measurement & significant figures
DESCRIPTION
Measurement & Significant Figures. What time is it?. Someone might say: “9:00” or “9:02” or “9:02:22” All of these are appropriate for different situations But why is it we can read so many different times from a clock?. Each time given depends on…. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/1.jpg)
Measurement & Significant Figures
![Page 2: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/2.jpg)
What time is it?Someone might say:
“9:00” or “9:02” or “9:02:22”
All of these are appropriate for different situations
But why is it we can read so many different times
from a clock?
![Page 3: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/3.jpg)
Each time given depends on…
what type of clock a person is reading!
The clock here shows the hours and 5 minute increments.
What time is it on this clock?
10:10:00 10:10
![Page 4: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/4.jpg)
Can we really read seconds from this clock?
This clock has no second hand, so we don’t know if it is 10:10:00 or 10:10:30.
This clock has a limit to what time it can tell.
![Page 5: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/5.jpg)
You’re RIGHT!!!
This clock has no second hand, so we don’t know if it is 10:10:00 or 10:10:30.
This clock has a limit to what time it can tell.
![Page 6: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/6.jpg)
Each time given depends on…
what type of clock a person is reading!
The clock here shows the hours and each minute
increment.
If the minute hand was here,
What time is it?
10:10 10:12
10:12:00
![Page 7: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/7.jpg)
Not Exactly…
This clock has minute increments. So the time
can be read more accurately.
TRYAGAIN!
![Page 8: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/8.jpg)
GREAT!!!!
This clock has minute increments so you can tell
it is exactly on the 12.
But it still doesn’t have a second hand, so we can’t
include seconds in our time.
![Page 9: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/9.jpg)
Not Exactly…
The clock here shows the hours and each minute
increment.
But the clock still does not display time in seconds.
TRY AGAIN!
![Page 10: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/10.jpg)
Each time given depends on…
what type of clock a person is reading!
The clock here shows the hours, minutes, and
seconds.
If the minute hand was here
What time is it?
10:10 10:12
10:12:32
![Page 11: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/11.jpg)
Not Exactly…
This clock has minute increments and a sec hand.
So the time can be read more accurately.
TRY AGAIN!
![Page 12: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/12.jpg)
Not Exactly…
This clock has minute increments and a sec hand.
So the time can be read more accurately.
TRY AGAIN!
![Page 13: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/13.jpg)
Fantastic!!!!
This clock has minute increments and a second
hand.
The time can be read more accurately on this clock!
![Page 14: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/14.jpg)
When we read time…we are taking a measurement!
How exact our measurement is depends on the equipment or instrument we use to take that measurement.
![Page 15: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/15.jpg)
Let’s look at another example:
The person reading this green object records
the length as 4.81950. Based on the instrument
they are using, is this a valid measurement?
Yes No
![Page 16: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/16.jpg)
Excellent!!!
This ruler does not have enough increments to measure the object to 5 decimal places. A measurement of 4.8 would be more accurate.
![Page 17: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/17.jpg)
Take Another Look…
How many increments are listed on the ruler?
Can you see enough increments to read out 5 decimal places? No!
Therefore, a measurement of 4.8 would be more accurate.
![Page 18: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/18.jpg)
Now you try…
How long is the grey block above?
What is the length of this gray block in
cm?
11.6 11.711.6511.71
![Page 19: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/19.jpg)
Let’s look Closer …
This is the line for .6
Looking at the red line, you can see that there is still some of the grey block that passes the line. Therefore, 11.6 is too small of a measurement for this block.
TRY AGAIN!
![Page 20: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/20.jpg)
Let’s look Closer …
This is the line for .7
Looking at the red line, you can see that the grey block does not reach the line. Therefore, the measurement 11.7 is too big for this block.
TRY AGAIN!
![Page 21: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/21.jpg)
Great Job!!!
This is the line for .6
Looking at the red line, you can see the line lies right between .6 and .7! Therefore, the correct measurement needs to include the .6 but also an extra digit to indicate the block passes the .6 but does not reach .7… so 11.65 does just that!
![Page 22: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/22.jpg)
Let’s look Closer …
This is the line for .7
Looking at the red line, you can see that the grey block does not reach the line. Therefore, the measurement 11.71 is too big for this block.
TRY AGAIN!
![Page 23: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/23.jpg)
Graduated Cylinders
Are used to measure the volume of a liquid
Always, record the measurements from the bottom of the meniscus.
![Page 24: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/24.jpg)
The meniscus occurs from liquid being in the graduated cylinder.
To ensure an accurate measurement, you should always read from the bottom of the meniscus.
![Page 25: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/25.jpg)
Look at the graduated
cylinder at the right.
What would be the volume of the
liquid?54 53
54.1 52.9
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TRY AGAIN!
The yellow line indicates the increment for 54. Is the bottom of the meniscus at this line?
