Final answer:
The value of 'num' as a decimal integer depends on its place value, where each digit's value is determined by its position relative to the decimal point. Conversion to scientific notation is used for more compact representation.
Step-by-step explanation:
The place value of a number refers to the value of a digit based on its position relative to the decimal point. In a decimal (base 10) number system, the digit to the immediate left of the decimal point represents the ones place, the next to the left the tens place, then the hundreds, and so on. Conversely, digits to the right of the decimal point represent tenths, hundredths, thousandths, etc. When converting numbers, such as converting 0.0479 to a number between 1 and 10, the decimal point is moved to the right to give 4.79, and it is expressed in scientific notation as 4.79 x 10-2 to keep track of how the number has been adjusted. The 'n' in the expression denotes the number of places the decimal was moved and can be positive or negative in value. This notation is used to represent both large and small numbers in a more compact form.
For example, to convert 965 to scientific notation, we express it as 9.65 x 102, which means we have moved the decimal point two places to the left. This is a common practice when dealing with numbers that are much larger or smaller than what can be conveniently written out in standard decimal form.