Introduction to significant figures converter:
From the clarifications of significant figures in sum and value is a figure of rounding. They represent the number of digits in a number, opening at the first non-zero figure and including any straggling zeros. For example, 0.001234567 has 7 significant figures. All 7 of individual digits are significant, if somebody were measuring a distance, volume, time period and they integrated all those statistics as well as that final zero. To facilitate figure 23.698 inches have 5 significant figures. But, it should be rounded to 3 significant figures, 23.7 to hold measuring errors.
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Formulations and Conditions of Significant Figures Converter:
Condition 1:
While adding or subtracting is to be carry out in the figures having diverse precisions, the closing result ought to be reported up-to the matching number of decimal spaces as are present in the term having the least quantity of decimal places.
Adding of figures
In the addition of 56.2 + 5.62 + 0.562, all the three figures have 3 adding significant figures, but 56.2 have the least figure of decimal place, namely 1. The reply is consequently limited to 1 decimal position.
Subtraction of figures
The subtraction of figures is passed out in the identical way as adding. In the variation of 3.2767 and 3.2744 the response (0.0023) has 4 decimal places. The figures have 5 significant figures but the reply has only 2 significant figures.
Condition 2:
For the multiplication or division of figures, the closing result ought to be reported up to the similar figure of significant figures as are near in the term with the slightest number of significant figures.
Multiplication of figures
In the multiplication of 4.6068 (5 significant figures) with 3.20 (3 significant figures) the significance is 14.74176, but the exact response is 14.74.
Division of figures
In the division of 6.6765 (5 significant figures) by 2.25 (3 significant figures) the result is 2.96733 but the exact response is 2.967.
Example Problems for Significant Figures Converter:
Example 1:
Shape the number of significant figures in each of the following conversion
(i) 456.01 (ii) 0.00675 (iii) 7896 (iv) 6.987 x 104 (v) 0.765
Solution:
(i) 456.01 have 5 significant figures.
(ii) 0.00675 have 3 significant figures.
(iii) 7896 have 4 significant figures.
(iv) 6.987 x 104 have 4 significant figures.
(v) 0.765 have 3 significant figures.
Example 2:
Express 0.00000864 in scientific notation and calculate the number of significant figures.
Solution:
0.00000864 can be expressed in scientific notation as = 3.45 x 105.
The significant figures are 3.
Example 3:
State the consequences of the following calculations to the suitable digit of significant figures.
1. `((4.86) xx (0.06333)) / (3.008)` 2. `((2.34xx10^-4)xx(0.3)) / (4.6)`
Solution:
1. `((4.86) xx (0.06333)) / (3.008)`
= 0.102322
= 0.102
The digit of significant figures in the term 4.86 is 3, therefore the product should have 3 significant figures. Therefore, the correct answer is 0.102. The digit after zero is 6 and therefore it is rounded off to 1.
2. `((2.34xx10^-4)xx(0.3)) / (4.6)`
= 1.52608 x 10-5
= 1.5 x 10-5
The response ought to have 2 significant figures because 4.6 have 2 significant figures.
Example 4:
Calculate to proper significant figures:
1. `14.6 xx 10.4` 2. `182.6/12`
Solution:
1.` 14.6 xx 10.4 `
= `151.84`
Exact answer = 151 (up to 3 significant figures)
2.`182.6/12 = 15.2166`
Exact answer = 15 (up to 2 significant figures)
From the clarifications of significant figures in sum and value is a figure of rounding. They represent the number of digits in a number, opening at the first non-zero figure and including any straggling zeros. For example, 0.001234567 has 7 significant figures. All 7 of individual digits are significant, if somebody were measuring a distance, volume, time period and they integrated all those statistics as well as that final zero. To facilitate figure 23.698 inches have 5 significant figures. But, it should be rounded to 3 significant figures, 23.7 to hold measuring errors.
My forthcoming post is on algebra math solver, math word problem help will give you more understanding about Algebra.
Formulations and Conditions of Significant Figures Converter:
Condition 1:
While adding or subtracting is to be carry out in the figures having diverse precisions, the closing result ought to be reported up-to the matching number of decimal spaces as are present in the term having the least quantity of decimal places.
Adding of figures
In the addition of 56.2 + 5.62 + 0.562, all the three figures have 3 adding significant figures, but 56.2 have the least figure of decimal place, namely 1. The reply is consequently limited to 1 decimal position.
Subtraction of figures
The subtraction of figures is passed out in the identical way as adding. In the variation of 3.2767 and 3.2744 the response (0.0023) has 4 decimal places. The figures have 5 significant figures but the reply has only 2 significant figures.
Condition 2:
For the multiplication or division of figures, the closing result ought to be reported up to the similar figure of significant figures as are near in the term with the slightest number of significant figures.
Multiplication of figures
In the multiplication of 4.6068 (5 significant figures) with 3.20 (3 significant figures) the significance is 14.74176, but the exact response is 14.74.
Division of figures
In the division of 6.6765 (5 significant figures) by 2.25 (3 significant figures) the result is 2.96733 but the exact response is 2.967.
Example Problems for Significant Figures Converter:
Example 1:
Shape the number of significant figures in each of the following conversion
(i) 456.01 (ii) 0.00675 (iii) 7896 (iv) 6.987 x 104 (v) 0.765
Solution:
(i) 456.01 have 5 significant figures.
(ii) 0.00675 have 3 significant figures.
(iii) 7896 have 4 significant figures.
(iv) 6.987 x 104 have 4 significant figures.
(v) 0.765 have 3 significant figures.
Example 2:
Express 0.00000864 in scientific notation and calculate the number of significant figures.
Solution:
0.00000864 can be expressed in scientific notation as = 3.45 x 105.
The significant figures are 3.
Example 3:
State the consequences of the following calculations to the suitable digit of significant figures.
1. `((4.86) xx (0.06333)) / (3.008)` 2. `((2.34xx10^-4)xx(0.3)) / (4.6)`
Solution:
1. `((4.86) xx (0.06333)) / (3.008)`
= 0.102322
= 0.102
The digit of significant figures in the term 4.86 is 3, therefore the product should have 3 significant figures. Therefore, the correct answer is 0.102. The digit after zero is 6 and therefore it is rounded off to 1.
2. `((2.34xx10^-4)xx(0.3)) / (4.6)`
= 1.52608 x 10-5
= 1.5 x 10-5
The response ought to have 2 significant figures because 4.6 have 2 significant figures.
Example 4:
Calculate to proper significant figures:
1. `14.6 xx 10.4` 2. `182.6/12`
Solution:
1.` 14.6 xx 10.4 `
= `151.84`
Exact answer = 151 (up to 3 significant figures)
2.`182.6/12 = 15.2166`
Exact answer = 15 (up to 2 significant figures)
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