**Place Value and Face Value : **

In this section, we are going to learn face value and place value of a particular digit in the given number.

**Place value : **

Place value of a digit in a number is the digit multiplied by thousand or hundred or whatever place it is situated.

**For example,**

In 2__5__486, the place value of 5 is

= 5 ⋅ 1000

= 5000

Here, to get the place value of 5, we multiply 5 by 1000.

Because 5 is at thousands place.

**Face value :**

Face value of a digit in a number is the digit itself.

More clearly, face value of a digit always remains same irrespective of the position where it is located.

**For example, **

In 2__5__486, the face value of 5 is 5.

The difference between place value and face has been illustrated in the picture given below.

For better understanding, here we are going to discuss about place value in detail.

When we look at the picture given below, we can clearly understand place value.

To have better understanding of the picture, let us consider an example.

Find the place value of the digit "5" in the number 25486.

**Solution : **

As per the first branch, the location of "5" in 25486 is thousands place.

As per the second branch, the value of "5" in 25486 is 5000.

Finally, the place value of "5" in 25486 is "5000"

**Step 1 : **

Write the digit for the one you want to find the place value.

(In 25__8__6791, we want to find the place value of "8")

**Step 2 : **

Count the number of digits which come after the digit for the one you want to find the value.

(In 25__8__6791, after 8, we have four digits "6791")

**Step 3 : **

Since there are four digits (6791) after 8, take four zeros after 8.

Then we get 80000.This is the place value of 8

**Problem 1 :**

Find the face value and place value of the underlined digit in the number given below.

2538__6__9

**Solution :**

In the number above, 6 is underlined.

The face value of 6 is the same.

So, the face value of 6 is 6.

To get place value, we have to count the number of digits after 6.

There is only one digit after 6.

So, the place value of 6 is 60.

**Problem 2 :**

Find the face value and place value of the underlined digit in the number given below.

56347__2__

**Solution :**

In the number above, 2 is underlined.

The face value of 2 is the same.

So, the face value of 2 is 2.

To get place value, we have to count the number of digits after 2.

There is no more digit after 2.

So, the place value of 2 is 2.

**Problem 3 :**

Find the place value of "K" in the number given below.

Given that K = 2x and x = 3.

K78952

**Solution :**

From the given information, let us find the value of "K".

K = 2x = 2(3) = 6 ------------> K = 6

So, we have

K78952 ------------> 678952

To get place value of "K", we have to count the number of digits after 6.

There are five digits after 6.

So, the place value of "K" is 600000.

**Problem 4 :**

Find the place value of "K" in the number given below. Given that K is the even prime number.

78K346

**Solution :**

From the given information, let us find the value of "K".

K = 2** **

(Because 2 is the only even prime number we have in math)

So, we have

78K346 ------------> 782346

To get place value of "K", we have to count the number of digits after 2.

There are three digits after 2.

So, the place value of "K" is 2000.

**Problem 5 :**

Find the place value of "K" in the number given below. Given that K is a number which is less than 10 and exactly divisible by both 2 and 3.

32K58

**Solution :**

From the given information, let us find the value of "K".

K = 6

(Because 6 is the only number less than 10 and also exactly divisible by both 2 and 3)

So, we have

32K58 ------------> 32658

To get place value of "K", we have to count the number of digits after 6.

There are two digits after 6.

So, the place value of "K" is 200.

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

You can also visit our following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**