Place value of each digit
Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
Typical age: 8–9 years
“If your child sees the number 5,347, can they tell you the value of each digit — that the 5 means 5,000, the 3 means 300, the 4 means 40, and the 7 means 7?”
0 / 3 mastered
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- 1000 More or LessREQUIRED
Requires four-digit place-value understanding
- Numbers to 10,000REQUIRED
Representing four-digit numbers requires knowing their place value
- Roman numerals to 100
Understanding why place value matters contrasts with Roman numeral system
- Comparing Large NumbersREQUIRED
Comparing four-digit numbers requires four-digit PV
- Adding and subtracting (age 8+)REQUIRED
Four-digit operations require four-digit place-value understanding
- Rounding to 10, 100, 1000REQUIRED
Rounding to nearest 1000 requires four-digit PV understanding
- Mental multiplication and division
Place-value knowledge supports mental strategies like 40 × 6
- Place Value × 10 PatternREQUIRED
Four-digit place value is prerequisite to understanding ×10 relationship between places
- Place Value Problem-SolvingREQUIRED
PV problems require four-digit place-value understanding