Express in standard form : 150, 000, 000, 000

Options

A. `1.5xx 10^(11)`
B. `15xx 10^(11)`
C. `15xx 10^(9)`
D. `150xx 10^(8)`

Answer

To express the number 150,000,000,000 in standard form, we need to follow these steps:

### Step-by-Step Solution:

1. **Identify the Number**: We start with the number 150,000,000,000.

2. **Move the Decimal Point**: In standard form, we want to express the number in the format \( a \times 10^n \) where \( a \) is a number between 1 and 10. The decimal point in the number 150,000,000,000 is at the end, so we can write it as 150,000,000,000.0.

3. **Finding the Correct Position for the Decimal**: We need to move the decimal point to the left until only one non-zero digit remains to the left of the decimal. In this case, we move the decimal point 11 places to the left:
- From 150,000,000,000.0 to 15.0 (after moving 1 place)
- Then to 1.5 (after moving 2 places)

4. **Count the Moves**: We moved the decimal point 11 places to the left. Therefore, we can express this movement as \( \times 10^{11} \).

5. **Write in Standard Form**: Now we can express the number in standard form:
\[ 150,000,000,000 = 1.5 \times 10^{11} \]

### Final Answer:
The standard form of 150,000,000,000 is \( 1.5 \times 10^{11} \).