Question

Express 6009m in scientific notation

Answer 1

Answer:

The number 6009 in scientific notation is 6.009*10³

Explanation:

Scientific notation is a quick way to represent a number using base ten powers. This notation is used 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 number that is not an integer.
• n is an integer, which receives the name of exponent or order of magnitude. Represents the number of times the comma moves. It is always an integer, positive if it moves to the left, negative if it moves to the right.

To write the number 6009 in scientific notation, the following steps are performed:

• The decimal point moves to the left as many spaces until it reaches the right of the first digit.  In this case: 6009=6.009

• This number is then written, which will be the coefficient a in the expression of the previous product.
• The base 10 is written with the exponent equal to the amount of spaces that the comma moves. This is a positive number because the comma moves to the left. So in this case: the exponent will be 3

Then the number 6009 in scientific notation is 6.009*10³

Answer 2

6.009 x 10^3. You have to put 6009 into a decimal that is less than 10. Count backwards from 9 until you get to a single digit. You would move the decimal back three places making it 10^3