Earth's mass, in kilograms, is 5.97x10^24. the moon's mass is 7.34x10^22. How many times greater is Earth's mass (in scientific notation)?
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Bhk.
Mass of earth is (5.97x 1024)kg and mass of moon is (7.35x 1022) kg then what is the total mass of moon and earth?
To find out how many times greater Earth's mass is compared to the moon's mass, we can divide Earth's mass by the moon's mass.
Earth's mass: 5.97x10^24 kg
Moon's mass: 7.34x10^22 kg
To divide these two values, we need to subtract the exponents of the scientific notation and then divide the mantissas:
Exponent difference: (24 - 22) = 2
Mantissa division: (5.97 / 7.34) = 0.8133 (approximately)
Writing the result in scientific notation, we have:
0.8133 x 10^2
Therefore, Earth's mass is approximately 0.8133 x 10^2 times greater than the moon's mass.
To find out how many times greater Earth's mass is than the Moon's mass, we need to divide Earth's mass by the Moon's mass.
Earth's mass: 5.97 x 10^24 kg
Moon's mass: 7.34 x 10^22 kg
Dividing these two values will give us the ratio between the two masses:
(5.97 x 10^24 kg) / (7.34 x 10^22 kg)
When dividing numbers written in scientific notation, we first divide the coefficients, and then subtract the exponents:
(5.97 / 7.34) x (10^24 / 10^22)
The division of the coefficients gives us:
0.813
Now, let's divide the exponents:
10^(24 - 22) = 10^2
Putting it all together, Earth's mass is approximately 0.813 x 10^2 times greater than the Moon's mass in scientific notation.