To determine the value of [tex]\(12.5 \times 10^7\)[/tex], we will break down and solve the scientific notation step by step.
1. Understand Scientific Notation: Scientific notation expresses numbers as a product of a base number and a power of 10. In our case, the base number is [tex]\(12.5\)[/tex] and the power of 10 is [tex]\(10^7\)[/tex].
2. Convert the Base Number: Let's take the base number [tex]\(12.5\)[/tex].
3. Apply the Power of 10: [tex]\(10^7\)[/tex] means that we need to multiply [tex]\(12.5\)[/tex] by [tex]\(10\)[/tex] seven times, which essentially moves the decimal point 7 places to the right.
4. Move the Decimal Point:
- Start with 12.5
- Move the decimal point 7 places to the right: 12.5000000 (initial position of the decimal point)
- Move 7 places: 1,250,000.0000
As you move the decimal point:
```
12.5
125.0
1250.0
12500.0
125000.0
1250000.0
12500000.0
125000000.0
```
5. Final Value: After moving the decimal point 7 places, we get the value [tex]\(12.5 \times 10^7 = 125,000,000\)[/tex].
So, the value of [tex]\(12.5 \times 10^7\)[/tex] is [tex]\(\boxed{125,000,000}\)[/tex].
The best answer to the question is:
A. [tex]$125,000,000$[/tex]
