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Chapter 1: Q3. (page 17)

Why is it incorrect to think that the more digits you include in your answer, the more accurate it is?

Short Answer

Expert verified

Adding more digits to an answer does not increase its accuracy.

Step by step solution

01

Step 1. Disadvantage of adding more digits in the answer

Including too many digits in the answer does not increase its accuracy. The accuracy of the answer only depends on the physical measurement on which it is based.

Adding many digits requires greater accuracy, which may not be possible with the given measurements.

02

Step 2. Examples of problems with more digits in the answer

Consider a rectangle of length 1.25 cm and breadth 1.1 cm. The area of this rectangle is 1.375 cm2.

The scale on which the area is measured is accurate only up to 0.1 cm2. Therefore, in this case, the answer will be 1.4 cm2, and adding more digits will not make it more accurate.

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Most popular questions from this chapter

Global positioning satellites (GPS) can be used to determine your position with great accuracy. If one of the satellites is 20,000 km from you, and you want to know your position to卤2m, what percent uncertainty in the distance is required? How many significant figures are needed in the distance?

I agree to hire you for 30 days. You can decide between two methods of payments: either (1) $1000 a day, or (2) one penny on the first day, two pennies on the second day, and continue to double your daily pay each day up to day 30. Use quick estimation to make your decision, and justify it.

What is the area and its approximate uncertainty of a circle of the radius of3.1脳104cm?

Four students use different instruments to measure the length of the same pen. Which measurement implies the greatest precision?

(a) 160.0 mm

(b) 16.0 cm

(c) 0.160 m

(d) 0.00016 km

(e) Need more information

Write out the following numbers in full with the correct number of zeros: (a)8.69脳104, (b)9.1脳103, (c)8.8脳10-1, (d)4.76脳102, and (e)3.62脳10-5.
See all solutions

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