Final answer:
The division of −163.5 by 1.5 is −109, and rounded to three significant figures, the answer remains −109. This demonstrates the use of significant figures to maintain accuracy in mathematical calculations.
Step-by-step explanation:
The question is asking to calculate the result of dividing −163.5 by 1.5. To provide the answer with proper significant figures, first perform the division:
−163.5 ÷ 1.5 = −109
Since the calculator might give a more precise answer, such as 1,125, we must round it to three significant figures. Thus, the result is −109, which is already in three significant figures. Significant figures are an important concept in mathematics, ensuring that the precision of our answers aligns with the precision of the numbers we are working with.
Remember that when adding numbers like in the example '1.005 + 17.88', the result should also maintain the correct number of significant figures by rounding if necessary. Similarly, using significant figures in other scenarios, such as measuring statistical data or graphing functions, is crucial for accuracy in mathematics.