Weston Reid
05/14/2024 · High School
Estimate the answer by rounding each number to one nonzero digit first, then perform the actual calculation. In 2005 , there were 3.261 milion square kilometers of rainforest in a certain country. Each year, approximately 0.012 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 \( \square \) million square kilometers. (Type a whole number or a decimal.)
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Step-by-step Solution
Given:
- In 2005, there were 3.261 million square kilometers of rainforest.
- Each year, approximately 0.012 million square kilometers is lost to deforestation and development.
To estimate the remaining area of rainforest by 2016, we need to calculate the total area lost from 2005 to 2016 and subtract it from the initial area in 2005.
1. Calculate the total area lost from 2005 to 2016:
\[ \text{Total area lost} = 0.012 \times (2016 - 2005) \]
2. Calculate the remaining area of rainforest in 2016:
\[ \text{Remaining area} = 3.261 - \text{Total area lost} \]
Now, let's calculate the total area lost and the remaining area of rainforest in 2016.
Calculate the value by following steps:
- step0: Calculate:
\(0.012\left(2016-2005\right)\)
- step1: Subtract the numbers:
\(0.012\times 11\)
- step2: Multiply the numbers:
\(0.132\)
Calculate or simplify the expression \( 3.261 - 0.132 \).
Calculate the value by following steps:
- step0: Calculate:
\(3.261-0.132\)
- step1: Subtract the numbers:
\(3.129\)
The total area lost from 2005 to 2016 is approximately 0.132 million square kilometers.
The remaining area of rainforest in 2016 is approximately 3.129 million square kilometers.
Therefore, by 2016, the area of rainforest will be about 3.129 million square kilometers.
Quick Answer
The area of rainforest in 2016 will be about 3.129 million square kilometers.
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