Answer:
see attached
Step-by-step explanation:
You want to fill in the blanks to complete the description of writing a number in scientific notation.
Scientific notation
A number written in scientific notation can be described as a coefficient times a power of ten (2nd attachment). Different terminology is used by different authors to describe these parts.
Sometimes the entire coefficient is also called the "mantissa." Sometimes, the term "mantissa" is used to refer to the fractional part of the coefficient, the digits to the right of the decimal point. Your curriculum calls the coefficient the "first factor."
The power of ten is chosen so that the first factor is always a number greater than or equal to 1, but less than 10.
The power of 10 has an exponent, also called the "characteristic". Your curriculum calls the combination of base (10) and exponent the "second factor." The exponent is equal to the exponent of the place value multiplier of the most-significant digit when the number is written in standard form (3rd attachment).
Description
The filled-in description is shown in the first attachment. You will notice that its wording helps you fill in the blanks. It asks you how many parts there are to the number, then refers to them as the "first part" and the "second part." It asks you what the parts are called, then refers to the first one as the "first factor."
The given example in scientific notation is ...
[tex]2.54\times10^6[/tex]
The exponent of 6 corresponds to the 6 little left-arrows in the figure in your problem statement. It is the power of 10 that represents "millions," the place-value multiplier of the most-significant digit of the number two million five hundred forty thousand.
