Number Systems is a numerical worth utilized for counting and estimating objects, and for performing number-crunching computations. It is a procedure for composing for communicating numbers. It gives a unique portrayal to each number and addresses the number-crunching and mathematical type of the number. It permits us to work math tasks like expansion, deduction, increase, and division.

A condition is an explanation that associates two mathematical articulations of similar qualities with the ‘=’ sign. For instance: In condition 9x + 4 = 7, 9x + 4 is the left-hand side articulation and 7 is the right-hand side articulation associated with the ‘=’ sign.

## What is a Number?

A word or image that demonstrates an amount is known as a number. The numbers 2, 4, 6, and so on are even numbers and 1, 3, 5, and so on are odd numbers. A number is a worth made by the consolidation of whole numbers. These numbers are utilized to address mathematical amounts. A whole number is a sign from a bunch of 10 characters going from 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Any mix of numbers addresses a number. The size of a Number relies upon the count of digits that are utilized for its development. For Example: 126, 128, 0.356, – 12, 78, 94 and so forth

### Kinds of Numbers

Numbers are of different kinds relying on the examples of digits that are utilized for their creation. Different images and rules are additionally applied to Numbers which characterizes them into a wide range of types:

**Whole numbers**: Integers are the assortment of Whole Numbers in addition to the negative upsides of the Natural Numbers. Whole numbers do exclude division numbers for example they can’t be written in a/b structure. The scope of Integers is from the Infinity at the Negative end and Infinity at the Positive end, including zero. Whole numbers are addressed by the image Z. Whole numbers are those numbers whose fragmentary part is 0 like – 3, – 2, 1, 0, 10, 100.

**Regular Numbers**: Natural Numbers will be numbers that reach from 1 to boundlessness. These numbers are otherwise called Positive Numbers or Counting Numbers. We can likewise address Natural numbers by the image N. Every one of the numbers which are more noteworthy than 0 are normal numbers, Counting numbers like 1, 2, 3, 4, 5, 6.

**Entire Numbers**: Whole Numbers are equivalent to Natural Numbers, yet they likewise incorporate ‘zero’. Entire numbers can likewise be addressed by the image W. Entire numbers are for the most part normal numbers and 0 (zero).

**Indivisible Numbers and Composite Numbers**: All those numbers which are having just two unmistakable elements, the actual number and 1, are called indivisible numbers. Every one of the numbers which are not Prime Numbers are named as Composite Numbers aside from 0. Zero is nor prime nor a composite number. Some indivisible numbers are 2, 3, 5, 53, 59, 97, and 191. All numbers more prominent than 1 are composite numbers. Some composite numbers are 4, 6, 9, 15, 16, and 100.

Parts: Fractions are the numbers that are written as a/b, where, a has a place with Whole numbers and b has a place with Natural Numbers, i.e., b can never be 0. The upper piece of the portion for example an is named as a Numerator though the lower part for example b is known as the Denominator. Model: – 1/5, 0.25, 2/5, 18/4,…

**Objective Numbers**: Rational numbers are the numbers that can be addressed in the part structure for example a/b. Here, an and b both are numbers and b≠0. Every one of the divisions are reasonable numbers yet not every one of the objective numbers are parts. Model: – 2/5, 0.54, 1/5, 13/4,…

Nonsensical Numbers: Irrational numbers are the numbers that can’t be addressed as portions for example they can not be composed as a/b. Model: √2, √3, √.434343, π,…

**Genuine and Imaginary Numbers**: Real numbers will be numbers that can be addressed in decimal structure. These numbers incorporate entire numbers, numbers, parts, and so forth Every one of the numbers have a place with Real numbers yet every one of the genuine numbers don’t have a place with the numbers. Fanciful Numbers are on the whole those numbers that are not genuine numbers. These numbers when squared will bring about a negative number. The √-1 is addressed as I. These numbers are likewise called complex numbers. Model: √-2, √-5,…

### What is Meant by the Numeral System?

In Mathematics, a numeral framework is characterized as a composing framework to show the number in an agreeing way. Often utilized numeral framework is the Hindu-Arabic numeral framework. It is in India, and presently it is utilized from one side of the planet to the other. It is considered as a base 10 framework which we call the “decimal” framework. The worth of every digit in a number is clarified with the assistance of a spot esteem outline.

The positional upsides of Indian and International numeral frameworks are clarified beneath.

### Indian Numeral System

Allow us to consider a number, say 335. Notice that the whole number 3 is involved twice in this number. The two of them have various qualities. We separate them by checking their place esteem, which is characterized as the mathematical worth of a digit based on its situation in a number. In this way, the spot worth of the furthest left 3 is Hundreds while the one in the middle is Tens.

Discussing the Indian numeral framework, the spot upsides of digits go in the request for Ones, Tens, Hundreds, Thousands, Ten Thousand, Lakhs, Ten Lakhs, Crores, etc.

