Public learning track
Place Value and Powers of Ten to Billions
4th Grade · Math · Open Global Math
7 lessons
Goal
Understand the base-ten place value system from ones through billions and explain how multiplying or dividing by ten shifts digit values.
Featured Diagrams
Understanding Place Value Relationships in Multi-Digit Numbers
7 lessons
0 of 7 done
- 1Understanding Place Value Relationships in Multi-Digit NumbersUp nextStart
- 2Multiplying Whole Numbers by 10, 100, and 1,000PremiumNot started yet
- 3Dividing Multiples of 10 and 100 Using Place Value FactsNot started yet
- 4Patterns in Zeros When Multiplying by Powers of 10Not started yet
- 5Understanding the Millions and Billions PeriodsNot started yet
- 6Value Versus Place Value in Ten-Digit NumbersNot started yet
- 7Exploring the One-Tenth Relationship Across PlacesNot started yet
Standards Covered
- OGM.5.NBT.1Open Global Math Standards 2026™ · Math · Level 5 / Grade 4 (Age 9) · Grade 4Recognize, read, write, compare, and order multi-digit whole numbers up to billions using base-ten numerals, number names, and expanded notation; demonstrate that a digit in any place represents 10 times the value of the place to its right and 1/10 of the value of the place to its left.
- OGM.5.NBT.4Open Global Math Standards 2026™ · Math · Level 5 / Grade 4 (Age 9) · Grade 4Multiply whole numbers of up to 4 digits by a 1-digit number and 2-digit numbers by 2-digit numbers (including powers of 10 and perfect squares through 15 × 15) using area models, arrays, partial products, distributive property, mental calculation shortcuts, and the standard algorithm.
- OGM.5.NBT.5Open Global Math Standards 2026™ · Math · Level 5 / Grade 4 (Age 9) · Grade 4Find whole-number quotients and remainders with up to four-digit dividends and one- or two-digit divisors using area models, partial quotients, the division algorithm (Euclidean division: a = bq + r), and interpret remainders in mathematical and real-world contexts.
Curriculum Framework
4th Grade · Math · Open Global Math
1
7 lessons
Place Value and Powers of Ten to Billions
Understand the base-ten place value system from ones through billions and explain how multiplying or dividing by ten shifts digit values.
2
7 lessons
Reading, Writing, and Comparing Numbers to Billions
Read, write in standard, word, and expanded forms, compare, and order multi-digit whole numbers through billions.
3
8 lessons
Rounding and Estimation in Financial Contexts
Round multi-digit whole numbers to any place and use compatible numbers to estimate and check reasonableness in everyday financial scenarios.
4
8 lessons
Multi-Digit Addition and Subtraction Algorithms
Fluently add and subtract multi-digit whole numbers using column algorithms, mental strategies, regrouping across zeros, and digital verification.
5
7 lessons
Multiplication Properties, Models, and Mental Strategies
Multiply multi-digit numbers using area models, arrays, the distributive property, perfect squares up to 15 × 15, and mental calculation shortcuts.
6
7 lessons
Multi-Digit Multiplication Algorithms and Applications
Execute the standard multiplication algorithm fluently for up to 4-digit by 1-digit and 2-digit by 2-digit numbers and solve complex word problems.
7
6 lessons
Division Concepts, Models, and Partial Quotients
Divide multi-digit dividends by one- and two-digit divisors using area models, arrays, partial quotients, and Euclidean division.
8
6 lessons
Multi-Digit Division Algorithms and Remainders
Fluently perform long division with up to four-digit dividends and two-digit divisors, and interpret remainders in real-world contexts.
9
6 lessons
Roman Numerals and Historical Number Systems
Read, write, and convert Roman numerals up to 3,000, and explore the historical emergence of zero, place value, and unified measurement systems.