Place value of each digit
Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
Ce que l'enfant saura faire ensuite
- State the value of each digit in a four-digit number (e.g. in 7,345 the 7 represents 7 thousands)
- Partition a four-digit number into thousands, hundreds, tens, and ones
- Compose a four-digit number from given place-value parts (e.g. 3000 + 400 + 50 + 2 = 3,452)
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A four-digit number has four spots for its digits. From left to right, the spots are thousands, hundreds, tens, and ones. Each spot gives its digit a different value.
Look at 5,347. The 5 is in the thousands spot, so it means 5,000. The 3 is in the hundreds spot, so it means 300. The 4 is in the tens spot, so it means 40. The 7 is in the ones spot, so it just means 7.
The same digit can mean different things. A 3 in the thousands spot is worth 3,000. A 3 in the tens spot is only worth 30. Always check the spot before you say the value.
Where a digit sits tells you its value: thousands, hundreds, tens, or ones.
À lire aussi
Whole numbers in expanded form review
Expanded form writes a number by adding the value of each digit. Use a place value chart: thousands, hundreds, tens, ones. For 4,317, the 4 is worth 4000, the 3 is worth 300, the 1 is worth 10, and the 7 is worth 7. Add them: 4000 + 300 + 10 + 7. Reading works backwards too: 2000 + 500 + 60 + 8 builds 2,568. Zeros matter: in 8,402 the tens place holds 0, so the split is 8000 + 400 + 0 + 2.
Whole number place value review
Place value charts order digits from ones upward: ones, tens, hundreds, thousands, and beyond. In 7,654,321 each digit has its seat: 7 millions, 6 hundred thousands, 5 ten thousands, 4 thousands, 3 hundreds, 2 tens, 1 one. The digit farthest right is always ones. Each step left is ten times bigger. That is why the 4 in 2,486 means 4 hundreds while the 4 in 48 means 4 tens: same digit, different seat, different value.
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