Introduction to rules in terminating decimals:
Since our numbering system decimals are fraction having their denominators as 10 or powers of 10, it is called a decimal system. Dec em in Latin means ten.
Here we will learn about numbers that are less than 1.
The numbers written in decimal form are called decimal numbers (or) simply decimals.
A decimal has two parts:
(1) whole number part and
(2) decimal part
Example:
In 473.619, the whole number part = 437 and the decimal part = .619
Rules in Terminating Decimals- Basic Definitions
Decimal point:
The dot that we use to separate the whole number part from the decimal part is called the decimal point.
Decimal places:
In a decimal, the places occupied by the digits after the decimal point are called decimal places.
For examples: 1) 7.37 has two decimal places.
2) 2.176 has three decimal places.
Decimal fractions:
A fraction whose denominator is 10 or a power of 10 is called decimal fractions
To round off a decimal:
Step 1: Look for the number of decimal point we would like to keep.
Step 2: Check the digit after the decimal point we would like to keep.
Step 3: Drop the digit if it is less than 5.
Step 4: If the digit is 5 or more, add 1 to the previous number before dropping
the extra digit
I am planning to write more post on What is an Irrational Number?, List of Prime Numbers to 100. Keep checking my blog.
Rules in Terminating Decimals-some Definitions
Definition of Terminating Decimal:
The word “terminate” means “end”. A decimal that ends is a terminating decimal. Inother words, if a fraction can be converted into a decimal completely, then such a decimal number is called a terminating decimal.
In the process of converting a fraction into a decimal by the division method, if we obtain a zero remainder after a certain number of steps, then the decimal obtained is a terminating decimal.
example for rules in terminating decimals:
Consider the following fractions namely 3/4 5/8, 1/8, 3/2,.by using convert fractions to decimals
Non-terminating decimals:
If a fraction cannot be converted into a decimal completely, then the division does not come to an end. Such a decimal number is called a Non-terminating decimal.
Example: ? = 22/7 = 3.412 . . . is a non-terminating decimal.
Recurring decimals:
Non-terminating decimals in which some digits are repeated continuously are called recurring decimals.
Example: 1.09090909. . . is a recurring decimal. It can be written as 1. 09 with ‘bar’ over the first and last digits of the repeated numbers.
Since our numbering system decimals are fraction having their denominators as 10 or powers of 10, it is called a decimal system. Dec em in Latin means ten.
Here we will learn about numbers that are less than 1.
The numbers written in decimal form are called decimal numbers (or) simply decimals.
A decimal has two parts:
(1) whole number part and
(2) decimal part
Example:
In 473.619, the whole number part = 437 and the decimal part = .619
Rules in Terminating Decimals- Basic Definitions
Decimal point:
The dot that we use to separate the whole number part from the decimal part is called the decimal point.
Decimal places:
In a decimal, the places occupied by the digits after the decimal point are called decimal places.
For examples: 1) 7.37 has two decimal places.
2) 2.176 has three decimal places.
Decimal fractions:
A fraction whose denominator is 10 or a power of 10 is called decimal fractions
To round off a decimal:
Step 1: Look for the number of decimal point we would like to keep.
Step 2: Check the digit after the decimal point we would like to keep.
Step 3: Drop the digit if it is less than 5.
Step 4: If the digit is 5 or more, add 1 to the previous number before dropping
the extra digit
I am planning to write more post on What is an Irrational Number?, List of Prime Numbers to 100. Keep checking my blog.
Rules in Terminating Decimals-some Definitions
Definition of Terminating Decimal:
The word “terminate” means “end”. A decimal that ends is a terminating decimal. Inother words, if a fraction can be converted into a decimal completely, then such a decimal number is called a terminating decimal.
In the process of converting a fraction into a decimal by the division method, if we obtain a zero remainder after a certain number of steps, then the decimal obtained is a terminating decimal.
example for rules in terminating decimals:
Consider the following fractions namely 3/4 5/8, 1/8, 3/2,.by using convert fractions to decimals
Non-terminating decimals:
If a fraction cannot be converted into a decimal completely, then the division does not come to an end. Such a decimal number is called a Non-terminating decimal.
Example: ? = 22/7 = 3.412 . . . is a non-terminating decimal.
Recurring decimals:
Non-terminating decimals in which some digits are repeated continuously are called recurring decimals.
Example: 1.09090909. . . is a recurring decimal. It can be written as 1. 09 with ‘bar’ over the first and last digits of the repeated numbers.
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