91Ó°ÊÓ

Multiplication is one of the fundamental arithmetic operations. It involves combining equal groups of numbers. For this exercise, we start by multiplying the numerator terms. The numerator in our problem is composed of two values: 0.003 and 40,000.
When multiplying these values, we perform the operation:
\[0.003 \times 40,000 = 120\]
This means 0.003 groups of 40,000 amount to a total of 120. Remember, the multiplication of decimals follows the same rules as multiplication of whole numbers, but you just need to account for where the decimal point goes.

Here's a tip: Ignore the decimal point initially, multiply the numbers as if they're whole numbers, and place the decimal point back in the final answer. Thus, for 0.003 (three decimal places) and 40,000 (no decimal places), the product should have three decimal places moved.
However, 0.003 * 40,000 is large enough that it becomes 120.

Division is splitting a number into equal parts or groups. It is the inverse operation of multiplication. In our next step, we need to divide the result from our multiplication by the denominator.
Given our previous result is 120 and the denominator is 0.00012, we perform the division:
\[\frac{120}{0.00012}\]
When dividing by a decimal, it's helpful to think in terms of moving the decimal point to the right to turn the denominator into a whole number.

So, for 120 ÷ 0.00012, where the denominator has five decimal places, we'd move the decimal point five places to the right in both numbers:
\[ 120 \div 0.00012 = 120,000,000 \div 12 = 1,000,000\]
This conversion simplifies our division to 1,000,000.
Always ensure you handle decimals carefully while dividing to avoid misplacement of the decimal point.

Expressing numbers in standard notation means writing them in the regular decimal form instead of scientific notation. Standard notation is the most familiar way of writing numbers and helps avoid confusion.
In this solution, we start with the problem written in standard notation. As we perform our arithmetic calculations, we maintain this format throughout.
After our calculations, we obtain 1,000,000, which is in standard notation.
Ensure all results are in this standard format unless instructed otherwise. Maintaining this notation helps with clarity and understanding across different math problems and solutions.