Unit Conversions
Scientific Notation Basics
Operations with Scientific Notation
SI Units & Prefixes
Practice Problems
100

Convert 0.0032 meters into millimeters.

What is 3.2mm

100

Write 47,200 in scientific notation.

What is 4.72 × 10^4

100

Multiply: (2 × 10^3) × (3 × 10^2).

what is 6 × 10^5

100

What SI base unit is used for mass?

What is kilogram (kg) 

100

A meter stick shows a length of 0.75 m. How many centimeters is this?

75 cm

200

Convert 5.6 × 10^3 grams into kilograms.

What is 5.6 kg 

200

Write 0.000081 as scientific notation.

What is 8.1 × 10^-5 

200

Divide: (9 × 10^-4) ÷ (3 × 10^-2)

What is  3 × 10^-2

200

Convert 0.02 kilograms to grams.

What is 20 g

200

Three masses are listed: 2500 g, 2.5 kg, and 0.0025 Mg. Which of these represent the same mass?

 0.0025mg

300

A lab measurement is 2.5 × 10^-3 kilometers. Express this distance in meters.

What is  2.5 m

300

Express 3.6 × 10^4 as a standard decimal.

What is 36,000

300

Add: (4.5 × 10^3) + (3.2 × 10^2). Give answer in scientific notation.

What is 4.82 × 10^3 

300

List the SI prefix meaning for nano-, micro-, and kilo- with their powers of ten.

what is nano- = 10^-9; micro- = 10^-6; kilo- = 10^3

300

Divide the two numbers and write the result in scientific notation: (7.0 × 10^2) ÷ (3.0 × 10^1)

What is 2.333... × 10^1. 

400

Convert 45 microseconds to seconds and express in scientific notation.

What is 4.5 × 10^-5 s

400

A star’s mass is 1.989 × 10^30 kg. Write this value in words and explain what the exponent indicates.

What is one point nine eight nine times ten to the thirtieth kilograms.  

400

 Multiply and express in correct scientific notation: (6.2 × 10^5) × (4.8 × 10^-3)

what is 2.976 × 10^3.

400

A battery’s charge is measured in coulombs. Identify the SI base or derived unit for electric current and relate it to coulombs.

What is
1 A=1 C/s

400

 A beaker holds 0.00045 m^3 of water. Express this volume in liters using scientific notation.

What is 4.5 × 10^-1 L

500

A rectangular sample is 0.00072 m by 3.4 × 10^-2 m. Calculate the area in square meters and give your answer in scientific notation.

What is 2.45 × 10^-5 

500

Explain why 0.0 is not valid in normalized scientific notation and give the normalized scientific notation for 6000.

0.0 is not valid normalized scientific notation because normalized form requires one nonzero digit before the decimal point. 6000 = 6.0 × 10^3

500

((2.5 × 10^6) ÷ (5 × 10^-2)) + (1.2 × 10^4). Give final answer in scientific notation.

What is  5.00 × 10^7 

500

A measured volume is 3.2 L. Convert to cubic meters (m^3) and express in scientific notation.

What is 3.2 × 10^-3 m^3

500

 A sample has density 3.2 × 10^3 kg/m^3 and volume 4.0 × 10^-6 m^3. Find the mass in kilograms and express your answer in scientific notation.

What is 1.28 × 10^-2 kg