Fill in the chart below with the distances from each planet to the sun, written in scientific notation.
Planet
Distance from the Sun in kilometers (written in SCIENTIFIC NOTATION)
Mercury
5.7 x 10^7 km
Venus
1.08 x 10^8 km
Earth
1.5 x 10^8 km
Mars
2.28 x 10^8 km
Jupiter
7.79 x 10^8 km
Saturn
1.43 x 10^9 km
Uranus
2.88 x 10^9 km
Neptune
4.5 x 10^9 km
Subtract the shortest distance from the longest distance. Show your work.
Shortest distance: 5.7 x 10^7 km
Longest distance: 4.5 x 10^9 km
Subtracting the shortest distance from the longest distance:
(4.5 x 10^9 km) - (5.7 x 10^7 km)
To subtract numbers in scientific notation, we need to have the same exponent. Let's convert 5.7 x 10^7 km to the same exponent as 4.5 x 10^9 km, which is 10^9:
(4.5 x 10^9 km) - (5.7 x 10^7 km)
= (4.5 x 10^9 km) - (0.57 x 10^9 km)
= (4.5 - 0.57) x 10^9 km
= 3.93 x 10^9 km
Therefore, the difference between the shortest distance and longest distance is 3.93 x 10^9 km.
Longest distance: Neptune = 4.5 x 10^9 km
Shortest distance: Mercury = 5.7 x 10^7 km
To subtract the shortest distance from the longest distance, we can use the formula:
Longest distance - Shortest distance
(4.5 x 10^9 km) - (5.7 x 10^7 km)
First, we need to convert both numbers to the same power of 10. Since 5.7 x 10^7 km = 57 x 10^6 km, we can rewrite the equation as:
(4.5 x 10^9 km) - (57 x 10^6 km)
Then, we subtract the numbers without changing their powers of 10:
4.5 x 10^9 km - 57 x 10^6 km
= 4.5 x 10^9 km - 0.057 x 10^9 km
= (4.5 - 0.057) x 10^9 km
= 4.443 x 10^9 km
So, the difference between the shortest distance (Mercury) and the longest distance (Neptune) is 4.443 x 10^9 km.
To subtract the shortest distance from the longest distance, we need to determine which distances correspond to the shortest and longest values.
From the given chart, we can see that the shortest distance is from Mercury, which is 5.7 x 10^7 km, while the longest distance is from Neptune, which is 4.5 x 10^9 km.
To subtract these values, we can rewrite them in standard notation and then perform the subtraction:
Shortest distance: 5.7 x 10^7 km = 57,000,000 km (since moving the decimal point to the right by 7 places corresponds to multiplying by 10^7)
Longest distance: 4.5 x 10^9 km = 4,500,000,000 km (since moving the decimal point to the right by 9 places corresponds to multiplying by 10^9)
Subtraction: 4,500,000,000 km - 57,000,000 km = 4,443,000,000 km.
So, subtracting the shortest distance from the longest distance gives us a total distance of 4,443,000,000 km.