Verified Answer :

The correct answer to the question is \(D)\ 6.9\times 10^{-4}\)

EXPLANATION:

The magnitude of measurement of any physical quantity in scientific notation is expressed as follows-

                          Magnitude = \(p\times 10^n\ unit\).

Considering the numerical part only, magnitude m = \(p\times 10^n\).

Here, p ∈ Q, and 1 ≤ p ≤ 9.

Here, n is called the power or index of ten.

As per the question, we have m = 0.00069.

In proper scientific notation, the value is written as -

                                              m = 0.00069

                                                  = \(6.9\times 10^{-4}\)           [ans]

Hence, 0.00069 can be written as \(6.9\times 10^{-4}\) in scientific notation.

In scientific notation, 0.00069 is written as 6.9 × 10⁻⁴

Further Explanation:

Scientific Notation

  • Scientific notation or standard form refers to a way of writing very large and very small numbers for easier comparison and also use in computations.
  • To write a number in this form, we follow the form;
  • N × 10ᵃ

Where N is a number between 1 and 10, and "a" is an integer, positive or negative number.

  • This is achieved by moving the decimal point of a number either left or right until the new form is a number from 1 up to 10 (N) and 'a" is the number of places the decimal was moved.

For instance;

Very small numbers.

Example; 0.0000000234

The decimal place will be moved towards the right 8 places. In this case the exponent will be negative.

Thus; the scientific notation is; 2.34 × 10⁻⁸

Very large numbers

example;  7689400

The decimal place will be moved to the left 7 places. In this case the exponent will be positive.

Therefore; the scientific notation will be; 7.6894 × 10⁷

In our question.

The number is 0.00069

Therefore, the decimal point will be moved to the right 4 places, therefore the exponent will be negative.

Therefore; the scientific notation will be; 6.9 × 10⁻⁴

Keywords; Scientific notation

Learn more about:

  • Scientific notation; https://brainly.com/question/10401258
  • Example of a question: https://brainly.com/question/10844007
  • Writing number in scientific notation: https://brainly.com/question/5059550

Level: Middle school

Subject: Mathematics

Topic: Standard form/scientific notation

Sub-topic: Writing numbers in scientific notation

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