
How do you write in scientific notation?
Answer
474.9k+ views
Hint: In order to convert into scientific notation, first move the decimal point in the number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number will be . Count how many places we move the decimal point. This number will be . Here we will move the decimal to the right, thus is negative. Write the scientific notation number as , which is the required solution.
Complete step-by-step answer:
Now, we need to write in scientific notation.
Scientific notation is a special way of writing big and small numbers as small decimal values.
Here, the proper format for scientific notation is , where is a number or decimal number such that the absolute value of is greater than or equal to one and less than ten. is the power of ten required so that the scientific notation is mathematically equivalent to the original number.
When we move the decimal point in the given number until there is only one non-zero digit to the left of the decimal point, then the number will be . Hence, .
And this number will be obtained when we move the decimal point to the right for places. We know that when we move the decimal to the right then is negative. Thus,
.
Now let us substitute the values in , we have,
Hence, the scientific notation of is .
So, the correct answer is “ ”.
Note: Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or scientific index form or standard form. The base ten notations is commonly used by scientists, mathematicians, and engineers, in part because it can simplify certain arithmetic operations.
Complete step-by-step answer:
Now, we need to write
Scientific notation is a special way of writing big and small numbers as small decimal values.
Here, the proper format for scientific notation is
When we move the decimal point in the given number until there is only one non-zero digit to the left of the decimal point, then the number will be
And this number will be obtained when we move the decimal point to the right for
Now let us substitute the values in
Hence, the scientific notation of
So, the correct answer is “
Note: Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or scientific index form or standard form. The base ten notations is commonly used by scientists, mathematicians, and engineers, in part because it can simplify certain arithmetic operations.
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