade Math

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Example Questions

Example Question #11 : Use Powers Of 10 To Estimate Quantities: Ccss.Math.Content.8.Ee.A.3

Select the number that is equal to nine times ten to the tenth power.

Possible Answers:

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

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

$90\textup,000\textup,000$

$900\textup,000\textup,000$

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

Correct answer:

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

Explanation:

Nine times ten to the tenth power can be written numerically as the following:

$9\times10^{10}$

When a number between one and ten is multiplied by a power of ten it is said to be written in scientific notation. This number is currently written in scientific notation.

Even though this appears to be a challenging math problem (i.e. because we have a power of ten), we can simply move our decimal place after the nine, or 9.0 , over spaces to the right using zeros as place holders.

$9.0\times 10^{10}=90000000000.0$

Add commas and simplify.

$90000000000.0\rightarrow90\textup,000\textup,000\textup,000$

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Example Question #12 : Use Powers Of 10 To Estimate Quantities: Ccss.Math.Content.8.Ee.A.3

Select the number that is equal to four times ten to the eighth power.

Possible Answers:

$400\textup,000$

$400\textup,000\textup,000$

$40\textup,000\textup,000$

$4\textup,000\textup,000$

$40\textup,000$

Correct answer:

$400\textup,000\textup,000$

Explanation:

Four times ten to the eighth power can be written numerically as the following:

$4\times10^8$

When a number between one and ten is multiplied by a power of ten it is said to be written in scientific notation. This number is currently written in scientific notation.

Even though this appears to be a challenging math problem (i.e. because we have a power of ten), we can simply move our decimal place after the four, or 4.0 , over spaces to the right using zeros as place holders.

$4.0\times 10^8=400000000.0$

Add commas and simplify.

$400000000.0\rightarrow400\textup,000\textup,000$

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Common Core: 8th Grade Math : Use Powers of 10 to Estimate Quantities: CCSS.Math.Content.8.EE.A.3

Study concepts, example questions & explanations for Common Core: 8th Grade Math

All Common Core: 8th Grade Math Resources

Example Questions

Example Question #11 : Use Powers Of 10 To Estimate Quantities: Ccss.Math.Content.8.Ee.A.3

Example Question #12 : Use Powers Of 10 To Estimate Quantities: Ccss.Math.Content.8.Ee.A.3

All Common Core: 8th Grade Math Resources

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