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![Page 1: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/1.jpg)
Significant Digits Notes
You will need your own paper
![Page 2: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/2.jpg)
Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular number.
Question (do not need to copy):
If you won one million dollars, where would you want that rounded?
The person paying would want to round it at the millions place, then they only have to pay you $500,000. Significant digits communicates where the rounding occurred! (end of do not need to copy)
![Page 3: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/3.jpg)
In science we round for our measurements. We always estimate a digit between the lines on a measurement tool, and with significant digits we can communicate how accurate a measurement tool we used.
![Page 4: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/4.jpg)
The Four Rules for Significant Digits:
![Page 5: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/5.jpg)
The Four Rules for Significant Digits:1) All nonzero digits are significant
![Page 6: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/6.jpg)
The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significant
![Page 7: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/7.jpg)
The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significantExamples: 4.00000 ← these zeros are sig digs
![Page 8: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/8.jpg)
The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significantExamples: 4.00000 ← these zeros are sig digs
.400000 ← these zeros are sig digs
![Page 9: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/9.jpg)
The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significantExamples: 4.00000 ← these zeros are sig digs
.400000 ← these zeros are sig digs
Nonexamples: 400000 ← these zeros are NOT sig digs
![Page 10: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/10.jpg)
The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significantExamples: 4.00000 ← these zeros are sig digs
.400000 ← these zeros are sig digs
Nonexamples: 400000 ← these zeros are NOT sig digs
.000004 ← these zeros are NOT sig digs
![Page 11: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/11.jpg)
The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significantExamples: 4.00000 ← these zeros are sig digs
.400000 ← these zeros are sig digs
Nonexamples: 400000 ← these zeros are NOT sig digs
.000004 ← these zeros are NOT sig digs
Mixed: .00400 ← only 2 of these zeros are sig digs
![Page 12: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/12.jpg)
The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significant3) Zero between significant digits (zeros or
nonzeros) are also significantExamples: 4000005 ← these zeros are sig
digs
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The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significant3) Zero between significant digits (zeros or
nonzeros) are also significantExamples: 4000005 ← these zeros are sig digs
400.0005 ← these zeros are sig digs
![Page 14: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/14.jpg)
The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significant3) Zero between significant digits (zeros or
nonzeros) are also significantExamples: 4000005 ← these zeros are sig digs
400.0005 ← these zeros are sig digs
.4000005 ← these zeros are sig digs
![Page 15: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/15.jpg)
The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significant3) Zero between significant digits (zeros or
nonzeros) are also significantExamples: 4000005 ← these zeros are sig digs
400.0005 ← these zeros are sig digs
.4000005 ← these zeros are sig digs
![Page 16: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/16.jpg)
The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significant3) Zero between significant digits (zeros or
nonzeros) are also significantExamples: 4000005 ← these zeros are sig digs
400.0005 ← these zeros are sig digs
.4000005 ← these zeros are sig digs
Nonexample: 0.0000045 ← these zeros are NOT sig digs
![Page 17: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/17.jpg)
The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significant3) Zero between significant digits (zeros or
nonzeros) are also significantExamples: 4000005 ← these zeros are sig digs
400.0005 ← these zeros are sig digs
.4000005 ← these zeros are sig digs
Nonexample: 0.0000045 ← these zeros are NOT sig digs
Mixed: 0.004005 ← only 2 of these zeros are sig digs
![Page 18: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/18.jpg)
The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significant3) Zero between significant digits (zeros or
nonzeros) are also significant4) Any other zeros are NOT signficiant digits, but
still MUST be shown to keep the decimal place correct
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The Four Rules for Significant Digits:1) All nonzero digits are significant2) Zeros that are after a decimal and after a
nonzero digit (or vice versa) are significant3) Zero between significant digits (zeros or
nonzeros) are also significant4) Any other zeros are NOT signficiant digits, but
still MUST be shown to keep the decimal place correct
Example : 1,000,000 ← only the “1” is a sig dig, so the one is where the rounding occurred (could have been 4,000,000 rounded down or 500,000 rounded up - we don’t know, but we know where it was rounded)
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Self-Check (do not need to copy):
How would you write one million to be as sure as possible of getting all your money?
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Significant Digits Practice
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Copy down these numbers, then circle the sig digs in each of them:84.100.03910077.66700.06078008.528000.000900.006
7080300500.020640004009200001600.005000.000000100200
![Page 23: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/23.jpg)
Copy down these numbers, then round them to the stated amount of sig digs:84.10 to 3 S.D.84.10 to 1 S.D.0.039100 to 2 S.D.0.9876 to 3 S.D.
