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In scientific notation, 0.00001 is equal to 1 × 10⁻⁵.

FURTHER EXPLANATION

Scientific notation is a way of expressing very big or very small numbers conveniently and with the appropriate number of significant figures.  The general expression for the scientific notation is shown below:

M × 10ⁿ

M is a number that is greater than or equal to 1 but less than 10 and n is the number of times you have to multiply M by 10 to get the number.

The value of n can be easily determined by looking at the decimal point and counting the number of times it is moved to the left or to the right until a proper value of M is obtained.

The steps are as follows:

  1. Locate the decimal point in the given. If it's a whole number, there is an implied decimal point at the end or to the right of the last digit.
  2. Move the decimal point to the right or to the left until you get a number that is greater than or equal to 1 but less than 10. This will be the value of M.
  3. Count how many decimal places you moved through to get the value of M. This will be the numerical value of the exponent, n.

        NOTE: If the decimal point was moved to the left, then the

                    exponent n  will be written as positive (+x).

                    If the decimal point was moved to the right, then the

                   exponent  n will be written as negative (-x).

Applying the steps to the problem:

STEP 1: 0.00001

The decimal point is four places away from the digit 1.

STEP 2:  To get a number M that is greater than or equal to 1 but less than 10, the decimal point must be moved five places to the right and placed after the digit 1. (000001 or 1)

STEP 3: Since the decimal point was moved five places to the right, the exponent should have a magnitude of 5 and a negative sign. (1 × 10⁻⁵)

LEARN MORE

  1. significant figures brainly.com/question/11905420
  2. standard notation brainly.com/question/296147
  3. operation in scientific notation brainly.com/question/169955

Keywords: scientific notation, exponential notation

Scientific notation is a form that can be used to represent very large or very small numbers

The option that gives the correct representation of 0.00001 is scientific notation (standard form) is the option;

  • 10⁻⁵

Reason:

Required: To convert 0.00001 to a power of 10

Solution:

The method to convert a decimal to a scientific notation is given by moving the decimal point to the right of the first significant digit then multiply the result by 10 raised to the negative of the number of places the decimal point is moved

  • The general form of the scientific notation is [tex]a \times 10^b[/tex]

Where;

a = The number having only one digit to the left of the decimal point

b = The number of places the decimal point is moved (b is positive moving left and negative for moving right)

The given decimal number is 0.00001

Therefore, the decimal can be moved 5 places to the right to give;

0.00001 = 1.0 × 10⁻⁵ = 10⁻⁵

  • The correct option is 10⁻⁵

Learn more here:

https://brainly.com/question/17478191

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