Place Value, Face Value, Expanded Form

Place value

Look at the place value chart

Hundred Millions = 100000000

Ten Millions = 10000000

Millions = 1000000

Hundred Thousands = 100000

Ten Thousands = 10000

Thousands = 1000

Hundreds = 100

Tens = 10

Ones = 1

Consider the numbers 1892 and 9128. Arrange them in the place value chart.

Consider the number 1892

2 -> 2 is in the ones place. Its place value is 2 ones = 2

9 -> 9 is in the tens place. Its place value is 9 tens = 90

8 -> 8 is in the hundreds place. Its place value is 8 hundreds = 800

1 -> 1 is in thousands place. Its place value is 1 thousands = 1000

Consider the number 9128

8 -> The place value of 8 is 8

2 -> The place value of 2 is 20

1 -> The place value of 1 is 100

9 -> The place value of 9 is 9000

Face value

The face of a digit is the value of the number itself. It remains the same in all places.

In 9128, the face value of:

9 is 9

1 is 1

2 is 2

8 is 8

Expanded Form

The numbers 1892 and 9128 are formed by the digits 1,2,8 and 9

But these two numbers are different.Do you know why?

These are different because the digits are in different places.

So the place value of each digit in the two cases is different.

The expanded form of 1892 is 1000 + 800 + 90 + 2

The expanded form of 9128 is 9000 + 100 + 20 + 8