HW
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Re: HW
7.000 has 4 sigfigs because all nonzero numbers are significant and all trailing zeros to the right of the decimal are significant as well.
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Re: HW
Yes, I believe 7.000 has 4 sig figs because although they are "trailing zeros", there is a decimal point present, which makes them all sig figs.
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Re: HW
Zeroes confused me the most for sig figs but it's a bit simpler if you remember these two:
1.If a number has a decimal, any trailing zeroes are significant (since we're technically measuring up to those trailing decimal places).
For example 100. has 3 sig figs but 100 has 1 sig fig since 100. can be rewritten as 1.00 * 10^2, which has 3 sig figs.
(Without a decimal, trailing zeroes aren't significant)
2. If the number is less than 1, zeroes that come directly after the decimal point and before any nonzero numbers are not significant.
0.0001 has 1 sig fig, while 0.000100 has 3 sig figs (the last three digits are sig figs).
1.If a number has a decimal, any trailing zeroes are significant (since we're technically measuring up to those trailing decimal places).
For example 100. has 3 sig figs but 100 has 1 sig fig since 100. can be rewritten as 1.00 * 10^2, which has 3 sig figs.
(Without a decimal, trailing zeroes aren't significant)
2. If the number is less than 1, zeroes that come directly after the decimal point and before any nonzero numbers are not significant.
0.0001 has 1 sig fig, while 0.000100 has 3 sig figs (the last three digits are sig figs).
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Re: HW
It has 4 sig figs. This is because there is a decimal point, which means that al the trailing zeros are significant. So, 7.000 has 4 sig figs (since there is a decimal), while 7000 only has 1 sig figs. Similarly, 7000. has 4 sig figs since there is a decimal point, which means the trailing zeros are significant.
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Re: HW
four significant figures
7 . 000
1 234
the zeroes count because you took the time to measure out to the thousandths place
7 . 000
1 234
the zeroes count because you took the time to measure out to the thousandths place
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Re: HW
It would have 4 significant figures. One way to indicate if 0 is a significant figure is by looking for a decimal point. For example, 70. would have 2 significant figures because there is an integer that is not zero in the front and a decimal point after it. And for numbers like 7.000, it would have 4 sig figs because the zeroes come AFTER the decimal point. Be careful with the decimal rule because leading zeroes, like 0.007 for example, would only have 1 significant figure because the zeroes come BEFORE the integer. The same is true if the number does NOT have a decimal point, such as 7000, which would only have one sig fig. I hope this clears it up!
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Re: HW
It took a bit of a refresher of significant figures for me to remember all of the rules but the easiest way to put it is as follows. 7.000 starts with a non zero number which gives you 1 significant figure right off the bat (Sig Fig rules states that all non zeroes are significant). Next you have a decimal point followed by three zeroes. If the decimal had been absent the three trailing zeroes would not be considered significant figures. However because of the decimal put in place the trailing zeroes become significant to the placement of the value. With the value 7.000 there are 4 significant figures total because of the rule stating trailing zeroes following a decimal point are significant.
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