Rounding Significant Figures Examples with Answers

Rounding significant figures examples with answers :- In accordance with rounding, the essential idea of substantial figures is frequently utilized. As it can be extended to some type of number, regardless of how large or small it is, the rounding method to a significant amount is also used. This has been rounded up to one significant figure as a newspaper claims a lottery winner has won £ 3 million. The most critical figure in the number is rounded off.

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A more general-purpose method than rounding to n decimal places is rounding to significant figures, since it treats numbers in different scales in a uniform manner. For instance, the number of inhabitants in a city may just be known to the closest thousand and be expressed as 52,000, while the number of inhabitants in a nation may just be known to the closest million and be expressed as 52,000,000.

The previous may be in error by hundreds, and the latter might be in error by hundreds of thousands, yet both have two significant figures (5 and 2). This illustrates the fact that, due to the size of the quantity being measured, the significance of the error is the same in both cases.

How many significant figures do you need to round to?

Sometimes, when working with numbers in the real-world, don’t have to know the precise answer however only an approximation.

Rounding up to 1 significant figure will give you a rough approximation of what the result is.

Rounding up to 2 significant figures would give you a fair approximation of your answer, and for most quantities where you do not have to be accurate, it is generally applicable.

Rounding up to 3 significant figures would give you a very close approximation of your answer and that is generally the most accurate you need to be for daily workouts.

In the event that the figures turns out to be more than 5 after the desired number of significant figures, the preceding significant figure is raised by one, 5,318 is rounded off to 5,32.

In the event that the figures turns out to be smaller than 5, it is overlooked and the preceding significant figure stays unchanged, 4.312 would be rounded up to 4.31.

If the digit turns out to be 5, the last relevant number listed or preceding it is only increased by one just on the off chance that it turns out to be odd. The preceding digit remains unaltered in the case of even digits. 8.375 is rounded off to 8.38 and 8.365 to 8.36.

What are the some examples of how to count significant digit?

1) There are six significant digits in 3.14159. In other words, all numerals (“digits”) enable us with useful information.

2) There are two significant digits in 0.00035: just the 3 and 5 tell us something; the other zeros are placeholders, just giving data about relative size.

3) There are four significant digits in 1006: 1 and 6 are intriguing, and on the grounds that zero are below the two interesting numbers, we must count the zeroes.

4) There are two significant digits in 560: the last zero is only a placeholder.

5) 560.0 has four important digits: the zero in the tenth place places implies that the measurement has been made accurate in the tenth place and that there are incidentally turn out to be zero tenths; the 5 and 6 provide valuable details and the other zero is between significant digits and thus subsequently likewise be counted.

What are some Rounding Significant Figures Examples with Answers?

1) Round 0.003674 km one significant figure. There are four significant figures in 0.003674. To round it off to 1 significant figure, after the decimal point we round it off to 3 places.

Thus, 0.003674 = 0.004 when corrected to one significant figure.

2) Round 1.0718 mg to two significant figures. There are five significant figures in 1.0718. To round it off to 2 significant figures, after the decimal point we round it off to 1ˢᵗ decimal place.

Thus, 1.0718 = 1.1 when corrected to two significant figures.

3) Round 30.002 to three significant figures. There are five significant figures in 30.002. To round it off to 3 significant figures, after the decimal point, we round it off to 1 decimal place.

Thus, 30.002 = 30.0 when corrected to three significant figures.

4) Round 1273.866 kg to six significant figures. There are six significant figures in 1273.866. To round it off to 6 significant figures, after the decimal point we round it off to 2 decimal place.

Thus, 1273.866 = 1273.87 when corrected to six significant figures.

5) Round 203.102 g to four significant figures. There are six significant figures in 203.102. To round it off to 4 significant figures, after the decimal point we round it off to 1ˢᵗ decimal place

Thus, 203.102 = 203.1 when corrected to four significant figures.

6) Round 3.0025 to four significant figures. There are five significant figures in 3.0025. To round it off to 4 significant figures, after the decimal point we round it off to 3rd decimal place.

Thus, 3.0025= 3.002 when corrected to four significant figures.

7) Round 0.07284 to two significant figures. There are four significant figures in 0.07284. To round it off to 2 significant figures, after the decimal point we require to round it- off to 4th decimal place.

Thus, 0.07284 = 0.073 when corrected to two significant figures.

8)Round 0.0001366 to threesignificant figures. There are four significant figures in 0.0001366. To round it off to three significant figures, after the decimal point we require to round it off to 6 decimal places.

Thus, 0.0001366 = 0.000137 when corrected to three significant figures.

9)Round 4.3062 to threesignificant figures. There are five significant figures in 4.3062. To round it off to three significant figures after the decimal point we round it off to the 2ⁿᵈ place.

Thus, 4.3062 = 4.31 when corrected to three significant figures.

10) Round 5.00025 to five significant figures. There are six significant figures in 5.00025. To round it off to 5 significant figures, after the decimal point we round it off to 4th decimal place.

Thus, 5.00025= 5.0002 when corrected to four significant figures.

 

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