To determine the value of [tex]\(12.5 \times 10^7\)[/tex], let's go through the steps to solve this problem:
1. Understand the Expression: [tex]\(12.5 \times 10^7\)[/tex] means we need to multiply 12.5 by [tex]\(10^7\)[/tex].
2. Exponentiation: [tex]\(10^7\)[/tex] signifies 10 raised to the power of 7, which means 1 followed by 7 zeros. This is equal to [tex]\(10,000,000\)[/tex].
3. Multiplication: Now we need to multiply 12.5 by 10,000,000.
[tex]\[
12.5 \times 10,000,000
\][/tex]
4. Perform Multiplication:
- Position the decimal point in 12.5 so that it becomes 125.
- Multiply 125 by 10,000,000, having moved the decimal point one place to the right on 12.5 equates to multiplying 125 by 10^6 or 1,000,000.
Therefore:
[tex]\[
12.5 \times 10,000,000 = 125,000,000
\][/tex]
Thus, the value of [tex]\(12.5 \times 10^7\)[/tex] is [tex]\(125,000,000\)[/tex].
Correct Answer: A. [tex]\(125,000,000\)[/tex]
