Answer :
To write the number [tex]$1,550,000,000$[/tex] in scientific notation, we need to express it as a number between 1 and 10, multiplied by a power of 10. Here’s how you can do it step-by-step:
1. Identify the Base Number:
- The number given is [tex]$1,550,000,000$[/tex].
- Move the decimal point to the left after the first non-zero digit, which is 1.55.
2. Count the Decimal Moves:
- Count how many places you've moved the decimal point from its original position at the end of the number to just after the first 1.
- [tex]$1,550,000,000$[/tex] has 9 digits after the decimal point, so you need to move the decimal 9 places to the left to end up with 1.55.
3. Write the Scientific Notation:
- Since the original number was large and you moved the decimal point to the left, this will be a positive exponent in scientific notation.
- Therefore, [tex]$1,550,000,000$[/tex] in scientific notation is written as [tex]$1.55 \times 10^9$[/tex].
Thus, the correct representation in scientific notation for the number [tex]$1,550,000,000$[/tex] is [tex]$1.55 \times 10^9$[/tex].
1. Identify the Base Number:
- The number given is [tex]$1,550,000,000$[/tex].
- Move the decimal point to the left after the first non-zero digit, which is 1.55.
2. Count the Decimal Moves:
- Count how many places you've moved the decimal point from its original position at the end of the number to just after the first 1.
- [tex]$1,550,000,000$[/tex] has 9 digits after the decimal point, so you need to move the decimal 9 places to the left to end up with 1.55.
3. Write the Scientific Notation:
- Since the original number was large and you moved the decimal point to the left, this will be a positive exponent in scientific notation.
- Therefore, [tex]$1,550,000,000$[/tex] in scientific notation is written as [tex]$1.55 \times 10^9$[/tex].
Thus, the correct representation in scientific notation for the number [tex]$1,550,000,000$[/tex] is [tex]$1.55 \times 10^9$[/tex].
