To one sig fig, 300 To two sig figs, 310 To three sig figs, 314
two sig figs
To take a number to two significant figures, you first take the greatest non-zero digit, and the one after it. In this case we'd have 1.0 Next you look at the third digit to see if the second digit should be rounded up, in this case the third digit is 0 so we don't round up. Thus the answer is 1.0, or written simply, 1
It is 1000 L, but in that from it is not possible to tell whether the number is rounded to one sig digs or four. Two ways to make the rounding explicit are to write it as1.0*10^3 L, or1.0 kL.
0.156 rounded to two decimal places is 0.16.
To one sig fig, 300 To two sig figs, 310 To three sig figs, 314
1050 rounded to 2 sig figs is 1000, and to 1 sig figs is 1000.
two sig figs
Multiplication and DivisionRound the answer to the same number of significant figures (sig figs) as the measurement with the fewest sig figs in the problem.34.9cm x 4.7cm = 164.03cm2 = 160cm2 (rounded to two sig figs)271.0g/99.8cm3 = 2.71543g/cm3 = 2.715 (rounded to four sig figs)Addition and SubtractionRound the answer to the fewest decimal places as the measurement with the fewest decimal places.9.45kg + 8.329kg = 17.78kg (rounded to two decimal places)
There are two sig figs in 290.
There are two sig figs in 3700000.
There are 3 sig figs becasue when you multiply two numbers you take the same number of sig figs as the multiple with the fewest sig figs. 0.280 and 3.70 both have 3 sig figs.
223.4 has four sig figs. 7.5 has two sig figs.
Two
Two
Determining Number of Significant Figures (Sig Figs)1.All non-zero numbers are significant. 6924 has four sig figs.2.Leading zeros are not significant. 0.0003679 has four sig figs.3.Zeros between other significant figures are significant. 0.00041092 has five sig figs.4.Trailing zeros are significant if there is a decimal. 0.046802000 has eight sig figs.Multiplication and DivisionRound the answer to the same number of significant figures (sig figs) as the measurement with the fewest sig figs in the problem.34.9cm x 4.7cm = 164.03cm2 = 160cm2 (rounded to two sig figs)271.0g/99.8cm3 = 2.71543g/cm3 = 2.715 (rounded to four sig figs)Addition and SubtractionRound the answer to the fewest decimal places as the measurement with the fewest decimal places.9.45kg + 8.329kg = 17.78kg (rounded to two decimal places)Rounding Rules:If the number to be dropped is less than four, keep the number in front the same. 3.43 would be rounded to 3.4 .If the number to be dropped is greater than five, round the number in front up by 1. 3.46 would be rounded to 3.5 .If the number to be dropped is exactly five, keep the number in front the same if it is even. If the number in front is odd, round up by 1.4.65 rounds to 4.6 .4.75 rounds to 4.8 .
Look at the numbers you are multiplying and dividing. Your answer should have the amount of sig figs that the smallest number has. Rules are as followed: .00236 Has three sig figs. The zeros are used for "spacing". (.00200 also has three sig figs.) .236 Has three sig figs. 100 Has one sig fig. 100. Has three sig figs due to the decimal point. 1.00 Has three sig figs. The rules are confusing, but with practice, you should be able to understand them without a problem. I'm sure I have also forgotten to add one or two.