Stage 1 · Number sense
Place value to 1000
Its place tells you what a digit is worth.
How to do it
Method
Its place tells you what a digit is worth
3 hundreds 4 tens 5 ones: 300 + 40 + 5 = 345
Another way
Place-value chart
Hundreds 3, tens 4, ones 5 → 345
In full
A digit's worth comes from its place: the ones digit counts ones, the tens digit tens, the hundreds digit hundreds. In 457 the 4 is in the hundreds place and stands for 400, the 5 in the tens place for 50, the 7 in the ones place for 7; 457 = 400 + 50 + 7. Building a number from its places: 3 hundreds 4 tens 5 ones puts 3, 4 and 5 in the hundreds, tens and ones → 345; with no tens, the tens place holds a 0: 3 hundreds 5 ones = 305, not 35. Ten tens make a hundred. 100 more than 457: the hundreds digit goes up 1 → 557; 10 more, the tens digit → 467; 1 less, the ones digit goes down 1 → 456. When the tens digit is 9, 10 more carries: 10 more than 395 is 405. Another way is to lay each place out with cubes, rods and flats, or on a place-value chart; the answer is the same.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
10 tens = ?
Show the answer and working
Answer: 10 tens = 100
10 tens: 10 × 10 = 100
Example 2
The tens digit of 28 = ?
Show the answer and working
Answer: The tens digit of 28 = 2
28: from the ones, ones 8, tens 2, so the tens digit is 2
Example 3
In 93, the 9 stands for ?
Show the answer and working
Answer: In 93, the 9 stands for 90
In 93, the 9 is in the tens place, so it stands for 9 tens: 9 × 10 = 90
Example 4
10 less than 133 = ?
Show the answer and working
Answer: 10 less than 133 = 123
10 less than 133: the tens digit goes down 1, 133 − 10 = 123
Practise place value to 1000 in the game →Stage 1 · Number sense · Free to start, unlimited questions, no download