Significant Figures Math

More Sig Figs

Multiple Choice

How many sig. fig. are in the number below:
0.0005

• 1

• 2

• 3

• 4

Multiple Choice

How many sig figs are there?
0.00400

• 1

• 3

• 5

• 6

Multiple Choice

Which measurement contains 3 sig figs?

• 200 mL

• 20.0 mL

• 0.02 mL

• 0.020mL

Multiple Choice

Volume?

• 63.5 mL

• 63 mL

• 63.55 mL

• 6 mL

Multiple Choice

Considering Sigfigs what would be the correct length of the square's sides?

• 1.25

• 1.2

• 1.3

• 1.40

Multiple Choice

Round 1047.78 to three sig figs

• 104

• 105

• 1050

• 1050.00

Multiple Choice

Round 1047.78 to three sig figs

• 104

• 105

• 1050

• 1050.00

Multiple Choice

What is 7.555 rounded to two significant figures.

• a. 7.6

• b. 7.5

• c. 70

• d. 76

Fill in the Blanks

Type in the measurement on the balance to the correct number of significant digits. No unit.

Math Functions and Sig Figs

Addition & Subtraction

Example:

150.7 + 0.27 = 150.97 → 151.0

You Try:

123.6 + 0.321 =

0.21 + 3.2 =

3.25 + 7 =

Multiple Choice

Solve. Round using SigFig math rules.
98.7°C - 97.25°C 

• 1°C

• 1.5°C

• 1.45°C

• 1.450°C

Multiple Choice

Find the sum 3.35 + 1.4 + 3.65

• 8.9

• 8.22

• 8.43

• 8.4

Multiple Choice

Solve. Round using SigFig math rules.
12.5-mL + 20.05-mL + 2.69-mL

• 35-mL

• 35.2-mL

• 35.24-mL

• 35.240-mL

Multiple Choice

33 g - 2.1 g = ?

• 31.9 g

• 31 g

• 30.9 g

• 30 g

Multiplication & Division

Example

5.761 x 6.20 = 35.7182 →

You Try

6.62 x 2.5 =

4.6354 x 5.621 =

Multiple Choice

Complete the following calculations. Round off your answers as needed.

245.01 km x 2.1 km

• 5.14521 x 10²

• 510

• 514

• 514.521

Multiple Choice

Calculate 923 g ÷ 20312 cm³ and give your answer with the appropriate number of significant figures.

• 0.04 g/cm³

• 0.045 g/cm³

• 0.0454 g/cm³

• 4 x 10^-2 g/cm³

Multiple Choice

What is the correct answer according to sig fig rules:

.005612 x .40145 =

• .0022

• .00225

• .002252

• .002253

Multiple Choice

Solve & Round to Correct Sig Figs.
100 / 2 = 

• 50

• 50.

• 50.0

• 50.00

Multiple Choice

Calculate 12.47 m ÷ 3.2 s and give your answer with the correct number of significant figures.

• 4 m/s

• 3.9 m/s

• 3.90 m/s

• 3.897 m/s

Multiple Choice

Calculate 0.020 cm x 50 cm x 11.1 cm and give your answer with the correct number of significant figures.

• 10 cm³

• 11.1 cm³

• 11 cm³

• 11. cm³

Scientific Notation

A way to simplify very large or

very small numbers

Scientific Notation

M x 10n

• M is a number between 1 and 10

• n is an integer

• All digits in M are significant

Putting #s in Scientific Notation

➢Move decimal so that M is between 1 and 10

➢Determine n by counting the number of places the

decimal point was moved
Moved to the left, n is positive
Moved to the right, n is negative

➢Examples:

123000 →
0.000003265 →
302 x 10-8 →
.004 x 106→

Multiple Choice

How would you write 0.0005 in scientific notation?

• 50 x 10^-5

• 5 x 10^-4

• 5 x 10³

• .5 x 10³

Fill in the Blanks

How do you write 8.317 x 10⁶ in standard form?

Multiple Choice

Which of the following numbers is written in scientific notation?

• 20.35 x 10⁴

• .2035 x 10⁴

• 2035 ⁴

• 2.035 x10⁴

Multiple Choice

Express the following in scientific notation:

.000457

• 457 x 10⁶

• 457 x 10^-6

• 4.57 x10⁴

• 4.57 x 10^-4

Multiple Choice

Convert to scientific notation:

520,000,000

• 52 x 10⁷

• 5.2 x 10^-7

• 5.2 x 10⁸

• 0.52 x 10⁹

Fill in the Blanks

Convert this number to standard notation:

7.1 x 10⁴

Multiple Choice

Which value is the greatest?

• 5.0 x 10^-9

• 5.0 x 10^-4

• 5.0 x 10⁶

• 5.0 x 10⁸

A note about calculators…

• YOU MUST PUT THE WHOLE NUMBER IN

PARENTHESIS OR THE CALCULATION WILL BE
INCORRECT (SOMETIMES)

MATH & SCIENTIFIC NOTATION

• Addition and Subtraction

– Operations can only be done if the exponent on

each number is the same

– M factors are added or subtracted
– Exponents stay the same

• Examples (NO CALCULATORS)

4.2 x 10-2 + 3.1 x 10-2

4.2 x 10-2 - 3.1 x 10-2

6.0 x 10-3 + 5.5 x 10-4

• Multiplication

– M factors are multiplied
– Exponents are added

• Examples

(4.0 x 10-2) x (3.0 x 10-4)

(8.0 x 105) x (2.0 x 10-1)

• Division

– M factors are divided
– Exponents are subtracted (numerator –

denominator)

• Examples

(8.0 x 105)
(4.0 x 102)

(12.0 x 104)
(4.0 x 10-3)

Multiple Choice

Perform the following calculation.

Express your answer in scientific notation.

(7.4 x 10^-2) - (6.5 x 10^-4)

• 4.81 x 10⁷

• 7.335 x 10^-2

• 9.0 x 10^-1

Math Response

$$\left(7.8\times10^5\right)+\left(5.4\times10^5\right)$$

Type answer here

Correct Answer: 1.32\times10^6

Deg^°

Rad

Multiple Choice

Perform the following calculations.
Express your answer in scientific notation.
$$\frac{7.15\ x\ 10^3}{2.5\ x\ 10^{-3}}$$  

• $$2.86\ x\ 10^{-6}$$  

• $$28.6\ x\ 10^7$$  

• $$2.86\ x\ 10^6$$  

Math Response

$$\left(1.09\times10^{-3}\right)+\left(9.2\times10^{-2}\right)$$

Type answer here

Correct Answer: 9.309\times10^{-2}

Deg^°

Rad