Hello I truly need some help on the below math problem.
The mass of the sun is 2 x 10 to the 27th power metric tons, or 2 x 10 to the 30th power kilograms. How many kilograms are in one metric unit?
One metric ton is equal to _____ kilograms.
How would I go about finding out how to do this with the exponents?
1 metric ton = 1000 kg
notice (2 x 10^30)/(2 x 10^27) = 10^3 = 1000
Behold the simplicity and beauty of the metric system.
Hello Reiny. This makes sense on how you showed me because now I have a better understanding of this.
Thank you
To find out how many kilograms are in one metric unit, we need to understand the relationship between metric tons and kilograms.
One metric ton is equal to 1000 kilograms. This relationship is fixed and does not change.
In scientific notation, 2 x 10^27 metric tons can be written as 2 x 10^30 kilograms. This means that the mass of the sun is 2 times 10 raised to the power of 30 kilograms.
To find out how many kilograms are in one metric unit, we need to divide the mass of the sun by the number of metric tons.
So, to calculate it:
1 metric unit = (2 x 10^30 kilograms) / (2 x 10^27 metric tons)
Now, when dividing numbers with the same base but with different exponents, you subtract the exponents.
In this case, we have 10^30 divided by 10^27. By subtracting the exponents, we get 10^(30 - 27), which simplifies to 10^3.
So,
1 metric unit = 2 x 10^3 kilograms
Therefore, there are 2 x 10^3 kilograms in one metric unit.