Loading course…
Decimal Places and Powers of Ten
Created by Shaunak Ghosh
You will learn how decimal place values are connected, and how each step left means 10 times as much and each step right means one tenth as much. Then you will use exponents to understand powers of 10, and practice multiplying and dividing by 10, 100, 1,000, and more without mixing up the direction or the zeros.
Requirements
- Read whole numbers to 999
- Know what a decimal point is
- Basic multiplication and division facts
- Understand “one tenth” as a fraction idea
What you'll learn
- Name each place from hundreds through thousandths, and state the value of a digit based on its place.
- Explain and use the rule: one place left is 10 times as much, and one place right is one tenth as much.
- Write and interpret one tenth as 1/10 and as 0.1, and recognize that trailing zeros don’t change a decimal’s value.
Learning path
4 modules • Each builds on the previous one
1
Place values to thousandths place
Learn how each digit’s value depends on its position (hundreds, tens, ones, tenths, hundredths, thousandths). Use the rule: one place left is 10 times bigger; one place right is 1/10 as big.
3 videos12 min
2
Ten times and one tenth
Practice the place-value relationship using decimals: each place left is 10 times as much, and each place right is 1/10 as much. Connect 1/10 (one tenth) to the decimal 0.1, and read “times as much” as multiplication.
1 video4 min
3
Multiply by powers of 10
Learn what powers of 10 mean using exponents (like 10^3 = 1,000). Multiply whole numbers and decimals by 10^1 to 10^5 by shifting digits left the correct number of places and using zeros as placeholders when needed.
2 videos7 min
4
Divide by powers of 10
Divide whole numbers and decimals by 10^1 to 10^5 by shifting digits right the correct number of places. Use the implied decimal point in whole numbers (like 5 = 5.) and add zeros as placeholders to show the answer correctly (like 0.005).
2 videos7 min
Start Learning
Begin your learning journey
Modules4
Duration30 min
Science-backed learning
In-video quizzes and scaffolded content to maximize retention.
Key concepts
Place Values From Hundreds To ThousandthsThe 10× And 1/10 Relationship Between Adjacent PlacesOne Tenth As 1/10 And 0.1, And Placeholder Zeros