Respuesta :
scientific notation is given as
[tex]a \times 10^k[/tex]
here we know that
1 < a < 10 and
k = whole number
now the number will be
N = 299,790,000
here we know that
[tex]N = 2.99 \times 10^8[/tex]
so we have
a = 2.99
k = 8
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
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 the question.
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
Learn more about:
- Scientific notation; https://brainly.com/question/1425002
- Example of a question: https://brainly.com/question/1425002
- Writing number in scientific notation: https://brainly.com/question/1425002
Level: Middle school
Subject: Mathematics
Topic: Standard form/scientific notation
Sub-topic: Writing numbers in scientific notation