0.9876 to 1 S.D.7080 to 3 S.D.30050 to 3 S.D.500 to 2 S.D.
![Page 24: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/24.jpg)
How many Significant Digits is in:
84.10
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How many Significant Digits is in:
84.10
4
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How many Significant Digits is in:
0.039100
![Page 27: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/27.jpg)
How many Significant Digits is in:
0.039100
5
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How many Significant Digits is in:
77.6670
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How many Significant Digits is in:
77.6670
6
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How many Significant Digits is in:
0.060
![Page 31: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/31.jpg)
How many Significant Digits is in:
0.060
2
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How many Significant Digits is in:
78000
![Page 33: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/33.jpg)
How many Significant Digits is in:
78000
2
![Page 34: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/34.jpg)
How many Significant Digits is in:
8.52800
![Page 35: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/35.jpg)
How many Significant Digits is in:
8.52800
6
![Page 36: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/36.jpg)
How many Significant Digits is in:
0.00090
![Page 37: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/37.jpg)
How many Significant Digits is in:
0.00090
2
![Page 38: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/38.jpg)
How many Significant Digits is in:
0.006
![Page 39: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/39.jpg)
How many Significant Digits is in:
0.006
1
![Page 40: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/40.jpg)
How many Significant Digits is in:
7080
![Page 41: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/41.jpg)
How many Significant Digits is in:
7080
3
![Page 42: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/42.jpg)
How many Significant Digits is in:
30050
![Page 43: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/43.jpg)
How many Significant Digits is in:
30050
4
![Page 44: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/44.jpg)
How many Significant Digits is in:
0.0206
![Page 45: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/45.jpg)
How many Significant Digits is in:
0.0206
3
![Page 46: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/46.jpg)
How many Significant Digits is in:
4000400
![Page 47: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/47.jpg)
How many Significant Digits is in:
4000400
5
![Page 48: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/48.jpg)
How many Significant Digits is in:
9200001
![Page 49: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/49.jpg)
How many Significant Digits is in:
9200001
7
![Page 50: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/50.jpg)
How many Significant Digits is in:
600.00
![Page 51: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/51.jpg)
How many Significant Digits is in:
600.00
5
![Page 52: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/52.jpg)
How many Significant Digits is in:
500
![Page 53: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/53.jpg)
How many Significant Digits is in:
500
1
![Page 54: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/54.jpg)
How many Significant Digits is in:
0.000000100200
![Page 55: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/55.jpg)
How many Significant Digits is in:
0.000000100200
6
![Page 56: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/56.jpg)
Round the following number to the amount of Significant Digits:
84.10 to 3 S.D.
![Page 57: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/57.jpg)
Round the following number to the amount of Significant Digits:
84.10 to 3 S.D.
84.1
![Page 58: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/58.jpg)
Round the following number to the amount of Significant Digits:
84.10 to 1 S.D.
![Page 59: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/59.jpg)
Round the following number to the amount of Significant Digits:
84.10 to 1 S.D.
80
![Page 60: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/60.jpg)
Round the following number to the amount of Significant Digits:
0.039100 to 2 S.D.
![Page 61: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/61.jpg)
Round the following number to the amount of Significant Digits:
0.039100 to 2 S.D.
0.039
![Page 62: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/62.jpg)
Round the following number to the amount of Significant Digits:
0.9876 to 3 S.D.
![Page 63: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/63.jpg)
Round the following number to the amount of Significant Digits:
0.9876 to 3 S.D.
0.988
![Page 64: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/64.jpg)
Round the following number to the amount of Significant Digits:
0.9876 to 1 S.D.
![Page 65: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/65.jpg)
Round the following number to the amount of Significant Digits:
0.9876 to 1 S.D.
1
![Page 66: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/66.jpg)
Round the following number to the amount of Significant Digits:
7080 to 3 S.D.
![Page 67: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/67.jpg)
Round the following number to the amount of Significant Digits:
7080 to 3 S.D.
7080
![Page 68: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/68.jpg)
Round the following number to the amount of Significant Digits:
30050 to 3 S.D.
![Page 69: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/69.jpg)
Round the following number to the amount of Significant Digits:
30050 to 3 S.D.
30100
![Page 70: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/70.jpg)
Round the following number to the amount of Significant Digits:
500 to 2 S.D.
![Page 71: You will need your own paper. Purpose: Significant digits (or significant figures) is a communication tool to express where you rounded any particular.](https://reader035.fdocuments.us/reader035/viewer/2022062422/56649ee95503460f94bfafd8/html5/thumbnails/71.jpg)
Round the following number to the amount of Significant Digits:
500 to 2 S.D.
5.0 x 102