The three digits of a three-digit number
Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones
Typical age: 7–8 years
“If your child sees the number 348, can they tell you there are 3 hundreds, 4 tens, and 8 ones — rather than just reading the digits as 'three four eight'?”
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- Place Value to 1000REQUIRED
Solving PV problems requires three-digit place-value understanding
- Representing NumbersREQUIRED
Representing numbers requires place-value understanding
- Mentally adding tens to 3-digit numbersREQUIRED
Mental add/sub of tens to three-digit numbers requires three-digit PV
- Ordering Numbers to 1000REQUIRED
Comparing three-digit numbers requires three-digit place value
- Written Multiplication & Division
Two-digit × one-digit uses place-value partitioning (e.g. 23 × 4 = 20 × 4 + 3 × 4)
- Addition and subtraction within 1000REQUIRED
Three-digit operations require three-digit place-value understanding
- Shape patterns (age 7+)
Three-digit place-value patterns exercise using structure
- Multiplying by Tens
Place-value understanding supports reasoning about tens
- 10 or 100 More or LessREQUIRED
Requires three-digit place value to understand which digit changes
- Place value of each digitREQUIRED
Four-digit place value extends three-digit place value
- Mental addition and subtraction (age 7+)REQUIRED
Mental add/sub of ones to three-digit numbers requires knowing place value
- Reading and writing numbers to 1000REQUIRED
Expanded form requires understanding hundreds, tens, ones
- Mentally adding hundreds to 3-digit numbersREQUIRED
Mental add/sub of hundreds requires three-digit PV
- Addition and subtraction strategies (age 7+)REQUIRED
Explanations require place-value language and understanding