Respuesta :

The correct answer is:

[tex] 1.25\times 10^{13} [/tex]

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

[tex] 1.25\times 10^{13} [/tex]

Using scientific notation, it is found that twelve and a half trillion is represented by [tex]1.25 \times 10^{13}[/tex].

Scientific notation:

A number in scientific notation is given by:

[tex]a \times 10^b, a \in [1, 10)[/tex]

  • 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: [tex]12,500,000,000,000[/tex].

In scientific notation, first it will be [tex]a = 1.25[/tex], then considering that there are still 13 places after the dot, we have that [tex]b = 13[/tex].

Hence, twelve and a half trillion is represented by [tex]1.25 \times 10^{13}[/tex].

To learn more about scientific notation, you can take a look at https://brainly.com/question/16394306