Write 34392.55 in scientific notation.
A) 3.439255 × 10-3
B) 3.439255 × 103
C) 3.439255 x 104
D) 3.439255 × 10-4
Answer (2)
Move the decimal point in 34392.55 four places to the left to obtain a number between 1 and 10, which is 3.439255.
Since the decimal point was moved 4 places to the left, the exponent is 4.
Write the number in scientific notation as 3.439255 × 1 0 4 .
The scientific notation of 34392.55 is 3.439255 × 1 0 4 .
Explanation
Understanding Scientific Notation We are asked to convert the number 34392.55 into scientific notation. Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is typically written as a × 1 0 b , where 1 ≤ ∣ a ∣ < 10 and b is an integer.
Moving the Decimal Point To convert 34392.55 to scientific notation, we need to move the decimal point until we have a number between 1 and 10. In this case, we move the decimal point 4 places to the left: 34392.55 becomes 3.439255.
Determining the Exponent Since we moved the decimal point 4 places to the left, the exponent will be 4. Therefore, the scientific notation of 34392.55 is 3.439255 × 1 0 4 .
Selecting the Correct Option Comparing our result with the given options, we see that option OC matches our result: 3.439255 × 1 0 4 .
Final Answer Therefore, the scientific notation of 34392.55 is 3.439255 × 1 0 4 .
Examples
Scientific notation is used in various fields, such as physics, astronomy, and engineering, to represent very large or very small numbers. For example, the speed of light is approximately 3 × 1 0 8 meters per second, and the size of an atom is approximately 1 × 1 0 − 10 meters. Using scientific notation makes it easier to work with these numbers and perform calculations.
The scientific notation of 34392.55 is 3.439255 × 1 0 4 , which results from moving the decimal point four places to the left. The correct option from the given choices is C. This notation helps simplify large numbers for easier reading and calculation.
;
