Cervantes French
01/19/2023 · Junior High School

Estimate the answer by rounding each number to one nonzero digit first, then perform the actual calculation, In 2005 , there were 3.418 miltion square kilomelers of rainforest in a certain country. Each year, approximately 0.013 million square kilometer is lost to deforestation and development. By 2016 , how many square kilometers of rainforest remained? Estimate. Do not round the years, 2005 and 2016 . In 2016 , the area of rainforest will be about 2.9 million square kilometers. (Type a whole number or a decimal.) In 2016 , the area of rainforest will be \( \square \) million square kilometers. (Type a whole number or a decimal.)

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To estimate the area of rainforest remaining in 2016, we first round the numbers involved to one nonzero digit. 1. **Initial area of rainforest in 2005**: - 3.418 million square kilometers rounds to **3 million square kilometers**. 2. **Annual loss due to deforestation**: - 0.013 million square kilometers rounds to **0.01 million square kilometers**. 3. **Number of years from 2005 to 2016**: - This is 11 years. Now, we can calculate the estimated total loss of rainforest over these 11 years: \[ \text{Total loss} = \text{Annual loss} \times \text{Number of years} = 0.01 \, \text{million} \times 11 = 0.11 \, \text{million square kilometers} \] Next, we subtract the estimated total loss from the initial area: \[ \text{Estimated area in 2016} = \text{Initial area} - \text{Total loss} = 3 \, \text{million} - 0.11 \, \text{million} = 2.89 \, \text{million square kilometers} \] Now, rounding this to one decimal place gives us approximately **2.9 million square kilometers**. Thus, the estimated area of rainforest in 2016 is: \[ \text{In 2016, the area of rainforest will be } 2.9 \text{ million square kilometers.} \]

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The estimated area of rainforest in 2016 is 2.9 million square kilometers.
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