The problem asks to find the difference in the approximate distance from the sun between Saturn and Venus, given their distances in scientific notation. The distance from Saturn to the sun is $1.4 \cdot 10^9$ km, and the distance from Venus to the sun is $1.1 \cdot 10^8$ km. We need to calculate the difference and express the answer in scientific notation.

Applied MathematicsScientific NotationSubtractionUnits ConversionApproximationExponents
2025/3/14

1. Problem Description

The problem asks to find the difference in the approximate distance from the sun between Saturn and Venus, given their distances in scientific notation. The distance from Saturn to the sun is 1.41091.4 \cdot 10^9 km, and the distance from Venus to the sun is 1.11081.1 \cdot 10^8 km. We need to calculate the difference and express the answer in scientific notation.

2. Solution Steps

We need to calculate the difference between the distance of Saturn and Venus from the sun:
SaturnVenus=1.41091.1108Saturn - Venus = 1.4 \cdot 10^9 - 1.1 \cdot 10^8.
First, we need to have the same exponent for both numbers. We can rewrite 1.41091.4 \cdot 10^9 as 1410814 \cdot 10^8 or we can rewrite 1.11081.1 \cdot 10^8 as 0.111090.11 \cdot 10^9. Let's use the second method.
1.41090.11109=(1.40.11)1091.4 \cdot 10^9 - 0.11 \cdot 10^9 = (1.4 - 0.11) \cdot 10^9
1.40.11=1.291.4 - 0.11 = 1.29
Therefore, the difference is 1.291091.29 \cdot 10^9.

3. Final Answer

1.291091.29 \cdot 10^9 km

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