Place value to millions
Objective. Read, write and partition whole numbers up to ten million.
- 1. Learn
- 2. Worked example
- 3. Practice
- 4. Feedback
- 5. Continue
Learn: the key idea
Place value means the value of a digit depends on its column. Columns go ones, tens, hundreds, thousands, ten thousands, hundred thousands and millions, and each column is worth ten times the one to its right. To read a big number, split it into groups of three from the right: 3 406 000 is three million, four hundred and six thousand. Partitioning shows each digit's value: 3 406 000 = 3 000 000 + 400 000 + 6 000. A zero holds an empty column: 3 406 000 has 4 hundred thousands but no ten thousands.
Worked example
Write the value of the digit 4 in 3 406 000 and partition the number into place-value parts.
- 1Split into groups of three from the right: 3 | 406 | 000.
- 2The 3 is in the millions column, the 4 in the hundred thousands column and the 6 in the thousands column.
- 3So the 4 is worth 400 000.
- 43 406 000 = 3 000 000 + 400 000 + 6 000.
Answer: 400 000; 3 000 000 + 400 000 + 6 000
Concept mastery
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Practice
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Start practisingCommon mistake. Pupils often drop the zeros that hold empty columns, writing four million and fifty thousand as 450 000 instead of 4 050 000. Write the number in a place-value table first so every column has a digit.
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