Final answer:
To divide 1.404 by 0.45, we multiply both numbers by 100 to make 0.45 a whole number (45), which gives us 140.4 divided by 45, resulting in an answer of approximately 3.12.
Step-by-step explanation:
To show the work for 1.404 divided by 0.45, we need to follow a few steps and understand how division by a decimal works. First, it's helpful to simplify the process by converting the division of decimals into a simpler division of whole numbers. To do this, we can move the decimal point in both the numerator (1.404) and the denominator (0.45) the same number of places to the right until the denominator is a whole number. Since the denominator 0.45 has two decimal places, we multiply both numbers by 100 (equivalent to moving the decimal point two places to the right).
1.404 × 100 = 140.4
0.45 × 100 = 45
Now we can divide the whole numbers: 140.4 divided by 45. When we do this division, we get an answer of approximately 3.12. We can add another decimal place to this answer to validate it: 3.120.