Number Concepts to 10,000
Numbers to 10,000 extend the place value system one step further: the thousands position. 4,752 = 4 thousands + 7 hundreds + 5 tens + 2 ones. Students who understand this structure can add, subtract, multiply, and estimate with four-digit numbers fluently. Multiples (skip-counting sequences) connect number sense to multiplication and anticipate divisibility.
Place value to 10,000
4752: the 4 is in the thousands place (value: 4000). The 7 is in the hundreds place (700). The 5 is in the tens place (50). The 2 is in the ones place (2). Total: 4000 + 700 + 50 + 2 = 4752. Understanding this structure allows students to add, compare, and estimate four-digit numbers with the same strategies used for three-digit numbers in Grade 3.
Multiples and counting strategies
Multiples of 4: 4, 8, 12, 16, 20... Multiples of 7: 7, 14, 21, 28... Any skip-counting sequence generates the multiples of that number. Grade 4 extends skip-counting to include all one-digit multipliers, building fluency with the multiplication tables as sequences. Flexible counting (forward and backward, from any starting point) develops number sense beyond rote recall.
Benchmarks and estimation
Benchmarks for large numbers: 1000 (one thousand), 5000 (five thousand), 10000 (ten thousand). Estimating quantities near these benchmarks: about how many people attend a school? About how many days in 10 years? These real-world applications give four-digit numbers meaning beyond the page.