Taking into account the definition of Scientific notation, the correct answer is the option A) 4.75×10⁻⁷ meters is written as 0.000000475 meters in standard form.
Scientific notation
Scientific notation is a quick way to represent a number using powers of base 10. This notation is used to be able to express very large or very small numbers very easily.
The numbers are written as a product:
a×10ⁿ
where:
- a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.
- n = a whole number, which is called an exponent or an order of magnitude. Represents the number of times the point decimal is shifted. It is always an integer, positive if it is shifted to the left, negative if it is shifted to the right.
4.75×10⁻⁷ meters in standard form
In this case, to write the number 4.75×10⁻⁷ in standard form, the following steps are performed:
To write a number in standard form, you move the decimal point the same number of places as the exponent:
- If the exponent is positive, you move the decimal point to the right.
- If the exponent is negative, you move the decimal point to the left.
So, 4.75×10⁻⁷ is written as 0.000000475 in standard form.
In summary, the correct answer is the option A) 4.75×10⁻⁷ meters is written as 0.000000475 meters in standard form.
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