## 0's

Matlynn Giles 2E
Posts: 104
Joined: Wed Sep 30, 2020 10:10 pm
Been upvoted: 1 time

### 0's

Do the 0's following the decimal place count as SigFigs? For example the 2 0's after the decimal in 20.00.

Crystal Yu 1D
Posts: 171
Joined: Wed Sep 30, 2020 9:58 pm
Been upvoted: 12 times

### Re: 0's

Yes, 20.00 has 4 sig figs.

Posts: 56
Joined: Wed Sep 30, 2020 9:48 pm

### Re: 0's

Yes, the significant figures do count because there is a decimal. However, if there was not a decimal and it was only 20, there would be one significant figure instead.

OwenSumter_2F
Posts: 102
Joined: Wed Sep 30, 2020 9:57 pm
Been upvoted: 2 times

### Re: 0's

To provide a bit of reasoning why, sig figs are used to show how certain you are of a certain number. So if a certain number i.e. 20 has two zeroes after the decimal place, it means you are certain that it is 20.00 up to those two decimal places. Rather than if you only had 20, you would be certain only rounding to 20.

505352202
Posts: 60
Joined: Wed Sep 30, 2020 10:06 pm
Been upvoted: 1 time

### Re: 0's

So if we wanted to write 20.00 in scientific notation taking into account sig figs would it be 2.000 x 10^1? I thought trailing zeros were not significant

Posts: 173
Joined: Wed Sep 30, 2020 9:32 pm
Been upvoted: 5 times

### Re: 0's

Trailing zeros are not significant when there is no decimal point. For example, 200 would only have 1 sig fig because the trailing zeros are insignificant. However, since 2.000 x 10^1 has a decimal point, the zeros are significant. This is because 200 could be a rounded number or there is some other reason (maybe while taking measurements) that the number could not be found to more significant figures. However, a number such as 200. means that exactly 200 was measured. Similarly, in 2.000 x 10^1, the zeros at the end indicate that the measurement was found to the accuracy of 4 significant figures. That is why when there is a decimal, the zeros that follow are included when counting significant figures.

rita_debbaneh2G
Posts: 103
Joined: Wed Sep 30, 2020 9:57 pm

### Re: 0's

When it comes to zeroes and decimals, all zeroes after a decimal point are significant. For example: 17.00. Also, when there are zeroes before a decimal point, they can be significant as long as they're "trailing" or the last kind of number in the value. For example: 170.00

Bai Rong Lin 2K
Posts: 101
Joined: Wed Sep 30, 2020 9:54 pm

### Re: 0's

Matlynn Giles 1A wrote:Do the 0's following the decimal place count as SigFigs? For example the 2 0's after the decimal in 20.00.

Yes it does, in this case it would have 4 sig figs

George Hernandez 3I
Posts: 100
Joined: Wed Sep 30, 2020 9:52 pm

### Re: 0's

Trailing zeroes are not significant unless there is a decimal place. Otherwise, yes they are.

TiffanyBrownfield 2I
Posts: 94
Joined: Wed Sep 30, 2020 9:42 pm

### Re: 0's

Yes, the decimal signifies that the 0's are part of a precise measurement, that is, they had a tool of measurement that could measure accurately to that extent. Without the decimal point, we don't whether it's actually accurate or if it was simply rounded for conveniency.

Lillian
Posts: 105
Joined: Wed Sep 30, 2020 9:48 pm

### Re: 0's

Would the middle zeros have significance? like in 202.

Shalyn Kelly 3H
Posts: 98
Joined: Wed Sep 30, 2020 9:55 pm

### Re: 0's

In response to Lillian's question, I believe they would be counted because the "outer" numbers (2 & 2 in this case) enact the sigfig rules. So, if you have 9,104 you'd have four sig figs.

simona_krasnegor_1C
Posts: 50
Joined: Wed Sep 30, 2020 9:35 pm

### Re: 0's

In response to Lillian, "inner-zeros" are indeed counted for sig figs.

tholz11
Posts: 111
Joined: Wed Sep 30, 2020 9:38 pm

### Re: 0's

Yes, the zeros "shown" after the decimal would count. i.e. 20.00 would have 4 sig figs (-:

Michelle Nguyen 3F
Posts: 105
Joined: Wed Sep 30, 2020 10:03 pm

### Re: 0's

Trailing zeros after a decimal place count! 20.00 would count as 4 sig figs, but if there was no decimal place like 200, it would only be 1 sig fig

Simi Kapila_3E
Posts: 100
Joined: Wed Sep 30, 2020 9:40 pm
Been upvoted: 1 time

### Re: 0's

Yes they do count, you have 4 sig figs since the 0's come after the decimal place.

DPatel_2L
Posts: 100
Joined: Wed Sep 30, 2020 9:41 pm

### Re: 0's

Yes it would have 4 sig figs in this case.

Morgan Gee 3B
Posts: 100
Joined: Wed Sep 30, 2020 9:48 pm

### Re: 0's

Any zero after decimal points are counted as a significant figure.

jasonfarrales3D
Posts: 104
Joined: Wed Sep 30, 2020 9:55 pm

### Re: 0's

If a decimal point appears in a number, then all of the zeros in that number are included in its total amount of sig figs. For example, 2000000 would only have 1 sig fig because the number contains no decimal point, while 20.00000 would have seven total sig figs since there is a decimal point.

alexandralopez 3F
Posts: 100
Joined: Wed Sep 30, 2020 10:11 pm

### Re: 0's

yes they are counted aftert the decimal

Dane_Beasley_1E
Posts: 74
Joined: Wed Sep 30, 2020 9:42 pm

### Re: 0's

When there is a decimal point the trailing points are counted. Therefore, 20.00 has 4 SigFigs.

Mehreen 3I
Posts: 100
Joined: Wed Sep 30, 2020 9:36 pm

### Re: 0's

Yes, since it is after the decimal it counts as a sig fig.