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The diameter of Neptune is \( 5.0 \times 10^{4} \mathrm{~km} \) The diameter of Mars is \( 6.8 \times 10^{3} \mathrm{~km} \) Calculate the difference between the diameter of Neptune and the diameter of Mars. Give your answer in standard form.

Ask by Christensen Gibson. in the United Kingdom
Jan 21,2025

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Answer

The difference between the diameter of Neptune and Mars is \( 4.3 \times 10^{4} \mathrm{~km} \).

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The Deep Dive

To find the difference between the diameters of Neptune and Mars, we first convert their diameters to the same format for easy calculation. Diameter of Neptune: \( D_N = 5.0 \times 10^{4} \, \text{km} \) Diameter of Mars: \( D_M = 6.8 \times 10^{3} \, \text{km} \) We can express \( D_M \) in the same power of ten as \( D_N \): \( D_M = 0.068 \times 10^{4} \, \text{km} \) Now, we subtract the two: \[ D_N - D_M = (5.0 \times 10^{4} \, \text{km}) - (0.068 \times 10^{4} \, \text{km}) \] \[ = (5.0 - 0.068) \times 10^{4} \, \text{km} \] \[ = 4.932 \times 10^{4} \, \text{km} \] So, the difference between the diameter of Neptune and the diameter of Mars is \( 4.932 \times 10^{4} \, \text{km} \).

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