No it isn’t.
![Page 27: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/27.jpg)
TRY AGAIN!
The yellow line indicates the increment for 53. Is the bottom of the meniscus at this line?
Almost, but you can still see a bit of the liquid line.
![Page 28: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/28.jpg)
TRY AGAIN!
The yellow line indicates the increment for 51.2. Is the bottom of the meniscus at this line?
No it isn’t.
![Page 29: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/29.jpg)
The yellow line indicates the increment for 52.9 You can no longer see the meniscus. But the liquid level is not quite at 53 because you can see the 53 increment right above the yellow line.
![Page 30: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/30.jpg)
Measurements in Science
In science, we describe a measurement as having a certain number of “significant digits”
These are called significant digits, significant figures, or sometimes just “Sig Figs”.
![Page 31: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/31.jpg)
Significant Figures or “Sig Figs”
Remember: significant figures, significant digits, and sig figs mean the same
![Page 32: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/32.jpg)
This clock reads “9:02:22”
In this measurement,
all the numbers are important to the specific
time.
Therefore, this time has 5 significant digits or
figures.
![Page 33: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/33.jpg)
Remember…
This is the line for .6
This block has a measurement of 11.65.
Each digit in the measurement is significant. Therefore, this measurement has 4 significant figures or “sig figs”
![Page 34: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/34.jpg)
When reading the bottom of this meniscus, the liquid is right at the 32 increment. However, to indicate this, the measurement needs a .0 added.
There are 3 sig figs in this measurement
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Determining Sig Figs
There are rules that dictate the number of significant digits in a measurement.
Let’s take a look at the rules!!!
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Sig Fig Rules: Significant
Non-Zeros:
.399 = 3 Sig Figs
Examples:
14679.48 = 7 Sig Figs
1) All non-zeros are significant (1-9)
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Sig Fig Rules: Significant
Zeros
8040.5 = 5 Sig Figs
Examples:
1000025 = 7 Sig Figs
2) Zeros appearing between non-zero digits are significant
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Sig Fig Rules: Significant
Zeros:
12.00 = 4 Sig Figs
Examples:
.567000 = 6 Sig Figs
3) Zeros at the end of a number and to the right of a decimal point are significant
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Sig Fig Rules: Significant
Zeros:
1100. = 4 Sig Figs
Examples:
134000. = 6 Sig Figs
4) Zeros at the end of a number and to the left of a decimal point are significant
![Page 40: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/40.jpg)
Sig Fig Rules: Non-SignificantZeros:
9000 = 1 Sig Figs
Examples:
0.08532 = 4 Sig Figs
5) Place keeping zeros are not significantA) In front of non-zero digits
B) End of a number without a decimal
Not Significant
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Now Let’s Practice!!!
How many sig figs does the following number have?
246783972
8 9
![Page 42: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/42.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
TRY AGAIN
246783972
![Page 43: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/43.jpg)
Great!!! Now which Rule did you use?
1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant 3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant 5. Place keeping zeros are NOT significant:
a)In front of non-zero digitsb)End of a number without a decimal
![Page 44: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/44.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located?
If the zeros are not between to non-zero digits, you used a different rule.
TRY AGAIN
246783972
![Page 45: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/45.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present?
If there is no decimal or if the zeros are not to the right of the decimal, then you used a different rule.
TRY AGAIN
246783972
![Page 46: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/46.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present?
If there is no decimal or the zeros are not to the left of the decimal, you used a different rule.
TRY AGAIN
246783972
![Page 47: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/47.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present? If the zeros are in front of any non-zero digit, or if the zeros are at the end of a number without a decimal, you used a different rule.
TRY AGAIN
246783972
![Page 48: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/48.jpg)
Great!!! Let’s Try Another One…
How many sig figs does the following number have?
0.0000784
7 3 8
![Page 49: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/49.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
TRY AGAIN
0.0000784
![Page 50: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/50.jpg)
Awesome!!! Now which Rule did you use?
1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant 3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant 5. Place keeping zeros are NOT significant:
a)In front of non-zero digitsb)End of a number without a decimal
![Page 51: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/51.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are all the digits between 1-9?
If there is one zero, you used a different rule.
TRY AGAIN
0.0000784
![Page 52: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/52.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located?
If the zeros are not between to non-zero digits, you used a different rule.
0.0000784
TRY AGAIN
![Page 53: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/53.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present?
If there is no decimal or if the zeros are not at the end of a number and to the right of the decimal, then you used a different rule.
0.0000784
TRY AGAIN
![Page 54: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/54.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present?
If there is no decimal or the zeros are not to the left of the decimal, you used a different rule.
0.0000784
TRY AGAIN
![Page 55: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/55.jpg)
You really know your stuff!Let’s Try Another…
How many sig figs does the following number have?
