Place value is a positional system of notation in which the position of a number with respect to a number of digits to determine the value of the digit.
Example:
Represent 564 in place value form?
Here, there are 3 digits
5 is in hundred place
6 is in tenths place
4 is in first place
Properties of Place Value
1) Place value helps in identifying the digits place in given number
2) Representation of number to word form will be easy
3) Can easily solve problems of picture to donate in digits form and giving place value.
Place value can be obtained from:
1) Place value of decimal form
2) Place value by adding
3) Place value from words
Place Value of Decimal Form
Decimal is a number that is written with a decimal point in it. The value of the digits is based on the number ten. The decimal numeration system is based on base 10.
Note: In decimal the place value depends on the base system.
Example
In the decimal (base ten) system, the value of the digits is based on the number ten.
Properties
1) Each position in a decimal number has a value that is a power of 10.
2) A decimal point separates the non-negative powers of 10
3) Positive exponents on left and negative exponents on right.
Place Value by Adding
Place value by adding means representing the value in expanded form. Depending on the digit the place value is added.
Note: If they are 3 digits then
1st value is hundred place
2nd value in tens place
3rd value in ones place
Example:
Represent 234 in place value form
Here they are 3 digits
2is in hundred place last or right digit is the ones' place
3 is in tens place
4 in tens placePlace Value from Words
Place Value from Words
Place value in words means representing value in word form i.e. Hundreds, tens and ones etc.
The first digit is called the hundreds' place. It tells you how many sets of one hundred are in the number..
The middle digit is the tens' place. It tells you how many sets of tens are at that place.
Last or right digit is the ones' place.
Example
Represent 234 in word form
2 are in hundred place, it tells us they are 2 hundreds in the first place.
3 is in tens place, it tells us they are 3 tens in the second place.
4 is in ones place, it tells they are 4 ones in third place
Identifying the Place Value
Place value can be identified by number of digits; these values which are identified can be expanded and represented in word form and many other ways.
Digits can be represented based on the number:
Suppose if they are 4 digits then
1st digit start with thousand
2nd digit-hundreds
3rd digit-tens
4th digit –ones