In the numbers 10, 23, 45, and 678 the place values of each digit are:

678:

8– Ones

7– Tens

6– Hundreds

45:

5– Thousands

4– Ten Thousand

23:

3– Lakhs

2– Ten Lakhs

10:

0– Crores

1– Ten Crores

The relationship between them is:

1 hundred = 10 tens

1 thousand = 10 hundreds = 100 tens

1 lakh = 100 thousands = 1000 hundreds

1 crore = 100 lakhs = 10,000 thousands

Crores |
Crores |
Lakhs |
Lakhs |
Thousands |
Thousands |
Ones |
Ones |
Ones |

Ten Crores
(TC) (10,00,00,000) |
Crores
(C) (1,00,00,000) |
Ten Lakhs
(TL) (10,00,000) |
Lakhs
(L) (1,00,000) |
Ten Thousands
(TTh) (10,000) |
Thousands
(Th) (1000) |
Hundreds
(H) (100) |
Tens
(T) (10) |
Ones
(O) (1) |

**Example 1: How many hundreds are there in 1,000**

**Solution: **

There are 10 hundreds in 1000

As there are 3 zeros in thousand.

1 thousand can be written as,

1 thousand = 10(100)

1 thousand = 1000

Thus, the number of hundreds in 1000 is 10.

**Example 2: How Many Zeros in 1 Crore?**

**Solution:**

There are 7 zeros in 1 crore.

We know, 1 crore = 100 lakhs, and 1 lakh is equivalent to 1,00,000

As there are 5 zeros in lakhs.

1 crore can be written as

1 crore = 100 (100000)

1 crore = 1,00,00,000.

Thus, the number of zeros in 1 crore is 7.

**Example 3: How many hundreds are there in 1,00,000**

**Solution: **

There are 1000 hundreds in 1 lakh

As, there are 5 zeros in lakhs.

1 lakh can be written as,

1 lakh = 1000(100)

1 lakh = 1,00,000

Thus, the number of hundreds in 1 lakh is 1000.

### Worldwide Numeral System

The spot upsides of digits in a number go in the succession of Ones, Tens, Hundreds, Thousands, Ten Thousand, Hundred Thousands, Millions, Ten Million, etc, in the worldwide numeral framework.

In the number 12,345,678 the place values of each digit are:

8 – Ones

7 – Tens

6 – Hundreds

5 – Thousands

4 – Ten Thousand

3 – Hundred Thousands

2 – Millions

1 – Ten Million

The relations between them are:

1 hundred = 10 tens

1 thousand = 10 hundreds = 100 tens

1 million = 1000 thousand

1 billion = 1000 millions

Millions |
Millions |
Millions |
Thousands |
Thousands |
Thousands |
Ones |
Ones |
Ones |

Hundred
Millions (HM) (100,000,000) |
Ten
Millions (TM) (10,000,000) |
Millions
(M) (1,000,000) |
Hundred
Thousands (HTh) (100,000) |
Ten
Thousands (TTh) (10,000) |
Thousands
(Th) (1000) |
Hundreds
(H) (100) |
Tens
(T) (100) |
Ones
(O) (1) |

**Example: How Many Zeros in a Million?**

**Answer:**

There are 6 zeros in a million. (i.e., 1 million = 1, 000, 000)

We can say 1 million = 1000 thousand.

We know that, 1 thousand = 1000.

As there are 3 zeros in a thousand,

1 million is written as

1 million = 1000 (1000)

1 million = 1, 000, 000

Hence, the number of zeros in a million is 6.

**Comparison Between Indian and International Numeral System**

Comparing the two numeral systems we observe that:

100 thousand = 1 lakh

1 million = 10 lakhs

10 millions = 1 crore

100 millions= 10 crores

**Sample Questions**

**Question 1: How many Tens are there in 100**

**Solution:**

There are 10 tens in 100

As, there are 2 zeros in hundred.

1 hundred can be written as,

1 hundred = 10(10)

1 hundred = 100

Thus, the number of tens in 100 is 10.

**Question 2: How many Tens are there in 1000**

**Solution:**

There are 100 tens in 1000

As, there are 3 zeros in thousand.

1 thousand can be written as,

1 thousand = 100(10)

1 thousand = 1000

Thus, the number of tens in 1000 is 100.

**Question 3: How many Ones are there in 10.**

**Solution:**

There are 10 ones in 10

As, there is 1 zero in ten.

ten can be written as,

ten = 10(1)

ten = 10

Thus, the number of ones in 10 is 10.

**Question 4: How many Lakhs are there in 10,000,000**

**Solution:**

There are 100 lakhs in 10,000,000

As, there are 7 zeros in a crore.

one crore can be written as,

crore = 100(1,00,000)

crore = 10,000,000

Thus, the number of lakhs in 10,000,000 is 100.

**Also Read**: **GDB (Step by Step Introduction)**