# 2.1.3 Place Value

The value of a digit depends on its place, or position, in the number. Each place has a value of ten times the place to its right. Each position is referred to as a place holder.

You can see in the illustration above that the following is true:

• 1 is in the ten thousands place.
• 5 is in the thousands place.
• 7 is in the hundreds place.
• 6 is in the tens place.
• 4 is in the units place.

…  and the number is 15,764, which is spoken as “fifteen thousand, seven hundred and sixty-four.”

So you can now see why zero is so important!  We need it to show that there is nothing at a certain place holder.  Without a zero how could we write 203 or even 10?

## Activity: Writing Numbers

In your math notebook, write each number in two other ways.

(a) 92,400

### Discussion

You can use words! Each place holder has a name. Remember to count the places carefully moving from left to right.

• (a) 92,400.
• 9 ten thousands, 2 thousands, 4 hundreds.
• Ninety-two thousand, four hundred.
• 90,000 + 2,000 + 400.

(b) One hundred fourteen thousand, six hundred sixty.

• (b) One hundred fourteen thousand, six hundred sixty.
• 1 hundred thousand, 1 ten thousand, 4 thousands, 6 hundreds, and 6 tens.
• 100,000 + 10,000 + 4,000 + 600 + 60.
• 114,660.

(c) Three million, two hundred and four thousand and sixteen.