Question

 Which is greater 3.3 or 3.300?

Answer 1

Hint: In this question, we first need to know about the decimal number system. Then, look at the place values in the decimal number system. On comparing the place values in both the given numbers then we can tell about the relation between them.

Complete step by step answer:
FACE VALUE AND PLACE VALUE OF THE DIGITS:
In a numeral, the face value of the digit is the value.
In a numerical, the place value of a digit changes according to the change of its place.
The decimal number system is the standard system for denoting integer and non-integer numbers.
Decimal numbers can be represented as 3.14 where the dot is called as the decimal separator.
"Decimal" may also refer specifically to the digits after the decimal separator.
The place value of the digits after decimal separator are indicated as follows:
The first place after the decimal separator is called tenths place.
The second place after the decimal separator is called hundredths place.
The third place after the decimal separator is called thousandths place and so on.
Now, let us consider the given numbers 3.3 and 3.300.
Here, the one's place in both the numbers is 3 and the tenths place in both numbers is also 3.
The hundredths and thousandths place in both the numbers is also equal.
Hence, 3.3 = 3.300

Note:
Identifying the place value of the given digits and then comparing the place value of every digit in both the numbers is one of the crucial steps. As no representation of numbers in any certain place value means that the digit present there is nothing but 0 is the deciding factor in this particular question.
Changing any one of the digits in any of the place values of the given two numbers completely changes the relation between the two numbers.
For example if we consider 3.301 and 3.300 :
Here, the one's digit in both the numbers is 3 and the tenths place in both the numbers is also 3.
The hundredths digit in both the numbers is equal and is 0. Whereas, the thousandths digit in the first number is one and in the second number is 0.
Hence, 3.301 > 3.300.