Mathematics·Number Representation & Place Value·conceptual
Patterns with Powers of Ten
Explain patterns in zeros when multiplying by powers of 10 and in decimal-point placement when multiplying/dividing by a power of 10; use whole-number exponents to denote powers of 10 (e.g. 10³ = 1000)
Suggested ages 10–11
Learning journey
Your child is mastering large numbers and decimals — reading, writing, and comparing numbers up to 10 million, understanding how decimal places work, and using negative numbers in real-world contexts like temperature and money.
Evidence of understanding
- Write 10⁴ = 10,000 and explain the exponent means four factors of 10
- Explain why 3.4 × 10² = 340 by describing the decimal shift
- Predict 2.56 × 10³ without calculating and explain the pattern
Assessment prompt
Can Patterns with Powers of Ten explain why 10² = 100 and 10³ = 1,000, and why multiplying by 10 just adds a zero — connecting the pattern of zeros to place value?
Standards alignment
No external standards are linked to this topic.