**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.

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**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.

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**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”.

**Frequently asked Question:**

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**

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