Final answer:
In mathematics, when adding or subtracting decimal numbers, round to the same number of decimal places as the number with the fewest decimal places. When multiplying or dividing decimal numbers, round to the same number of significant figures as the number with the fewest significant figures. Intermediate answers should be carried with as many digits as possible to the next calculation step.
Step-by-step explanation:
When performing mathematical operations, it is important to follow certain rules for rounding off decimal numbers. In addition and subtraction, the result should have the same number of decimal places as the number with the fewest decimal places in the original numbers. For example, if you add 13.2 and 12.252, the answer should be rounded to one decimal place, resulting in 25.5.
On the other hand, when multiplying and dividing, the result should have the same number of significant figures as the number with the fewest significant figures in the original numbers. For instance, if you multiply 1.35 and 2.1, the answer should be rounded to two significant figures, resulting in 2.8.
It is important to note that rounding off should be done at the end of all calculations to ensure accuracy. Intermediate answers should be carried with as many digits as possible to the next calculation step.