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.
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.
(c) Three million, two hundred and four thousand and sixteen.
- (c) Three million, two hundred and four thousand and sixteen.
- 3 millions, 2 hundred thousands, no ten thousands, 4 thousands, no hundreds, 1 ten and 6 units.
- 3,000,000 + 200,000 + 4,000 + 10 + 6.