Ungrouped Data: When a data collection is vast, a frequency distribution table is frequently used to arrange the data. A frequency distribution table provides the...
Ungrouped Data: Know Formulas, Definition, & Applications
December 11, 2024All the Numbers consist of digits from \(1\) to \(9,\) including \(0.\) Numbers are in the form of language shared by all mankind, doesn’t matter if they are from India or the USA, male or female, Hindu or Muslim. It is used for counting money, calculating the distance between two places, time, date, year, and weather.
We use numbers in school and work, counting money, measurements, phone numbers, password on our phones, locks, reading, page numbers, etc. Therefore it is an essential concept that has to be learnt at a very young age. It is essential for students to be thorough with this topic. Continue reading to know more.
Numbers have a very important role in mathematics as well as in real life. A number is used to count, measure and label.
Example: \(1, 7, -5\) etc.
The method of expressing numbers by writing a mathematical notation for representing the numbers of a given set by using the numbers or symbols in a consistent manner is called number system.
All numbers that is not fraction or that do not have the decimal place in them are known as integers.
\(Z{\rm{ }} = {\rm{ }}\left\{ { – \infty \ldots \ldots . – 3,{\rm{ }} – 2,{\rm{ }} – 1,{\rm{ }}0,{\rm{ }}1,{\rm{ }}2,\;3 \ldots \ldots \ldots + \infty } \right\}.\) Positive Integers \((1, 2, 3, 4…)\) are the set of all positive integers, negative Integers \((-1, -2, -3…)\) are the set of all the negative integers. \(0\) is neither the positive nor the negative integer.
Starting from our childhood, we are using numbers like \(1, 2, 3, 3, 4, …\) to count and calculate. When counting objects in a group, we start with \(1\) and then \(2, 3, 4, 5,\) and so on. Counting objects in this manner is a normal process. As a result, \(1,2,3,4,….\) are known as natural numbers.
However, fractional numbers like \(\frac{6}{{11}},\frac{{17}}{4},\frac{{123}}{{5048}}\) and decimal numbers like \(8.24, 33.08, 6175.560\) are not natural numbers.
By adding \(1\) to any natural number, we get the next natural number. There is no existence of greatest or last natural number. So, the first natural number is \(1,\) and there is no last or greatest natural number.
The natural numbers, along with the number zero \(0\) form the collection of whole numbers. That is \(0, 1, 2, 3, …\) are called the whole numbers.
Thus, a whole number is either zero or a natural number.
A number that is exactly divisible by the number 2, is called an even number. For example: \(34, 68, 104,\) etc. Even numbers end with the digits \(0, 2, 4, 6\) or \(8\) always.
A number that is not exactly divisible by the number \(2,\) is called an odd number. For example: \(31, 79, 157,\) etc. All the odd numbers end with the digits \(1, 3, 5, 7\) or \(9.\)
The numerals \(0, 1, 2, 3, 4, ….9\) are used in writing different numbers. These numerals are of Indian origin, and they were adopted by the Arabs and spread across Europe. As a result, the system is known as Hindu-Arabic numerals. One of the early systems of numeration that is still in common use today was developed by Romans and is known as the Roman numeral system. We use the Roman numerals in different places like the numbering of different volumes or parts of books, numbers of chapters, numbers of issues of magazines, numbers on clock faces etc.
Example: \({\rm{I,}}\,{\rm{II,}}\,{\rm{III, }}….\)
The numbers between \(1\) to \(9\) are \(1, 2, 3, 4, 5, 6, 7, 8\) and \(9.\) Let us know briefly about all these numbers.
1. \(1\) can be written in word as ‘One’, and it is also called the number name of \(1\) (it is the figure form).
2. The number \(1\) is the smallest natural number.
3. It is represented by the below symbol,
4. It is the smallest positive odd number.
5. The Roman Numeral for \(1\) is \({\rm{I}}.\)
6. The picture representation of the number \(1\) is given below (one butterfly).
1. \(2\) can be written in word as ‘Two’, and it is also called the number name of \(2\) (it is the figure form).
