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## Place value & Face value of number

The place value of a digit in any number is the value it holds to be at that position in the number.

In any number every digit has place & face value. We will learn it in detail.

Digit:

The symbols or numerals in writing any number are called digits. We can use 0,1,2,3,4,5,6,7,8 & 9 symbols to form any number.

We can use these digits to make 2, 4 or multi digits number.

Face value:

The face value of a digit for any place in each number is the value of the digit itself. This value does not change wherever it placed in the number.

E.g. 45 – Here face value of 4 is 4 & in 5467 also face value is remain 4.

But this is not true for place value, it is depending upon the position of the digit in given number.

Place value:

We can say place value is the value represented by a digit in a number based on its position in the number.

In any number we give ones unit to the rightmost digit and the place value of a digit increases by 10 times as we move towards the left direction.

Here is a chart that explain how this value is depend upon the position of the digit in a number.

This chart shows the example of  9 digits number 394583167.

Above number we can read verbally as  “Thirty nine Crore, forty five lakhs,  eighty three thousand, one hundred and sixty seven”.

Q.1) What is the place value of digit 7 in the number  687345?

a. 70      b. 7        c. 7000      d. None of these

Ans: c. 7000

Q. 2)  What is the difference between the place value of of digit 4 in the number 3,54,648?

a. 4000       b. 404       c. 3670        d. 3960

Ans: d. 3960

Explanation: Here digit 4 is at two places one is at thousands place and other is at tens place.

The difference in their  value will be, 4000-40 = 3960.

Q. 3) If instead of writing the number one hundred and five a student write 1005. By how much is the number wrong?

a. 500       b.  1000       c. 900    d. None of these

Ans. c. 900

Explanation: The actual number should have been 105 but by mistake it is written 1005 therefore we subtract 1005 – 105 = 900.

Q. 4) What is the face value of  digit 5 in number 34567?

a. 50        b. 500       c. 5       d. None of these

Ans : c. 5

Q. 5) Express “Five Lakhs three thousand seven hundred and forty three” in numerals.

a. 503oo43     b. 503743   c. 543774     d. 5307043

Ans: b. 503743

To study more find below links:

1. Vedic Mathematics Tricks

2. Magic Square