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

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

Questions 1 - 10

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

$9\textup,000$

$90\textup,000$

$900\textup,000$

Explanation

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

$9\times10^2$

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 , over spaces to the right using zeros as place holders.

$9.0\times 10^2=900.0$

Add commas and simplify.

$900.0\rightarrow900$

Select the number that is equal to three times ten to the seventh power.

$30\textup,000\textup,000$

$3\textup,000\textup,000$

$300\textup,000\textup,000$

$300\textup,000$

$30\textup,000$

Explanation

Three times ten to the seventh power can be written numerically as the following:

$3\times10^7$

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 three, or , over spaces to the right using zeros as place holders.

$3.0\times 10^7=30000000.0$

Add commas and simplify.

$30000000.0\rightarrow30\textup,000\textup,000$

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

$400\textup,000$

$40\textup,000$

$4\textup,000$

Explanation

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

$4\times10^5$

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 , over spaces to the right using zeros as place holders.

$4.0\times 10^5=400000.0$

Add commas and simplify.

$400000.0\rightarrow400\textup,000$

Select the number that is equal to two times ten to the fourth power.

$20\textup,000$

$2\textup,000$

$200\textup,000$

$2\textup,000\textup,000$

$20\textup,000\textup,000$

Explanation

Two times ten to the fourth power can be written numerically as the following:

$2\times10^4$

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 two, or , over spaces to the right using zeros as place holders.

$2.0\times 10^4=20000.0$

Add commas and simplify.

$20000.0\rightarrow20\textup,000$

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

$400\textup,000\textup,000$

$40\textup,000\textup,000$

$4\textup,000\textup,000$

$400\textup,000$

$40\textup,000$

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.

$4.0\times 10^8=400000000.0$

Add commas and simplify.

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

Select the number that is equal to two times ten to the third power.

$2\textup,000$

$20\textup,000$

$200\textup,000$

$2\textup,000\textup,000$

$20\textup,000\textup,000$

Explanation

Two times ten to the third power can be written numerically as the following:

$2\times10^3$

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.

$2.0\times 10^3=2000.0$

Add commas and simplify.

$2000.0\rightarrow 2\textup,000$

Select the number that is equal to six times ten to the sixth power.

$6\textup,000\textup,000$

$600\textup,000$

$60\textup,000$

$60\textup,000\textup,000$

$600\textup,000\textup,000$

Explanation

Six times ten to the sixth power can be written numerically as the following:

$6\times10^6$

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 six, or , over spaces to the right using zeros as place holders.

$6.0\times 10^6=6000000.0$

Add commas and simplify.

$6000000.0\rightarrow6\textup,000\textup,000$

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

$9\textup,000$

$90\textup,000$

$900\textup,000$

$9\textup,000\textup,000$

$90\textup,000\textup,000$

Explanation

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

$9\times10^3$

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.

$9.0\times 10^3=9000.0$

Add commas and simplify.

$9000.0\rightarrow9\textup,000$

Select the number that is equal to five times ten to the seventh power.

$50\textup,000\textup,000$

$500\textup,000\textup,000$

$5\textup,000\textup,000$

$500\textup,000$

$50\textup,000$

Explanation

Five times ten to the seventh power can be written numerically as the following:

$5\times10^7$

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 five, or , over spaces to the right using zeros as place holders.

$5.0\times 10^7=50000000.0$

Add commas and simplify.

$50000000.0\rightarrow50\textup,000\textup,000$

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

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

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

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

$900\textup,000\textup,000$

$90\textup,000\textup,000$

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.