Mathematics
Number Representation & Place Value
Conceptual
10–11 yrs
Patterns with Powers of Ten
10的幂次规律
Description
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)
Mastery Evidence
- 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 your child 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?
Prerequisites 2
Place Value × 10 and ÷ 10
10的幂的指数表示法建立在×10关系的基础上
Multiplying and dividing
乘除以10的幂时末尾零的规律建立在熟练掌握乘除以10/100/1000的基础上
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No follow-up topics