Write each of the following in scientific notation: f. 670 000

Scientific notation is a method of expressing numbers that are too large or too small in a compact form. It is written as the product of a number between 1 and 10 and a power of ten. For example, the number 670,000 can be expressed as 6.7 x 10^5, where 6.7 is the coefficient and 5 is the exponent.

Place value refers to the value of a digit based on its position within a number. In the number 670,000, the digit '6' is in the hundred-thousands place, '7' is in the ten-thousands place, and the remaining zeros indicate the absence of values in the lower places. Understanding place value is essential for converting standard numbers into scientific notation.

Exponent rules are mathematical principles that govern the operations involving powers of ten. When converting to scientific notation, the exponent indicates how many places the decimal point has moved. For instance, moving the decimal point five places to the left in 670,000 results in an exponent of 5, reflecting the original number's magnitude.