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A large waterfall is managed so that a minimum of 160,000 cubic feet of water per second
(ft/sec) flow over the falls. Find the minimum amount of water that will flow over the falls in a 24-hour period during tourist season. Write your answer in scientific notation
A minimum of cubic feet of water flow over the falls in a 24-hour period.
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)

Sagot :

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Answer:

  1.3824×10¹⁰

Step-by-step explanation:

You want the number of cubic feet of water flowing in a 24-hour period at the rate of 160,000 ft³/s.

Product

The volume is found by multiplying the flow rate by the time period.

  [tex]\dfrac{160000\text{ ft}^3}{s}\times\dfrac{86400\text{ s}}{\text{day}}=(1.6\times10^5)(0.864\times10^5)\dfrac{\text{ft}^3}{\text{day}}\\\\=\boxed{1.3824\times10^{10}\text{ ft$^3$/day}}[/tex]

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Additional comment

It is helpful to consider the power-of-ten multiplier of the most significant digit of a number when you want to write it in scientific notation. This comes directly from the idea of place value.

In scientific notation, there is one digit left of the decimal point, and the remaining significant digits of the number are to the right of the decimal point.

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