Scientific Notation
Sig Figs
Operations with Sig figs
Conversions
Dimensional analysis
100

Write 56,700,000 in scientific notation.

5.67×107

100

How many significant figures are in 0.00450?

3

100

56.7+2.45=? 

59.2

100

Convert 56.90 mm to meters.

0.05690 m

100

The human body temperature is 37 °C. Convert to Kelvin.

310 K

200

Express 0.000045 in scientific notation.

4.5×10-5

200

How many significant figures are in 78,900 (with no decimal point)?

3

200

12.4×2.0=? 

24.8 → rounded to 25 (2 sf)

200

Convert 0.0051 dL (decaliters) to mL.

51.0 mL

200

A watch loses 0.12 seconds every minute. How many seconds will it lose in one day?

172.8 s/day (≈ 173 s/day)

300

(3.45×10) + (6.21x 106)

6.56×106  

300

How many significant figures are in 109.030?

6

300

89.193−7.3=? 

81.893 → 81.9

300

Convert 8.0 km to centimeters.

800,000 cm

300

A piece of steel carries sound at 342 miles/second. How many kilometers will it travel in 2 hours? (1 km = 0.62 miles)

3,973,548 km.
Answer: ≈ 3.97 × 106km

400

Multiply (6.2×103)(4.0×102)and give your answer in scientific notation.

2.48×106

400

Round 4578 to 3 significant figures.

4.58 × 103 

400

(5.67×103)+(4.3×102)=? 

6.10×103

400

Convert 541 kg to grams.

541,000 g

400

A block of wood has mass 10 g and dimensions 5 cm × 6 cm × 0.5 cm. What is its density in g/cm³?

0.666… g/cm3.
With appropriate sig figs (about 2 sf), Answer: 0.67 g/cm³

500

Divide (9.6×107) by (3.2×103)and give your answer in scientific notation.

3.0×104

500

A measurement reads 0.00030700 g. How many significant figures are in this number?

5

500

(16.83)÷(0.000307)=?

54,830 → round to 3 sf → 5.48×104

500

Convert 23 micrograms to hectograms.

2.3×10−7 Hg

500

A zebra  runs 0.6 km in 0.02 hours , while a horse runs 650 m in 54 s. Which animal is faster, and by how much?

The horse is faster by about 3.7 m/s. 

The horse is faster by about 13 km/h.