The problem states that the Mid-Atlantic Ridge is spreading at approximately $5 \times 10^{-5}$ kilometers per year, and the East-Pacific Rise is spreading at approximately $1.5 \times 10^{-4}$ kilometers per year. We need to find how many times faster the East-Pacific Rise is spreading compared to the Mid-Atlantic Ridge, and express the answer in standard form without using exponents.

ArithmeticScientific NotationDivisionRatio
2025/4/28

1. Problem Description

The problem states that the Mid-Atlantic Ridge is spreading at approximately 5×1055 \times 10^{-5} kilometers per year, and the East-Pacific Rise is spreading at approximately 1.5×1041.5 \times 10^{-4} kilometers per year. We need to find how many times faster the East-Pacific Rise is spreading compared to the Mid-Atlantic Ridge, and express the answer in standard form without using exponents.

2. Solution Steps

To find how many times faster the East-Pacific Rise is spreading compared to the Mid-Atlantic Ridge, we need to divide the spreading rate of the East-Pacific Rise by the spreading rate of the Mid-Atlantic Ridge.
1.5×1045×105 \frac{1.5 \times 10^{-4}}{5 \times 10^{-5}}
First, divide the coefficients:
1.55=0.3 \frac{1.5}{5} = 0.3
Next, divide the powers of 10:
104105=104(5)=104+5=101=10 \frac{10^{-4}}{10^{-5}} = 10^{-4 - (-5)} = 10^{-4 + 5} = 10^1 = 10
Now, multiply the results:
0.3×10=3 0.3 \times 10 = 3
So, the East-Pacific Rise is spreading 3 times as fast as the Mid-Atlantic Ridge.

3. Final Answer

3

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