The amount of rain that fell during Hurricane Isabel's lifetime was 400 trillion tons of water. (Remember that a trillion is the same as 1.0 x 1012.) Knowing that a ton is 2000 pounds and one pound is equivalent to 2.20 kg, how many kg of water is this? Do the calculation and write your answer in scientific notation.



To find how many kilograms (kg) of water fell during Hurricane Isabel, we'll first convert the given amount of water from tons to kilograms step by step.

### Given Data:
- Amount of water: \( 400 \times 10^{12} \) tons
- 1 ton = 2000 pounds
- 1 pound = 2.20 kilograms

### Steps:
1. **Convert tons to pounds**:
   \[
   400 \times 10^{12} \, \text{tons} \times 2000 \, \frac{\text{pounds}}{\text{ton}} = 800 \times 10^{15} \, \text{pounds}
   \]

2. **Convert pounds to kilograms**:
   \[
   800 \times 10^{15} \, \text{pounds} \times 2.20 \, \frac{\text{kg}}{\text{pound}} = 1760 \times 10^{15} \, \text{kg}
   \]
   This is equivalent to:
   \[
   1.76 \times 10^{18} \, \text{kg}
   \]

Thus, the total amount of water in kilograms is:
\[
1.76 \times 10^{18} \, \text{kg}
\]

Would you like further details on any step? Here are some related questions you might explore:

1. What is the volume of this amount of water in cubic meters?
2. How does this compare to the amount of water in the Earth's oceans?
3. How many liters of water is this?
4. How does the rainfall from Hurricane Isabel compare to a typical hurricane?
5. How much energy was released by this amount of water evaporating and then condensing?

**Tip:** When converting between units, it's helpful to write down the unit ratios clearly so you can track which units cancel out.

The amount of rain that fell during Hurricane Isabel's lifetime was 400 trillion tons of water. (Remember that a trillion is the same as 1.0 x 10^12.) Knowing that a ton is 2000 pounds and one pound is equivalent to 2.20 kg, how many kg of water is this? Do the calculation and write your answer in scientific notation.

Learn how to calculate the mass of water that fell during Hurricane Isabel in kilograms using unit conversion and scientific notation. This example covers converting tons to pounds, then to kilograms, resulting in 1.76 × 10^18 kg. Ideal for high school students studying unit conversion.

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