The standard form of 15240000 is

Options

A. `1.524 xx 10^(7)`
B. `1.524 xx 10^6`
C. `15.24 xx 10^2`
D. `1.524 xx 10^8`

Answer

To convert the number 15,240,000 into standard form, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the significant digits**: The number 15,240,000 can be broken down into its significant digits, which are 1, 5, 2, and 4.

2. **Write the number in scientific notation**: We want to express the number in the form \( a \times 10^n \), where \( 1 \leq a < 10 \). To do this, we can write:
\[ 15,240,000 = 1.524 \times 10^7 \]
Here, we moved the decimal point 7 places to the left to convert 15,240,000 into 1.524.

3. **Combine with the power of ten**: Since we moved the decimal point 7 places to the left, we multiply by \( 10^7 \). Thus, we have:
\[ 15,240,000 = 1.524 \times 10^7 \]

4. **Final standard form**: The standard form of 15,240,000 is:
\[ 1.524 \times 10^7 \]