2. It is represented by the below symbol,
3. It is an even natural number.
4. The Roman Numeral for \(2\) is \({\rm{II}}.\)
5. The picture representation of the number \(2\) is given below (two butterflies).
1. \(3\) can be written in word as ‘Three’, and it is also called the number name of \(3\) (it is the figure form).
2. It is represented by the below given symbol,
3. It is a single-digit odd natural number.
4. The Roman Numeral for \(3\) is \({\rm{III}}.\)
5. The picture representation of the number \(3\) is given below (three butterflies).
1. \(4\) can be written in word as ‘Four’, and it is also called the number name of \(4\) (it is the figure form).
2. It is represented by the below symbol,
3. It is an even natural number.
4. The Roman Numeral for \(4\) is \({\rm{IV}}.\)
5. The picture representation of the number \(4\) is given below (four butterflies).
1. \(5\) can be written in word as ‘Five’, and it is also called the number name of \(5\) (it is the figure form).
2. It is represented by the below symbol,
3. It is an odd natural number.
4. The Roman Numeral for \(5\) is \({\rm{V}}.\)
5. The picture representation of the number \(5\) is given below (five butterflies).
1. \(6\) can be written in word as ‘Six’, and it is also called the number name of \(6\) (it is the figure form).
2. It is represented by the below symbol,
3. It is an even natural number.
4. The Roman Numeral for \(6\) is \({\rm{VI}}.\)
5. The picture representation of the number \(6\) is given below (six butterflies).
1. \(7\) can be written in word as ‘Seven’, and it is also called the number name of \(7\) (it is the figure form).
2. It is represented by the below symbol,
3. It is a single-digit odd natural number.
4. The Roman Numeral for \(7\) is \({\rm{VII}}.\)
5. The picture representation of the number \(7\) is given below (seven butterflies).
1. \(8\) can be written in word as ‘Eight’, and it is also called the number name of \(8\) (it is the figure form).
2. It is represented by the below symbol,
3. It is a single-digit positive even natural number.
4. The Roman Numeral for \(8\) is \({\rm{VIII}}.\)
5. The picture representation of the number \(8\) is given below (eight butterflies).
1. \(9\) can be written in word as ‘Nine’, and it is also called the number name of \(9\) (it is the figure form).
2. It is represented by the below symbol,
3. It is the largest one-digit positive odd number.
4. The Roman Numeral for \(9\) is \({\rm{IX}}.\)
5. The picture representation of the number \(9\) is given below (nine butterflies).
The list of numbers from \(1\) to \(100\) is given below,
\(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) |
\(11\) | \(12\) | \(13\) | \(14\) | \(15\) | \(16\) | \(17\) | \(18\) | \(19\) | \(20\) |
\(21\) | \(22\) | \(23\) | \(24\) | \(25\) | \(26\) | \(27\) | \(28\) | \(29\) | \(30\) |
\(31\) | \(32\) | \(33\) | \(34\) | \(35\) | \(36\) | \(37\) | \(38\) | \(39\) | \(40\) |
\(41\) | \(42\) | \(43\) | \(44\) | \(45\) | \(46\) | \(47\) | \(48\) | \(49\) | \(50\) |
\(51\) | \(52\) | \(53\) | \(54\) | \(55\) | \(56\) | \(57\) | \(58\) | \(59\) | \(60\) |
\(61\) | \(62\) | \(63\) | \(64\) | \(65\) | \(66\) | \(67\) | \(68\) | \(69\) | \(70\) |
\(71\) | \(72\) | \(73\) | \(74\) | \(75\) | \(76\) | \(77\) | \(78\) | \(79\) | \(80\) |
\(81\) | \(82\) | \(83\) | \(84\) | \(85\) | \(86\) | \(87\) | \(88\) | \(89\) | \(90\) |
\(91\) | \(92\) | \(93\) | \(94\) | \(95\) | \(96\) | \(97\) | \(98\) | \(99\) | \(100\) |
In number puzzle, the numbers from \(1\) to \(9\) must be placed into a grid of cells so that each row or column contains only one of each number.
