NUMBER

Place Value To Millions

Learn the reliable method for place value to millions, then apply it to 11+ exam-style questions.

1 · WHAT YOU NEED TO KNOW

The idea

Place value tells us the value of a digit from its position in a number.

Picture itGroup digits by their whole-number place
2 · THE METHOD

Follow these steps

  1. Separate the number into groups of three digits.
  2. Locate the digit and name its column.
  3. Write its value by replacing all other digits with zero.
3 · WORKED EXAMPLES

See the method in action

Example 1

In 4,336,241, what is the value of the digit in the hundred-thousands column?

  1. The digit 3 is in the hundred-thousands column, so its value is 3 × 100,000 = 300000.
Answer: 300000
Example 2

A digit 2 moves from the hundred-thousands column to the thousands column. By how much does its value decrease?

  1. First identify the relevant place-value or representation relationship.
  2. Then its value changes from 200,000 to 2,000; subtract to get 198,000.
  3. Finally, check the result against every value or position stated in the question.
Answer: 198,000
4 · ELEVENSPRINT TIP

A useful shortcut

Write its value by replacing all other digits with zero.

5 · COMMON MISTAKES

Watch out for these

6 · TRY IT YOURSELF

Three fresh questions

Ready to check the method? You will get three fresh, validated questions.