Place Value Examples

What's the place value of the digit 8 in the following number? 

45,831,210

The places values for this number, starting on the right and zooming left, are ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions, and ten-millions.

Since the 8 is six places to the left of the decimal, it's in the hundred-thousands place.

Write 3864 in expanded form.

Expanded form means we write the sum of each digit multiplied by its place value. Let's get crackin'.

The 4 is in the ones place, so it represents 4 × 1.

The 6 is in the tens place, so it represents 6 × 10.

The 8 is in the hundreds place, so it represents 8 × 100.

The 3 is in the thousands place, so it represents 3 × 1000.

Slap 'em together as a sum and we get:

(3 × 1000) + (8 × 100) + (6 × 10) + (4 × 1)

Write (9 × 10,000) + (3 × 100) + (8 × 10) + (1 × 1) in standard form.

We write each digit in its place value, but we need to watch for place values that have no digit and fill them in with a zero.

The 9 goes in the ten-thousands place, but there's no value listed for the thousands place so we put a zero there. The hundreds place has a 3, the tens place gets an 8, and the ones place gets a familiar friend, a 1. The number in standard form is 90,381.