Verified Answer :
The correct answer is:
\(1.25\times 10^{13}\)
Explanation:
First we must determine where the trillions place is in place value. The first group of 3 digits is thousands; the second group of 3 is the millions; the third group of 3 is the billions; and the 4th group of 3 is the trillions. This means that 1 trillion would be a 1 with 12 zeros following it.
This means that 12 trillion would be 12 with 12 zeros following it. The "half" would be a 5 immediately after the 12, which would give us
12,500,000,000,000
Scientific notation requires 1 non-zero digit in front of the decimal. This means we would have 1.25. The exponent of 10 is the number of decimal places we must move the decimal; for this number, that is 13 places. This gives us
\(1.25\times 10^{13}\)
Using scientific notation, it is found that twelve and a half trillion is represented by \(1.25 \times 10^{13}\).
Scientific notation:
A number in scientific notation is given by:
\(a \times 10^b, a \in [1, 10)\)
- To realize the conversion from decimal to scientific notation, we keep multiplying or dividing by 10 until it is in the correct format.
Twelve and a half trillion, in decimal, is: \(12,500,000,000,000\).
In scientific notation, first it will be \(a = 1.25\), then considering that there are still 13 places after the dot, we have that \(b = 13\).
Hence, twelve and a half trillion is represented by \(1.25 \times 10^{13}\).
To learn more about scientific notation, you can take a look at https://brainly.com/question/16394306