Math Problem Solver

7. Explain why the product of the means in a proportion equals the product of the extremes.

8. What are significant digits? How can you tell whether zeros are significant?

9. Distinguish between random errors and systematic errors. Give an example of how each type might affect measurements of weight. How can we minimize the effects of random errors? How can we account for the effects of a systematic error?

10. Distinguish between the absolute error and the relative error in a measurement. Give an example in which the absolute error is large but the relative error is small and another example in which the absolute error is small but the relative error is large

11. Distinguish between accuracy and precision. Give an example of a measurement that is precise but inaccurate and another example of a measurement that is accurate but imprecise.

12. Why can it be misleading to give measurements with more precision than is justified by the measurement process?

13. State the rounding rules for adding and subtracting measured numbers and for multiplying and dividing measured numbers. Give examples of their use.

14. Describe the three basic uses of percentages. Give a sample statement that uses percentages in each of the three ways.

15. Distinguish between absolute and relative change. Give an example that illustrates how we calculate a relative change.

16. Distinguish between absolute and relative difference. Give an example that illustrates how we calculate a relative difference.

17. Explain the difference between the key words of and more than when dealing with percentages. How are their meanings related?

18. Explain the difference between the terms percent (%) and percentage points. Give an example of how they can differ for the same situation.

19. Give an example to explain why, in general, it is not legitimate to average percentages.

20. What is Quantitative Reasoning? Write the importance of Quantitative Reasoning