Sig Figs + Scientific Notation

How many significant figures are in 5.007 m?

4

How many significant figures are in 0.0003 mL?

1

How many significant figures are in 0.03500 g?

4

How many significant figures are in 2.897 g?

4

How many significant figures are in 47.840 g?

5

How many significant figures are in 1.00668 g/mL?

6

How many significant figures are in 0.0001248 km?

4

How many significant figures are in 9261 cm³?

4

How many significant figures are in 1.2 × 10⁴ km?

2

How many significant figures are in 1.2000 × 10⁴ km?

5

A number begins with zeros before the first nonzero digit. Do those zeros count as significant?

No

A zero is trapped between two nonzero digits. Does it count as significant?

Yes

A number ends in zeros after a decimal point. Do those zeros count as significant?

Yes

A whole number ends in zeros but has no decimal point shown. Are those zeros automatically significant?

No, they are ambiguous

Which has more significant figures: 20600 g or 2.0600 × 10⁴ g?

2.0600 × 10⁴ g

Round 7.347 to 2 significant figures.

7.3

Round 5.678 to 2 significant figures.

5.7

Round 82.946 to 3 significant figures.

82.9

Round 0.004867 to 2 significant figures.

0.0049

Round 13650 to 3 significant figures using scientific notation.

1.37 × 10⁴

Write 4500 in scientific notation with 2 significant figures.

4.5 × 10³

Write 0.00320 in scientific notation.

3.20 × 10⁻³

Write 9261 in scientific notation.

9.261 × 10³

Write 0.0001248 in scientific notation.

1.248 × 10⁻⁴

In scientific notation, the first number should be between what two values?

1 and 10

For multiplication/division, what determines the number of significant figures in the final answer?

The measurement with the fewest significant figures

For addition/subtraction, what determines the final rounding place?

The measurement with the fewest decimal places

When doing mixed operations, when should you round?

After calculations are finished

What is 6.3 × 3.25 rounded correctly?

20.

Why is 6.3 × 3.25 rounded to 20.?

The answer must have 2 significant figures because 6.3 has 2 significant figures

What is 23 + 2.4 + 0.24 + 0.024 rounded correctly?

26

Why is 23 + 2.4 + 0.24 + 0.024 rounded to the ones place?

23 has 0 decimal places

What is 6.221 cm × 5.2 cm rounded correctly?

32 cm²

Why is 6.221 cm × 5.2 cm rounded to 32 cm²?

5.2 has the fewest significant figures, which is 2

Do exact conversion factors limit significant figures?

No

A counted number like 12 eggs is exact or measured?

Exact

A balance reading like 12.35 g is exact or measured?

Measured

If a calculator shows 20.475 for a multiplication problem, should you automatically write the whole number?

No, round using sig fig rules