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4 years ago

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A number written in scientific notation has the form a×10k, where 1≤a<10 and k is an integer, that is, k is one of ...−3,−2,−

1,0,1,2,3.... Part A Determine the values of a and k when 299,790,000 is written in scientific notation. Enter a and k, separated by commas.

2 answers:

Ivenika [448]4 years ago

4 0

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>

Scientific notation; brainly.com/question/1425002
Example of a question: brainly.com/question/1425002
Writing number in scientific notation: brainly.com/question/1425002

Level: Middle school

Subject: Mathematics

Topic: Standard form/scientific notation

Sub-topic: Writing numbers in scientific notation

Evgen [1.6K]4 years ago

3 0

scientific notation is given as

$a \times 10^k$

here we know that

1 < a < 10 and

k = whole number

now the number will be

N = 299,790,000

here we know that

$N = 2.99 \times 10^8$

so we have

a = 2.99

k = 8

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(d)

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$\omega_2\,^2=\omega_1\,^2+2.\alpha_2 .n_2$

$12.5664^2=8.168^2+2\alpha_2\times 11$

$\alpha_2=4.1454\,rad.s^{-2}$

(e)

using the equation of motion:

$\omega_2=\omega_1+\alpha_2 . t_2$

$12.5664=8.168+4.1454\times t_2$

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