Final answer:
The statement that the exponent of the denominator is subtracted from the exponent of the numerator when dividing numbers in scientific notation is true.
Step-by-step explanation:
The statement is true. When you divide two numbers written in scientific notation, the exponent of the denominator is indeed subtracted from the exponent of the numerator. This is how division of exponential terms is handled in mathematics. For example, when dividing 4.5 × 109 by 1.0 × 103, we divide the 4.5 by 1.0 to get 4.5 and then subtract the exponent of the denominator (3) from the exponent of the numerator (9), leaving us with 106, which gives a result of 4.5 × 106. It's important to remember that negative exponents are treated the same way in arithmetic; for instance, if we had to subtract -2 from 6, it would equal 4.