Table of Contents
What Are Numbers?
A mathematical value used to indicate an amount is called a number. A number is a mathematical notion that is used for counting, measuring, and labelling. As a result, mathematics is based on numbers.
For example, Here are 4 bananas and 1 apple.
Mathematics/Numbers in Daily Life
We see the use of numbers everywhere. The day, month, and year of your birth are represented by three digits on your birthday.
All of our possessions—houses, bank accounts, cars, trucks, buses, and airplanes—have identifying numbers.
Numbers are used in the measurement. Temperature, weight, length, capacity, speed, distance, area, volume, and other variables are all measured using numbers.
Types Of Numbers
|Types Of Numbers||Examples:|
|(a). Natural Numbers |
We count things starting at 1. Natural numbers or counting numbers are the names given to the numbers 1, 2, 3, 4, etc.
The lowest natural number is one (1).
|(b). Whole numbers.|
When representing the number of objects in a collection that is empty, we use Zero (0) to symbolize nothing.
The counting numbers or natural numbers plus zero make up whole numbers.
|(c). Integers |
To display numbers that are less than zero (‘0’), we utilize negative numbers. We create a new set of numbers by combining them with whole numbers. …, -3, -2,-1, 0, 1, 2, 3, … Integers are the name for these numbers.
A fraction with a non-zero denominator can be used to represent rational numbers.
All decimal and integer numbers are rational numbers.
An irrational number cannot be represented by a fraction. Natural numbers are irrational numbers if the precise values of their square, cube, and other roots cannot be determined.
|V5, 3411, 1.4142135…|
|(f). Real |
Real numbers contain both rational and irrational numbers. Iine expresses a real number using the possible expressions for that number.
In addition to the above-listed numbers, there are more numbers as well, such as even and odd numbers, prime numbers, and composite numbers. The definition of these is as follows:
|Types Of Numbers||Examples:|
Even numbers are those that finish in 0, 2, 4, 6, or 8.
Even integers can be divided by two equally.
|Example, 14, 202, 500,|
Example, 244 2 = 122
Odd numbers are those that finish in 1, 3, 5, 7, or 9.
Odd numbers do not divide evenly by two. They usually leave something behind
|Example, 11, 213, 6005,|
For example, 245 ÷ 2 gives 122 as the quotient and 1 as the remainder
Prime numbers are those that are only divisible by one and themselves.
A prime number only has itself and one other component.
|Example: 1, 2, 3, 5, 7, 11, 13,|
17, 19, 23, 29, …
|Composite Numbers |
Composite numbers are those that may be divided both by one and by any other number.
The components of a composite number exceed two.
|Example: 4, 6, 8,9, 12, 14,|
15, 16, 200, 1122
Comparing Numbers / How To Compare Numbers?
Numbers can be compared by two methods, one is the largest among others and the other is the smallest among other numbers.
(i) 92, 392, 4456, 89742
89742 is the Largest Number.
(ii) 1902, 1920, 9201, 9021, 9210
1902 is the Smallest Number.
Identify the greatest and lowest numbers in each row as rapidly as possible.
Find Largest And Smallest Numbers 382, 4972, 18, 59785, 750
The largest number is 59785, while the smallest is 18.
Find Largest And Smallest Numbers 1473, 89423, 100, 5000, 310
The greatest and lowest numbers are 100 and 89423 respectively.
To find the answer, we simply counted the digits. The greatest number has the most thousands, while the lowest number is just in the hundreds or tens.
Currently, how do 4875 and 3542 compare?
This isn’t that difficult either. These two numbers each contain the same number of digits. Each number is thousands. The digit in the thousands place is higher in 4875 than it is in 3542, though.
What should we do if the digits in the hundreds place of the two numbers are also the same?
Also compare 4875 and 4879, as well as 4875 and 4889.
Therefore, 4875 is bigger than 3542.
|Find the greatest and the smallest numbers.||Largest Number||Smallest Number|
|(a) 4536, 4892, 4370, 4452.||4892||4370|
|(b) 15623, 15073, 15189, 15800.||15800||15073|
|(c) 25286, 25245, 25270, 25210.||25286||25210|
|(d) 6895, 23787, 24569, 24659||24659||6895|
How many numbers are you able to create?
Say we have the numbers 7, 8, 3, and 5 as our four digits. With these digits, we wish to make numerous 4-digit numbers while ensuring that no digit is repeated. Therefore, whereas 7735 is unacceptable, 7835 is. How many 4-digit numbers can you think of?
What is the highest number you can get? What is the lowest number?
The greatest and lowest numbers are, respectively, 8753 and 3578.
Ascending order: Ascending order is the placement of items in order of size.
Descending order is the arranging of items from largest to smallest.
Frequently Asked Questions:
Is the number zero even?
Zero divided by two results in a remainder of zero and a quotient of zero. Zero is therefore an even number.
Can rational numbers have negative values?
Yes, Positive, zero, and negative rational numbers are the three categories under which rational numbers fall.
Arrange the following numbers in ascending order :
847, 9754, 8320, 57138802
Ascending order: 571, 847, 8320, 9754.