Numbers to ten million

For grown-ups: this lesson in words

Year 6 · Maths

Numbers to ten million: I can read, order and round numbers up to ten million, and say what each digit is worth.

1. Here is 3,452,000. Its digits sit in columns: millions, hundred thousands, ten thousands, thousands, hundreds, tens and ones.

   The 3 is in the millions column, so it is worth 3,000,000. The 4 is worth 400,000.

   The 5 is worth 50,000 and the 2 is worth 2,000. The zeros are worth nothing, but they hold their places.

   3,452,000 = 3,000,000 + 400,000 + 50,000 + 2,000

   Picture: A place value chart showing 3,452,000: 3 millions, 4 hundred thousands, 5 ten thousands, 2 thousands, 0 hundreds, 0 tens and 0 ones. It is split into 3,000,000, 400,000, 50,000 and 2,000.

2. Your turn: Here is 6,281,000. What is the digit 8 worth?

   Picture: A place value chart showing 6,281,000: 6 millions, 2 hundred thousands, 8 ten thousands, 1 thousand, 0 hundreds, 0 tens and 0 ones.

   Choose one:

   • 8,000
   • 80,000
   • 800,000

   Answer

   The answer: 80,000

   80,000. The 8 is in the ten thousands column, so it is worth 8 ten thousands: 80,000.

   Picture: A place value chart showing 6,281,000: 6 millions, 2 hundred thousands, 8 ten thousands, 1 thousand, 0 hundreds, 0 tens and 0 ones. It is split into 6,000,000, 200,000, 80,000 and 1,000.

3. Here is 2,040,000: two million and forty thousand.

   There are no hundred thousands, so a 0 holds that place. The zeros in the thousands, hundreds, tens and ones hold their places too.

   Count the digits: 2, 0, 4, 0, 0, 0, 0. Seven digits, one for each of the seven columns.

   Every column needs a digit. When a column is empty, write 0. That zero is a place holder.

   Picture: A place value chart showing 2,040,000: 2 millions, 0 hundred thousands, 4 ten thousands, 0 thousands, 0 hundreds, 0 tens and 0 ones.