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Q: How is retention of significant figures in addition and subtraction?
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How do you do significant figures when more than one operation is involved?

It depends on the operation - for multiplication, the ammount of significant figures is the same as the multiple that has the least. Same for division. For subtraction and addition, the significant figures are decided by the least ammount of spaces past the decimal in the answer. For example, 30.7+2.111111111 would be 30.8


Rules in determining significant figures in four fundamental operations?

The simple rule is: no more significant figures than the least accurate of the values in the computation. For multiplication and division, the result should have as many significant figures as the measured number with the smallest number of significant figures. For addition and subtraction, the result should have as many decimal places as the measured number with the smallest number of decimal places. (Rounding off can be tricky, but that would be another thread)


How do significant figures come about?

The rules for identifying significant figures when writing or interpreting numbers are as follows: All non-zero digits are considered significant. For example, 91 has two significant figures (9 and 1), while 123.45 has five significant figures (1, 2, 3, 4 and 5). Zeros appearing anywhere between two non-zero digits are significant. Example: 101.1203 has seven significant figures: 1, 0, 1, 1, 2, 0 and 3. Leading zeros are not significant. For example, 0.00052 has two significant figures: 5 and 2. Trailing zeros in a number containing a decimal point are significant. For example, 12.2300 has six significant figures: 1, 2, 2, 3, 0 and 0. The number 0.000122300 still has only six significant figures (the zeros before the 1 are not significant). In addition, 120.00 has five significant figures since it has three trailing zeros.


How do you determine Significant figures?

The rules for identifying significant figures when writing or interpreting numbers are as follows: All non-zero digits are considered significant. For example, 91 has two significant figures (9 and 1), while 123.45 has five significant figures (1, 2, 3, 4 and 5). Zeros appearing anywhere between two non-zero digits are significant. Example: 101.1203 has seven significant figures: 1, 0, 1, 1, 2, 0 and 3. Leading zeros are not significant. For example, 0.00052 has two significant figures: 5 and 2. Trailing zeros in a number containing a decimal point are significant. For example, 12.2300 has six significant figures: 1, 2, 2, 3, 0 and 0. The number 0.000122300 still has only six significant figures (the zeros before the 1 are not significant). In addition, 120.00 has five significant figures since it has three trailing zeros.


How are significant figures counted?

The rules for identifying significant figures when writing or interpreting numbers are as follows: All non-zero digits are considered significant. For example, 91 has two significant figures (9 and 1), while 123.45 has five significant figures (1, 2, 3, 4 and 5). Zeros appearing anywhere between two non-zero digits are significant. Example: 101.1203 has seven significant figures: 1, 0, 1, 1, 2, 0 and 3. Leading zeros are not significant. For example, 0.00052 has two significant figures: 5 and 2. Trailing zeros in a number containing a decimal point are significant. For example, 12.2300 has six significant figures: 1, 2, 2, 3, 0 and 0. The number 0.000122300 still has only six significant figures (the zeros before the 1 are not significant). In addition, 120.00 has five significant figures since it has three trailing zeros.

Related questions

What is the rule you use to determine the number of significant figures in the results of addition and subtraction?

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.


What are the values in determining the number of significant figures involving the four mathematical operations?

addition multiplication division subtraction


List some rules used to determine the number of significant figures and how they differ for addition and subtraction vs multiplication and division?

For multiplication/division, use the least number of significant figures (ie 6.24 * 2.0 = 12). For addition subtraction, use the least specific number (ie 28.24 - 2.1 = 26.1)


When finding significant figures for multiplication and division problems you go by the least number of?

significant figures in the original numbers used in the calculation. This means the final answer should be rounded to the same number of significant figures as the number with the least amount of significant figures.


How do you do significant figures when more than one operation is involved?

It depends on the operation - for multiplication, the ammount of significant figures is the same as the multiple that has the least. Same for division. For subtraction and addition, the significant figures are decided by the least ammount of spaces past the decimal in the answer. For example, 30.7+2.111111111 would be 30.8


When you add or subtract what is the rule for determining the number of significant figures in the answer?

When adding or subtracting numbers, the result should have the same number of decimal places as the least number of decimal places in the original numbers. This is because in these operations, you are limited by the least precise measurement. Significance figures don't matter in addition or subtraction, only decimal places.


How many significant figures will there be in the answer to the following problem 66.322 - 13.7455?

52.5765


Rules on addition and subtraction of significant figures?

When adding or subtracting numbers, the answer should have the same number of decimal places as the measurement with the fewest decimal places. The final answer should be rounded to the least number of decimal places among the numbers used in the calculation. Only the decimal portion of the number is considered when determining significant figures for addition and subtraction.


How many significant figures are in 8.8462 - 3.745?

5.1011999999999995


Rules in determining significant figures in four fundamental operations?

The simple rule is: no more significant figures than the least accurate of the values in the computation. For multiplication and division, the result should have as many significant figures as the measured number with the smallest number of significant figures. For addition and subtraction, the result should have as many decimal places as the measured number with the smallest number of decimal places. (Rounding off can be tricky, but that would be another thread)


How many significant figures would the sum of 0.582and 324.6 have?

4, for addition and subtraction you add or subtract the numbers and round to the smallest digit of the number that is less specific. In this case the 6 in 324.6.


How many significant figures will the answer to the calculation 65.25 37.4 have?

Three. There are no leading or trailing zeroes.