6300045
2 4 7
![Page 56: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/56.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
TRY AGAIN
6300045
![Page 57: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/57.jpg)
Fantastic!!! Now which Rule did you use?
1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant 3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant 5. Place keeping zeros are NOT significant:
a)In front of non-zero digitsb)End of a number without a decimal
![Page 58: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/58.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are all the digits between 1-9?
If there is one zero, you used a different rule.
TRY AGAIN
6300045
![Page 59: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/59.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present?
If there is no decimal or if the zeros are not to the right of the decimal, then you used a different rule.
6300045
TRY AGAIN
![Page 60: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/60.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present?
If there is no decimal or the zeros are not to the left of the decimal, you used a different rule.
6300045
TRY AGAIN
![Page 61: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/61.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present? If the zeros are in front of any non-zero digit, or if the zeros are at the end of a number without a decimal, you used a different rule.
6300045
TRY AGAIN
![Page 62: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/62.jpg)
Yes!!! You got it!!Do Another…
How many sig figs does the following number have?
6700000000000000000000000000000000
34 17 2
![Page 63: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/63.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
TRY AGAIN
6700000000000000000000000000000000
![Page 64: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/64.jpg)
Great Job!!! Now which Rule did you use?
1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant 3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant 5. Place keeping zeros are NOT significant:
a)In front of non-zero digitsb)End of a number without a decimal
![Page 65: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/65.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are all the digits between 1-9?
If there is one zero, you used a different rule.
TRY AGAIN
6700000000000000000000000000000000
![Page 66: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/66.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located?
If the zeros are not between to non-zero digits, you used a different rule.
6700000000000000000000000000000000
TRY AGAIN
![Page 67: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/67.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present?
If there is no decimal or if the zeros are not to the right of the decimal, then you used a different rule.
6700000000000000000000000000000000
TRY AGAIN
![Page 68: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/68.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present?
If there is no decimal or the zeros are not to the left of the decimal, you used a different rule.
6700000000000000000000000000000000
TRY AGAIN
![Page 69: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/69.jpg)
Great Work!! Here’s Another…
How many sig figs does the following number have?
1300000000000.
2 13 8
![Page 70: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/70.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
TRY AGAIN
1300000000000.
![Page 71: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/71.jpg)
Nice Work!!! Now which Rule did you use?
1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant 3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant 5. Place keeping zeros are NOT significant:
a)In front of non-zero digitsb)End of a number without a decimal
![Page 72: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/72.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are all the digits between 1-9?
If there is one zero, you used a different rule.
TRY AGAIN
1300000000000.
![Page 73: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/73.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located?
If the zeros are not between to non-zero digits, you used a different rule.
1300000000000.
TRY AGAIN
![Page 74: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/74.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present?
If there is no decimal or if the zeros are not to the right of the decimal, then you used a different rule.
1300000000000.
TRY AGAIN
![Page 75: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/75.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present? If the zeros are in front of any non-zero digit, or if the zeros are at the end of a number without a decimal, you used a different rule.
1300000000000.
TRY AGAIN
![Page 76: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/76.jpg)
Hooray!!! Just one More…
How many sig figs does the following number have?
3.400
4 2
![Page 77: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/77.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
TRY AGAIN
3.400
![Page 78: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/78.jpg)
Great!!! Now which Rule did you use?
1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant 3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant 5. Place keeping zeros are NOT significant:
a)In front of non-zero digitsb)End of a number without a decimal
![Page 79: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/79.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are all the digits between 1-9?
If there is one zero, you used a different rule.
TRY AGAIN
3.400
![Page 80: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/80.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located?
If the zeros are not between to non-zero digits, you used a different rule.
3.400
TRY AGAIN
![Page 81: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/81.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present?
If there is no decimal or the zeros are not to the left of the decimal, you used a different rule.
3.400
TRY AGAIN
![Page 82: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/82.jpg)
Remember your Rules: 1. All non-zeros are significant (1-9)
2. Zeros appearing between non-zero digits are significant
3. Zeros at the end of a number and to the right of a decimal point are significant
4. Zeros at the end of a number and to the left of a decimal point are significant
5. Place keeping zeros are NOT significant:
a) In front of non-zero digits
b) End of a number without a decimal
Are there zeros in your value? Where are they located? Is there a decimal present? If the zeros are in front of any non-zero digit, or if the zeros are at the end of a number without a decimal, you used a different rule.
3.400
TRY AGAIN
![Page 83: Measurement & Significant Figures](https://reader038.vdocuments.mx/reader038/viewer/2022110103/56814348550346895dafc2ea/html5/thumbnails/83.jpg)
YAY!!! You Did It!!!
Great Work!!!!
When taking measurements or using measurements in science,
Remember to use significant figures.
Significant figures or digits will be important to many of the concepts and topics you will learn in chemistry
this year.