Place value
The place value tells you the value of each digit in a number. In our numeration system, the digits that we use are any of the symbols 0,1,2,3,4,5,6,7,8,9.
The value of a digit or each place is equal to 10 times the value of the place to its right.
Notice that each number has a place and a value, thus the name place value.
The first place on the right has a value of 1. The second place from the right has a value of 100. The third place from the right has a value of 100, and so forth...
The figure above shows only 4 places and these are the ones place, the tens place, the hundreds place, and the thousands place. The number that the figure above represents is 1111.
How would write down the number 3248 using the place value blocks?
3248 is equal to 3 thousands, 2 hundreds, 4 tens, and 8 ones.
The number 8 is in the ones place and it has a value of 8.
The number 4 is in the tens place and it has a value of 400.
The number 2 is in the hundreds place and it has a value of 200.
The number 3 is in the thousands place and it has a value of 3000.
For big numbers such 250,785,864, we show the place values with the figure below. Study the name of the places for each number starting with 4.
Looking at the number, you can see that 7 is in the hundredthousands place and 2 is in the hundredmillions place.
It also means that the value of 7 is 7 hundred thousand or 700,000 and the value of 2 is 2 hundred million or 200,000,000 .
More examples showing how to find the place value.
Examples: Find the name of the place and the value for each underlined digit
57
9 9 is in the
Ones place and it has a value of 9.
9877
9 is in the
thousands place and it has a value of 9000.
5
698746
6 is in the
hundredthousands place and it has a value 600,000.
6
7892456
7 is in the
millions place and it has a value of 7,000,000
345
21663987
2 is in the
tenmillions place and it has a value of 20,000,000
89622
12352
1 is in the
tenthousands place and it has a value of 10,000
The place value quiz below will help you see if you understood the lesson on this page.

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