What is number value?
Every digit in a number has a value. The value depends on the digit's place. This is called its digit value. For numbers up to 100 000 the places are: ones, tens, hundreds, thousands, and ten thousands.
Key idea
ten thousands = 10 000 · thousands = 1 000 · hundreds = 100 · tens = 10 · ones = 1. Multiply the digit by its place value.
Finding a digit's value
Look at where the digit sits, then multiply it by that place value. The same digit can be worth very different amounts depending on its place.
Worked example
In 34 682, the digit 4 is in the thousands place. Its value is 4 × 1 000 = 4 000. The digit 6 is in the hundreds place, so its value is 6 × 100 = 600, and the digit 3 is worth 3 × 10 000 = 30 000.
Remember
- Say the place name first, then work out the value.
- The value of any digit 0 is always 0.
- The same digit can have different values in different places.