Three- and four-digit numbers · Usually met around P2
Large numbers and rounding
Mind the place; an empty place gets a 0.
How to do it
Method
Mind the place; an empty place gets a 0
3 thousands 4 tens: 3000 + 40 = 3040
Another way
Place-value chart
Thousands 3, hundreds 0, tens 4, ones 0 → 3040
In full
A four-digit number's places, left to right, are thousands, hundreds, tens and ones. A digit is worth what its place says: in 5286 the 2 is in the hundreds and stands for 200; the 5 is in the thousands and stands for 5000. Building a number from its places, write 0 in any place that's empty: 3 thousands 4 tens = 3040, not 34. Ten hundreds make a thousand. 100 more than 4590: add 1 to the hundreds → 4690; 10 more: the tens' 9 and 1 make ten, which carries into the hundreds → 4600. Or use a place-value chart, writing each digit in its column before reading the number: the same answer.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
The tens digit of 2378 = ?
Show the answer and working
Answer: The tens digit of 2378 = 7
2378: from the ones, ones 8, tens 7, so the tens digit is 7
Example 2
In 7785, the 8 stands for ?
Show the answer and working
Answer: In 7785, the 8 stands for 80
In 7785, the 8 is in the tens place, so it stands for 8 tens: 8 × 10 = 80
Example 3
In 3453, the 4 stands for ?
Show the answer and working
Answer: In 3453, the 4 stands for 400
In 3453, the 4 is in the hundreds place, so it stands for 4 hundreds: 4 × 100 = 400