Loading course…
Big Numbers and Powers of Ten
Created by Shaunak Ghosh
You will learn to read, build, and break apart whole numbers up to the hundred-millions place. You will also learn what exponents mean, and use place value patterns to make division and multiplication with tens and zeros easier.
Requirements
- Read and write whole numbers to at least 10,000
- Basic multiplication facts (0–9) and understanding of “groups of”
- Basic division as sharing into equal groups
- Comfort using commas in large numbers
What you'll learn
- Read and write whole numbers using correct place value language through hundred-millions
- Explain how zeros act as placeholders so digits keep their correct places
- Find the value of a digit by combining the digit with its place value
Learning path
7 modules • Each builds on the previous one
1
Standard, word, and expanded forms
Learn to write the same number in standard form, word form, and expanded form. Use period grouping (ones, thousands, millions) and remember zero can be a placeholder.
2 videos10 min
2
Place value words to hundred millions
Use place value names (ones through hundred millions) to build (compose) and break apart (decompose) numbers. Practice writing numbers from spoken form and trading units (like millions to hundred thousands).
1 video5 min
3
Find the value of a digit
Learn the difference between face value (the digit) and place value (what it’s worth). Find the value of any digit by multiplying the digit by its place value.
1 video10 min
4
Powers of 10 and exponents
Learn what an exponent means using only base 10. Connect 10^n to repeated multiplication (10 × 10 × 10…) and avoid the mistake of thinking it means 10 × n.
2 videos9 min
5
Divide numbers ending with zeros
Learn to divide when both numbers end in zeros by canceling common zeros (common factors of 10). Use fact families to finish the division, like 2,100 ÷ 70 and 8,000 ÷ 400.
3 videos13 min
6
Multiply using powers of 10 patterns
Multiply whole numbers by 10, 100, 1,000 up to 1,000,000 and notice the pattern of shifting digits and adding zeros. Multiply a single digit by a power of 10 (like 6 × 40,000) and solve missing factor puzzles.
2 videos8 min
7
Mixed practice and common mistakes
Do a short mixed set of problems using all skills: forms, place value words, digit value, exponents, dividing with zeros, and multiplying by powers of 10. Check for the most common Grade 5 mistakes and fix them.
1 video8 min
Start Learning
Begin your learning journey
Modules7
Duration59 min
Science-backed learning
In-video quizzes and scaffolded content to maximize retention.
Key concepts
Place Value Names And Periods (Ones, Thousands, Millions)Zeros As Placeholders In Whole NumbersFinding What A Digit Is Worth Using Place Value