Question

chemistry
worksheet - scientific notation, significant figures, units & conversions

1. write each of the following numbers in proper scientific notation.

a) 450,000
b) 0.00000982
c) 6,906

1. determine how many significant figures are in each of the following measurements.

a) 17.30 ml
b) 0.0037 mm
c) 3.05 x 10⁻³ kg

1. round each of the following measurements to three significant figures.

a) 18.75°c
b) 4.8015 g/ml
c) 0.002955 km

1. perform each of the following calculations. write the answer given by your calculator on the first blank and then round to appropriate number of significant figures on the second blank.

a) 0.57 cm x 0.86 cm x 17.1 cm = _____________ = _____________
b) 4.153 cm ÷ 1.81 cm = _____________ = _____________
c) 0.64 m x 14.8 m x 50.0 m = _____________ = _____________

1. convert each of the following measurements.

a) convert 0.410 m to cm
b) convert 32.8 ml to l
c) convert 2.51 km to mm

foxtrot
by bill amend
cartoon panels omitted as per ocr instructions

Explanation:

Question 1: Write in proper scientific notation

Part A: 450,000

Step1: Identify the coefficient (1-10)

Move the decimal to get \( 4.5 \) (from \( 450000. \) to \( 4.5 \times 10^? \)).

Step2: Count decimal places moved

Moved 5 places right (positive exponent).
\( 450000 = 4.5 \times 10^5 \)

Part B: 0.00000982

Step1: Identify the coefficient (1-10)

Move the decimal to get \( 9.82 \) (from \( 0.00000982 \) to \( 9.82 \times 10^? \)).

Step2: Count decimal places moved

Moved 6 places left (negative exponent).
\( 0.00000982 = 9.82 \times 10^{-6} \)

Part C: 6,906

Step1: Identify the coefficient (1-10)

Move the decimal to get \( 6.906 \) (from \( 6906. \) to \( 6.906 \times 10^? \)).

Step2: Count decimal places moved

Moved 3 places right (positive exponent).
\( 6906 = 6.906 \times 10^3 \)

Question 2: Determine significant figures

Part A: 17.30 mL

Answer:

Step1: Convert km to m: \( 1 \, \text{km} = 1000 \, \text{m} \)

\( 2.51 \, \text{km} \times 1000 \, \text{m/km} = 2510 \, \text{m} \)

Step2: Convert m to mm: \( 1 \, \text{m} = 1000 \, \text{mm} \)

\( 2510 \, \text{m} \times 1000 \, \text{mm/m} = 2510000 \, \text{mm} = 2.51 \times 10^6 \, \text{mm} \)

Final Answers (Key Parts):

1. A) \( \boldsymbol{4.5 \times 10^5} \); B) \( \boldsymbol{9.82 \times 10^{-6}} \); C) \( \boldsymbol{6.906 \times 10^3} \)
2. A) \( \boldsymbol{4} \); B) \( \boldsymbol{2} \); C) \( \boldsymbol{3} \)
3. A) \( \boldsymbol{18.8^\circ \text{C}} \); B) \( \boldsymbol{4.80 \, \text{g/mL}} \); C) \( \boldsymbol{0.00296 \, \text{km}} \)
4. A) Calculator: \( 8.38242 \), Rounded: \( \boldsymbol{8.4} \) (or \( 8.38 \) if 3 sig figs); B) Calculator: \( 2.294475 \), Rounded: \( \boldsymbol{2.29} \); C) Calculator: \( 473.6 \), Rounded: \( \boldsymbol{4.7 \times 10^2} \) (or \( 470 \))
5. A) \( \boldsymbol{41.0 \, \text{cm}} \); B) \( \boldsymbol{0.0328 \, \text{L}} \); C) \( \boldsymbol{2.51 \times 10^6 \, \text{mm}} \) (or \( 2510000 \, \text{mm} \))