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# Write number with respect to place value expansion

The digits of a number express the values of their own when the number is given in expanded form and read in words.

Write number with respect to place value expansion.

Let us recall the expanded form of a number.

The expanded form of 534 is 500 + 30 + 4

We read it as five hundred and thirty four.

Similarly,

2936 = 2000 + 900 + 30 + 6 = Two thousand nine hundred and thirty six.

The digits of a number express the values of their own when the number is given in expanded form and read in words.

In the number 5269

The place value of 5 is 5000 (five thousand)

The place value of 2 is 200 (two hundred)

The place value of 6 is 60 (sixty)

The place valued of 9 is 9 (nine)

Thus, the place value of a digit in a number is the value it holds to be at the place in the number. If 5 is at Thousandth place in a number, its value will be 5000, if it is at Hundredth place, its value will be 500, etc.

The face value of digit is the digit itself, at whatever place it may be. It is unchangeable and definite. But place value changes according to the digit‛s place.

Place value of a digit = Face value of the digit × value of the place

EXAMPLE

In the number, 2745.

Place value of 5 = 5 × 1 = 5 ones, face value of 5 is 5.

Place value of 4 = 4 × 10 = 40 = 4 tens, face value of 4 is 4.

Place value of 7 = 7 × 100 = 700 = 7 hundreds, face value of 7 is 7.

Place value of 2 = 2 × 1000 = 2000 = 2 thousands; face value of 2 is 2.

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