Let us see some examples of number puzzles.
Q.1. Solve the below the magic triangle
Ans: Arrange the numbers from \(1\) to \(9\) along the sides of the triangle.
Use each number only once.
Place the numbers so that there are \(4\) numbers along each side of the triangle.
Arrange the numbers so that the sum of the numbers along each side is \(17.\)
Thus,
\(1+9+5+2=17\)
\(1+6+7+3=17\)
\(2+8+4+3=17\)
Hence, the answer figure is given above.
Q.2. Find the missing number.
Ans: Read the first two rows of numbers horizontally, each as one number i.e. \(289\) and \(324.\)
The pattern is that \(17×17=289\) and \(18×18=324.\)
So it stands to reason that the bottom row will be \(19×19=361\)
Thus,
Hence, the missing number is \(1.\)
Q.1. Count and write the number of chicks present in the below picture.
Ans: By observing the above picture, we count,
There are \(6\) chicks in the given picture.
Q.2. Identify the number given below,
Ans: By observing the above number, we can recall, it is the number eight.
Q.3. Find the sum of all the odd numbers from \(1\) to \(9\) (include both \(1\) and \(9\)).
Ans: All the odd numbers from \(1\) to \(9\) are \(1, 3, 5, 7\) and \(9.\)
Now, the total \(=1+3+5+7+9=25\)
Hence, the sum of all the odd numbers from \(1\) to \(9\) is \(25.\)
Q.4. Find the sum of all the even numbers from \(1\) to \(9.\)
Ans: All the even numbers from \(1\) to \(9\) are \(2, 4, 6, 8.\)
Now, the total \(=2+4+6+8=20\)
Hence, the sum of all the even numbers from \(1\) to \(9\) is \(20.\)
Q.5. Find the perfect square numbers between \(1\) to \(9\)?
Ans: The perfect square numbers between \(1\) to \(9\) are \(1, 4\) and \(9.\)
In this article, we learnt, what is a number, about the number system, the numbers between \(1\) to \(9\) in detail, how these numbers are helpful to count the number of objects, what is the uses of these numbers, some examples of number puzzles and how to solve them, etc. It will help the student a lot in mathematics as well as in real life.
Q.1. What are numbers \(0\) to \(9\) called?
Ans: The numbers from \(0\) to \(9\) are \(0, 1, 2, 3, 4, 5, 6, 7, 8, 9.\) These numbers are called one-digit whole numbers.
Q.2. What are numbers \(1\) to \(9\) called?
Ans: The numbers from \(1\) to \(9\) are \(1, 2, 3, 4, 5, 6, 7, 8, 9.\) These numbers are called one-digit natural numbers.
Q.3. How do you count to \(9\)?
Ans: We can count with the help of our fingers. We have 10 fingers in both hands, leave one finger and count the rest of the fingers to count i.e. 9 fingers. We can count with the help of some picture or object or by striking out the lines.
Q.4. How do you skip a count by \(9\)?
Ans: The concept of skip counting by \({\rm{9’s}}\) or nines is an essential skill to learn when making the jump from counting to basic addition.
The number line for skip counting is given below,
Q.5. \(1\) to \(9\) Numbers are called?
Ans: The numbers between \(1\) to \(9\) are \(1, 2, 3, 4, 5, 6, 7, 8, 9.\) These numbers are called single-digit natural numbers.
Q.6. What is the sum of numbers \(1\) to \(9\)?
Ans: The sum of numbers from \(1\) to \(9\) is \(1+2+3+4+5+6+7+8+9=45\)
Hence, the sum of numbers from \(1\) to \(9\) is \(45.\)
We hope this article on numbers from 1 to 9 is helpful. If you are facing any issues in remembering 1 to 9 numbers, comment down below and we will help you at the earliest.