College

What is the correct way to write [tex]$1,550,000,000$[/tex] in scientific notation?

A. [tex]1.55 \times 10^9[/tex]

B. [tex]1.55 \times 10^{10}[/tex]

C. [tex]15.5 \times 10^8[/tex]

D. [tex]15.5 \times 10^9[/tex]

Answer :

To write the number [tex]$1,550,000,000 in scientific notation, we take the following steps:

1. Identify the Coefficient: Scientific notation involves expressing a number as the product of a decimal number (called the coefficient) between 1 and 10 and a power of 10. We start by placing the decimal point in the number so that there is only one non-zero digit to its left. For $[/tex]1,550,000,000, the number becomes 1.55.

2. Determine the Power of 10: Next, we count how many places we move the decimal point to get from the original number to the new number (1.55). In this case, we move the decimal point 9 places to the left.

3. Write in Scientific Notation: Combine the coefficient and the power of 10 to express the number in scientific notation. Since we moved the decimal 9 places, the power of 10 will be 9. Therefore, [tex]$1,550,000,000 is written as $[/tex]1.55 \times 10^9[tex]$ in scientific notation.

The correct answer is: $[/tex]1.55 \times 10^9$.