Case Study 2:In solar system the distance between Sun and Saturn is 1,433,500,000,000 m. Thedistance between Saturn and Uranus is 1,439,000,000,000 m and the distancebetween Sun and Earth is 1.496 × 1011 m.1) Which of the three distances is smallest?2) The sum of the distance between Sun and Saturn, Saturn and Uranus inScientific notation is _____________3) The difference of the distance between Sun and Earth, Saturn and Uranus inScientific notation is ___________
Question
Case Study 2:In solar system the distance between Sun and Saturn is 1,433,500,000,000 m. Thedistance between Saturn and Uranus is 1,439,000,000,000 m and the distancebetween Sun and Earth is 1.496 × 1011 m.1) Which of the three distances is smallest?2) The sum of the distance between Sun and Saturn, Saturn and Uranus inScientific notation is _____________3) The difference of the distance between Sun and Earth, Saturn and Uranus inScientific notation is ___________
Solution
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The smallest distance is between the Sun and the Earth, which is 1.496 x 10^11 m.
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To find the sum of the distance between the Sun and Saturn, and Saturn and Uranus, we simply add the two distances together:
1,433,500,000,000 m (Sun to Saturn) + 1,439,000,000,000 m (Saturn to Uranus) = 2,872,500,000,000 m
In scientific notation, this is written as 2.8725 x 10^12 m.
- To find the difference of the distance between the Sun and Earth, and Saturn and Uranus, we subtract the smaller distance from the larger one:
1,439,000,000,000 m (Saturn to Uranus) - 1.496 x 10^11 m (Sun to Earth) = 1,289,400,000,000 m
In scientific notation, this is written as 1.2894 x 10^12 m.
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