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Place Value

Place Value

We use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 to make numbers.

Where a number consists of more than one digit, the position of each digit indicates what that digit is worth. This is the place value of the digit.

Thousands Hundreds Tens Units
1000 100 10 1
3 5 2

In the number 352, the 3 is in the Hundreds column, and is worth 3 x 100 = 300.

The 5 is in the Tens column and is worth 5 x 10 = 50.

The 2 is in the Units column and is worth 2.

The whole number is worth 300 + 50 + 2 = 352.

Example 1

What is the value of the digit 7 in the number 3706?

7 appears in the hundreds column

7 x 100 = 700.

Answer: 700

Example 2

Which number has the highest value in this list of numbers?

405, 6744, 34, 9003, 703

Check the thousands values first: the 9 in the thousands column of 9003 is worth more than the 6 in the thousands column of 6744. The other numbers are all less than a thousand.

Answer: 9003

See also Multiplying and Dividing in 10s and Decimals