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During its orbit around the sun, Venus gets as close as 4×1074 \times 10^7 kilometers from Earth and as far as 2.6×1082.6 \times 10^8 kilometers from Earth. What is the difference between these distances? Write your answer in scientific notation.\newline______ kilometers\newline

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Full solution

Q. During its orbit around the sun, Venus gets as close as 4×1074 \times 10^7 kilometers from Earth and as far as 2.6×1082.6 \times 10^8 kilometers from Earth. What is the difference between these distances? Write your answer in scientific notation.\newline______ kilometers\newline
  1. Write Distances: First, write down the distances: closest is 4×107 km4 \times 10^7 \, \text{km}, farthest is 2.6×108 km2.6 \times 10^8 \, \text{km}.
  2. Find Difference: To find the difference, subtract the closest distance from the farthest distance: 2.6×108 km−4×107 km.2.6 \times 10^8 \text{ km} - 4 \times 10^7 \text{ km}.
  3. Convert Exponents: Since the exponents are different, we can't subtract them directly. We need to make the exponents the same. Let's convert 4×107 km4 \times 10^7 \, \text{km} to 0.4×108 km.0.4 \times 10^8 \, \text{km}.
  4. Subtract Distances: Now subtract: 2.6×108 km−0.4×108 km=2.2×108 km.2.6 \times 10^8 \text{ km} - 0.4 \times 10^8 \text{ km} = 2.2 \times 10^8 \text{ km}.

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