A star has a diameter of 4,680,000,000 units. Express this number in scientific notation.
2 answers:
Answer:
Step-by-step explanation:
Scientific notation is defined as a way of writing very large or very small numbers.
A number between 1 to 10 is written in scientific notation when it is multiplied by a power of 10.
Here the given scenario is :
A star has a diameter of 4,680,000,000 units.
So, in scientific notation we can write this as :
We can check this if we multiply this by 10^9. This will shift the decimal to 9 places in the right side.
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ANSWER
EXPLANATION
We want to factor
out of
The first term is already having a factor of
The constant term which is the second term is not having a factor of
so we need to use a trick of multiplying and dividing by the same factor to obtain,
We can now factor
out of the right hand side to obtain,
Let us rewrite the right most fraction using the normal division symbol.
We simplify to obtain,
This further gives us,
EXPLANATION
We want to factor
out of
The first term is already having a factor of
The constant term which is the second term is not having a factor of
so we need to use a trick of multiplying and dividing by the same factor to obtain,
We can now factor
out of the right hand side to obtain,
Let us rewrite the right most fraction using the normal division symbol.
We simplify to obtain,
This further gives us,