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123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m 1 dm 10 X X Day 5 10- 15

123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

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Significant Figure Rules Rules governing significance: 1. Non-zeros are always Significant (1, 2, 3, 4…). 2. Zeros between non-zeros (sig. figs.) are Always Significant (707). Think Certainty

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Page 1: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

123 mm = _________ dm

123 mmmm

m1000

1=

1.23 dm

m1dm10

X X

Day 5 10-15

Page 2: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

- A measured digit

- scientists repeat experiments and AMOUNT MATTERS!

Page 3: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Significant Figure Rules

Rules governing significance:

1. Non-zeros are always Significant (1, 2, 3, 4…).

2. Zeros between non-zeros (sig. figs.) are Always Significant (707).

Think Certainty

Page 4: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Significant Figure RulesRules governing significance:

3. A final zero or trailing zeros in the decimal portion ONLY are significant (0.010200).

4. Place holders are not significant (0.004, 400)

are significant

are NOT significant

Page 5: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Significant Figure Rules4. Place holders are not significant

(0.004, 400)

• Zeroes placed before other digits are not significant; 0.046 has two significant digits.

• Zeroes at the end of a non-decimal # are significant only if there is a decimal point (100.). They are NOT sig. if there is not a decimal point (100)

Page 6: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Significant Figure Rules

1.Non-zeros are Always Significant (1, 2, 3, 4…)

2. Zeros between non-zeros are Always Significant (707)

Another approach

Page 7: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Left of the decimal Right of the decimalIs the zero by its self Is there a non-zero

If yes = Not sig. anywhere to the left

If no is there a dec. – if yes = sig.

Pt. to the right if yes

= Significant

0.006

10.0506

2020

3. Other Zeros

- 1

- 6

- 3

Another approach

Page 8: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Left of the decimal Right of the decimalIs the zero by its self Is there a non-zero

If yes = Not sig. anywhere to the left

If no is there a dec. – if yes = sig.

Pt. to the right if yes

= Significant

200

20.0

200.

3. Other Zeros

- 1

- 3

- 3

Another approach

Page 9: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Significant Figure Practice7.0080

0.00640

70.0

7.07001

Page 10: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

HANDOUTS

Page 11: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

1. Hand in handout – Conversions Assignment

2. Complete # 74 on page 96 (they must be correct and you must show work)

3. NOTEBOOKS

Page 12: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

1. Explain how you convert from Celcius to Kelvins.

CP

Day 6 10-16

2. Convert 4500 micrograms to milligrams.

Page 13: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

1. How many sig. figs.?

a. 72010

b. 710.00

c. 0.006

Page 14: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

How is certainty expressed in measurements and simple calculations?

CP

Page 15: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Rules For Multiplying And Dividing With Sig. Figs.1. Do the Math – Get an answer2. Go Back to your original Numbers and Count Significant Figures3. Use the least # of Significant Figures (from your original #s) For your answer

Page 16: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Rules For Multiplying And Dividing With Sig. Figs.

1. 20. * 10 =

2. 0.010 * 20.0 =2 3

2 1200 = 200

0.2 = 0.20

3. 10.0 / 5.5 =3 2

1.8181…= 1.8

Page 17: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Significant Figure Rules•To eliminate sig. figs. ROUND

•To add sig. figs. Use a dec. pt. OR add zeros

Page 18: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Practicing Multiplying And Dividing With Sig. Figs.

1. 2.00 * 1.0

2. 10.1 / 2.5

= 2.0

= 4.0

Page 19: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Significant Figure Rules

Practice Assignment

Notebook Checks

Page 20: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Day 1 10-17

1. Convert 1,200 km to dm.

2. How many sig. figs.:

0.0170

700.010

3. Calculate with sig figs.:

21.3 * 10.

Page 21: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Significant Figure Rules

What are the rules for

multiplying and dividing?

Page 22: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Discussion partner review – it’s graded!!!

Page 23: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Rules For Adding And Subtracting With Sig. Figs.

1. Do the Math – Get an answer2. Go Back to your original Numbers and find the last significant digit (farthest to the right) – underline it in each original number.3. Find the underlined digit farthest to the left and round your answer to that place

Page 24: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

1. 20. + 10 =

2. 0.010 + 20.0 =

30 = 30

3. 10. - 5.5 = 4.5 = 5

Rules For Adding And Subtracting With Sig. Figs.

20.01 = 20.0

Page 25: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

1. 41. + 20 =

2. 0.010 - 12.34 =

61 = 60

Practice Adding And Subtracting With Sig. Figs.

- 12.330 =

- 12.33

Page 26: 123 mm = _________ dm 123 mm mm m 1000 1 = 1.23 dm m1 dm 10 XX Day 5 10-15

Significant Figure Rules

Practice Packet