In scientific notation of 299,790,000 will be; 2.9979 × 10⁸
Thus, the value of a is 2.9979 and that of k is 8
<h2>Further Explanation: </h2><h3>Scientific Notation </h3>
- 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;
<u>Very small numbers.</u>
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
<u>Very large numbers</u>
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
<u>In the question.</u>
The number is 299,790,000
Therefore, the decimal point will be moved to the left 8 places, therefore the exponent will be positive.
Therefore; the scientific notation will be; 2.9979 × 10⁸
Thus , the value of a is 2.9979 and that of k is 8
Keywords; Scientific notation
<h2>Learn more about: </h2>
Level: Middle school
Subject: Mathematics
Topic: Standard form/scientific notation
Sub-topic: Writing numbers in scientific notation
