Question

What is the correct representation of 702.0 g in scientific notation?
A. 7.02 x 103g
B. 70.20 x 101 g
C. 7.020 x 102 g
D. 70.20 x 102 g
(answer fast !!)

Answer 1

Answer:

C. 7.020 x 10^2 g

Explanation:

To convert to scientific notation, move the decimal until there is only one digit greater than 1 and less than 10 before the decimal. In this case, the 7. (Depending on the conversion, you will either move the decimal to the left or right. In this question, you will need to move it left. When you move the decimal left, you inherently think you are moving it in the negative direction, but your final answer will be a positive exponent. The opposite is true for movement in the right direction, leaving a negative exponent in your final answer.)

Then, count the number of places that you moved the decimal from the original number (in this case, you moved it 2 decimal places to the left).

Because you moved the decimal 2 places to the left (-), when you write it in scientific notation, you want to annotate the exponent as the opposite, (+), so that you do not lose the equivalence of the original number (in this case, state it as 10^2 as in choice C).  

Note: Once you do your conversion, you can plug it into your calculator and press "=" to verify that you did not change the number in doing your conversion.

Answer 2

Taking into account the definition of Scientific notation, the correct representation of 702.0 g in scientific notation is option C. 7.020×10² g.

First of all, scientific notation is a quick way to represent a number using powers of base 10. This notation is used to be able to express very large or very small numbers very easily.

The numbers are written as a product:

a×10ⁿ

where:

• a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.
• n = a whole number, which is called an exponent or an order of magnitude. Represents the number of times the point decimal is shifted. It is always an integer, positive if it is shifted to the left, negative if it is shifted to the right.

In this case, to write the number 702.0 in scientific notation, the following steps are performed:

1. The decimal point is moved to the left as many spaces until it reaches the right of the first digit. This number will be the value of a in the previous expression. Then a = 7.020
2. The base 10 is written with the exponent equal to the number of spaces that the decimal point moves. This is a positive number because the decimal point is shifted to the left, and it will have a value of n = 2.

So, the correct representation of 702.0 g in scientific notation is option C. 7.020×10² g.

Learn more about scientific notation:

• https://brainly.com/question/18073768?referrer=searchResults