Pogil Sig Figs - School of Arts & Sciences | School of Arts and Sciences

[Pages:4]Mr. Balmer September 2007

Significant Figures Process Oriented Guided Inquiry Learning: Sig. Fig. POGIL for Short

(What is a sig. fig. and how do you determine if a digit is significant?)

Why? This POGIL explores the concept of significant figures, also known as significant

digits or sig. figs. for short. You have already learned how to read a scale and report your number so that it shows the correct uncertainty. You learned that some digits are certain and one digit is uncertain or estimated. In this POGIL, you will learn how to write and read numbers with the correct uncertainty even though you do not know the scale that was used.

Success Criteria:

? Students will be able to determine the number of sig. figs. in a written number. ? Students will be able to write a number using the specified number of sig. figs.

Given Information:

Decimal is present: #'s > 1

9 000.

870.0

65.04

3.210

These numbers have 4 sig. figs.

900.

87.0

6.05

4.30

These numbers have 3 sig. figs.

20.

1.0

90.

8.0

These numbers have 2 sig. figs.

7

6

5

4

These numbers have 1 sig. fig.

__________________________________________________________________________

Decimal is present: #'s < 1

0.9000 0.8700 0.6540

0.3002

These numbers have 4 sig. figs.

0.100

0.980

0.706

0.0540

These numbers have 3 sig. figs.

0.30

0.21

0.098

0.00076 These numbers have 2 sig. figs.

0.5

0.04

0.003

0.0002

This number has 1 sig. fig.

__________________________________________________________________________

Decimal is absent

9 876

5 403

2 001

90 870

These numbers have 4 sig. figs.

654

302

1 090

87 600

These numbers have 3 sig. figs.

54

320

1 900

87 000

This number has 2 sig. figs.

6 000

500

40

3

These numbers have 1 sig. figs.

__________________________________________________________________________

Questions:

1.) How many sig. figs. does the number 870.0 have? 2.) How many sig. figs. does the number 0.8700 have? 3.) How many sig. figs. does 5 280 feet have? Explain. 4.) How many sig. figs. does 602 200 000 000 000 000 000 000 molecules have? Explain. 5.) How many sig. figs. does 0.08206 Latm/moleK have? Explain. 6.) How many sig. figs. does 1.01325 kPa have? Explain.

7.) In a clear, grammatically-correct sentence, explain how you determine the number of sig. figs. in a written number.

8.) When are zeros significant, and when are zeros insignificant?

9.) How can you write 1 000 000 with 3 sig. figs? (Hint, there are 2 ways.)

Mr. Balmer KEY September 2007

KEY Significant Figures Process Oriented Guided Inquiry Learning:

Sig. Fig. POGIL for Short

(What is a sig. fig. and how do you determine if a digit is significant?)

Why? This POGIL explores the concept of significant figures, also known as significant

digits or sig. figs. for short. You have already learned how to read a scale and report your number so that it shows the correct uncertainty. You learned that some digits are certain and one digit is uncertain or estimated. In this POGIL, you will learn how to write and read numbers with the correct uncertainty even though you do not know the scale that was used.

Success Criteria:

? Students will be able to determine the number of sig. figs. in a written number. ? Students will be able to write a number using the specified number of sig. figs.

Given Information:

Decimal is present: #'s > 1

9 000.

870.0

65.04

3.210

These numbers have 4 sig. figs.

900.

87.0

6.05

4.30

These numbers have 3 sig. figs.

20.

1.0

90.

8.0

These numbers have 2 sig. figs.

7

6

5

4

These numbers have 1 sig. fig.

__________________________________________________________________________

Decimal is present: #'s < 1

0.9000 0.8700 0.6540

0.3002

These numbers have 4 sig. figs.

0.100

0.980

0.706

0.0540

These numbers have 3 sig. figs.

0.30

0.21

0.098

0.00076 These numbers have 2 sig. figs.

0.5

0.04

0.003

0.0002

This number has 1 sig. fig.

__________________________________________________________________________

Decimal is absent

9 876

5 403

2 001

90 870

These numbers have 4 sig. figs.

654

302

1 090

87 600

These numbers have 3 sig. figs.

54

320

1 900

87 000

This number has 2 sig. figs.

6 000

500

40

3

These numbers have 1 sig. figs.

__________________________________________________________________________

Questions:

1.) How many sig. figs. does the number 870.0 have?

Four. The zero after the decimal counts.

2.) How many sig. figs. does the number 0.8700 have?

Four. The zeros after the decimal count.

3.) How many sig. figs. does 5 280 feet have? Explain.

Three. Without a decimal, the zero doesn't count.

4.) How many sig. figs. does 602 200 000 000 000 000 000 000 molecules have? Explain.

Four. Without a decimal, the zeros don't count.

5.) How many sig. figs. does 0.08206 Latm/moleK have? Explain.

Four. The first zero after the decimal doesn't count, because it doesn't follow a non-zero digit.

6.) How many sig. figs. does 1.01325 kPa have? Explain.

Six. The zero is between two non-zero digits, so it counts.

7.) In a clear, grammatically-correct sentence, explain how you determine the number of sig. figs. in a written number. All digits are considered significant, unless they are only being used to hold a place value.

8.) When are zeros significant, and when are zeros insignificant? Zeros are significant between two non-zero digits. Zeros are significant after a decimal when they follow a non-zero digit. Zeros are significant before a decimal if they follow a non-zero digit.

9.) How can you write 1 000 000 with 3 sig. figs? (Hint, there are 2 ways.) 1.00 x 106 or 1 OO OOO

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