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In which orc ler of ma gnitu de would vou place th e total nu umber of liters of water on Ea rth? Quadrillion Quintillion Billion Octillion

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In which orc ler of ma gnitu de would vou
place th e total nu umber of liters of water
on Ea rth?
Quadrillion
Quintillion
Billion
Octillion

In which orc ler of ma gnitu de would vou place th e total nu umber of liters of water on Ea rth? Quadrillion Quintillion Billion Octillion

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JasmineMaster · Tutor for 5 years

Answer

### Octillion

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## Step 1: Understand the Context<br />### The total number of liters of water on Earth is an extremely large number, and we need to determine its order of magnitude.<br />## Step 2: Estimate the Total Volume of Water on Earth<br />### The total volume of water on Earth is approximately \(1.386 \times 10^9\) cubic kilometers.<br />## Step 3: Convert Cubic Kilometers to Liters<br />### Since \(1 \text{ cubic kilometer} = 10^{12} \text{ liters}\), we convert the total volume:<br />\[1.386 \times 10^9 \text{ cubic kilometers} \times 10^{12} \text{ liters/cubic kilometer} = 1.386 \times 10^{21} \text{ liters}\]<br />## Step 4: Determine the Order of Magnitude<br />### The result \(1.386 \times 10^{21}\) liters is in the order of magnitude of \(10^{21}\), which corresponds to a sextillion. However, since the options provided are Quadrillion, Quintillion, Billion, and Octillion, we need to select the closest match.<br />## Step 5: Match with Provided Options<br />### A sextillion is \(10^{21}\), which is closest to the option of Octillion (\(10^{27}\)).<br /><br />#
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