[Maths Class Notes] on Value Pdf for Exam

In mathematics, the value may refer to a variety of closely connected notions.

In general, any particular mathematical entity can have a mathematical meaning. In elementary mathematics, this is most commonly a number – for example, a real number likeor an integer such as 42. The value of a vector or constant is the integer or other mathematical entity attributed to it. The value of the mathematical equation is the result of the formula defined in this expression when the variables and constants in the expression are given values.

The value of a function, given the value(s) assigned to its argument(s), is the number assumed by the function for that argument value. If the variable, expression, or function just assumes real values, it is called real-value. In the same way, a complex-valued variable, expression, or function just assumes complex values.

Place Value

Per digit in a number has a position value in math. Place value can be defined as the value expressed by a digit in a number based on its location in a number. A place value map will help us find and compare the place value of the digits in numbers across millions. The place value of the digit increases by 10 times as we step left on the place value map and decreases by 10. The place value of the digit increases by 10 times as we move left on the place value map and decreases by 10 times as we move right.

Properties of Place Value:

• The place value of each one-digit integer is the same as and equal to its face value.

• In a two-digit number, the place value of the ten-digit digit is 10 times the digit.

• In the number 562, digit 2 is at one’s place, 6 is at ten’s place, and the digit 5 is at hundred’s place.

• It is also the common rule that the digit has its place value as the product of the digit and the place value of the digit.

Face Value

The value of the face in Maths is the value of the digit in a number. We know any number has a digit. Numbers can be one-digit, two-digit, three-digit, or more than three-digit. There are countless quantities here. Each digit has its place value as well as its face value. The value of the digit in a number is the value of the digit itself. This value is the same anywhere it’s put in a number.

What is the Value of a Number?

Each digit has a fixed place called its spot.

● Each digit has a value, based on its location, called the place value of the digit.

● The face value of the digit at some position in the given number is the value of the digit itself.

● The Number Value of the digit = (the face value of the digit) × (value of the place)

Solved Examples

1. What is the Value of 4 in 65437?

Ans:

4 is in hundred’s place. Therefore to find the value of 4 in 65437 we will use the following formula:

Number Value of the digit = (the face value of the digit) × (value of the place)

                    = 4 x 100

Ans =400

2. What is the Value of 6 in 4,967,313?

Ans:

6 is at the ten-thousands place. Therefore to find the value of 6 in 4,967,313 we will use the following formula:

Number Value of the digit = (the face value of the digit) × (value of the place)

                    = 6 x 10,000

Ans = 60,000

3. Find The Value of 4 in 3,453,125?

Ans:

4 is at the hundred-thousands place. Therefore to find the value of 4 in 3,453,125 we will use the following formula:

Number Value of the digit = (the face value of the digit) × (value of the place)

                    = 4 x 1,00,000

Ans = 4,00,000

4. What is the Place Value and Value of 2 in 4,354,521?

Ans:

2 is at ten’s place. Therefore to find the value of 2 in 4,354,521 we will use the following formula:

Number Value of the digit = (the face value of the digit) × (value of the place)

                    = 2 x 10

Ans = 20