Final answer:
The first step in writing a subtraction algorithm is to identify and distinguish the larger and smaller values. Subtraction follows from right to left, and significant figures determine the rounding of the final result.
Step-by-step explanation:
Writing an Algorithm for Subtraction
To write an algorithm that subtracts a smaller number from a larger number, the first step should involve identifying the two numbers you want to subtract and ensuring that you have accurately distinguished which is the larger number and which is the smaller one. Once you have identified the numbers, the larger number will be the minuend (the number from which you'll subtract) and the smaller number the subtrahend (the number that will be subtracted).
The second step of your algorithm should include the actual subtraction process. If working manually or algorithmically, the subtraction is done from right to left, borrowing from the next left digit as needed. If using a TI-83+ or TI-84 calculator, you can input the two values into separate lists and perform list-wise subtraction to obtain the result.
Finally, pay attention to significant figures and rounding conventions. For example, if you’re dealing with measurements like 78,500 m and 362 m, and if the first value is only accurate to the nearest hundred due to the significant figure being 5 (hundreds place), after subtraction, you should round your result to the nearest hundred as well.
The understanding of when and how to round is crucial: the result should be rounded to the same number of decimal places as the number with the least number of decimal places. This is the least certain value concerning addition and subtraction, which also plays a significant role when operating with moments when significant figures are crucial, such as scientific measurements.