Counting by numbers

What are Counting Numbers? Definition, Chart, Examples, Facts

What is Counting?

In math, ‘to count’ or counting can be defined as the act of determining the quantity or the total number of objects in a set or a group. In other words, to count means to say numbers in order while assigning a value to an item in group, basis one to one correspondence. Counting numbers are used to count objects.

Here, for instance, we have used counting numbers to determine the number of animals or birds. The table also shows how we can use our fingers to count objects to ten.

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Counting Numbers

Numbers that we use to count things are called counting numbers. They are also called natural numbers. These numbers start from 1 and are infinite. That is why no one knows where to end these numbers. Zero is not a natural number since we cannot count zero. 1, 2, 3, 4, and so on are examples of counting numbers.

Counting is a topic that we have learned in kindergarten. Each one of you must have different ways to count. Some understand it by counting natural numbers on their fingers and others by counting things around them. But one thing common among us is that the first thing we all learn in math is counting. These numbers are the basis of all mathematics.

Where do we use these numbers?

We use counting in performing different activities in our day-to-day life. For instance,

Counting money
Counting balloons in a bunch
Counting students in a class

Representing numbers with finger arrangements allows children to learn and incorporate the fundamental properties of natural numbers. The figure below shows how we can use our fingers to represent the numbers from one to ten.

Related Worksheets

Number Names of Numbers 1–20

The following table gives the number names of numbers from 1 to 20.

Different Ways to Count Numbers

We can count the numbers forward. For example,

1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

You can count numbers backward. For example,

10, 9, 8, 7, 6, 5, 4, 3, 2, 1.

You can use skip counting as well.

Skip counting is the method of counting forward by numbers other than 1.

Counting by 2: 2, 4, 6…

Counting by 3: 3, 6, 9…

Counting by 4: 4, 8, 12…

How to Count?

Counting On – We can count on by saying by numbers while touching on each object once.

Here, for instance, we can count the buttons by touching each button once.

Counting on also requires us to count forward. Forward counting is counting by adding one more, every time.

Here, we forward count while putting the buttons in the jar, to find the number of the buttons.

Counting Back – We can count down or back by saying by numbers in reverse order while touching on each object once.

Here, for instance, we can reverse count the buttons by touching each button once.

Counting back requires us to count backwards. Backward counting is counting by removing one, every time.

Here, we reverse count while taking out the buttons from the jar, to find the number of the buttons.

Fun Facts

1. Did you know that numbers were invented by people using their fingers.

2. Do you know what comes after a million, billion and trillion? A quadrillion, quintillion, sextillion, septillion, octillion, nonillion, decillion and undecillion.

Let’s sing!

One for the sun shining in the sky.

Two for the little birds that fly by.

Three for the tiny seashells in the sand.

Four for the sticks I hold in my hand.

Five for the petals of the flower I see.

Six for the bees as busy as can be.

Seven for the colors in the rainbow.

Eight for the snails crawling so slow.

Nine for the squirrels climbing up the tree.

Ten for the little puppies on a running spree.

Let’s do it!

Ask your children to observe and count things around them, for instance, the numbers of flowers they see, the number of crayons they have, the number of pages of the book he has read. Further to explain more explicitly,

you can use counters such as buttons, jelly beans to help them count up and count back and ask them to write addition and subtraction facts or sentences.

Solved Examples

Example 1. Write the missing numbers between 30 and 40.

31, 32, 33, ___, 35, ___, 37, ___, ___

Solution: Number between 30 and 40 are: 31, 32, 33, 34, 35, 36, 37, 38, 39

Therefore, the missing numbers are 34, 36, 38, and 39.

Example 2. Count by 2s and find the missing numbers.

8, __, 12, __, 16

Solution: Skip counting is counting forward by numbers other than 1. So, skip counting by 2s from 8 to 16. We get

8, 10, 12, 14, and 16.

Therefore, the missing numbers are 10 and 14.

Example 3. Write the even counting numbers less than 10.

Solution: Even numbers are divisible by 2.

Counting numbers less than 10: 1, 2, 3, 4, 5, 6, 7, 8, 9

So, even numbers less than 10: 2, 4, 6, 8

Example 4. In the figure below, observe the pattern and find the number of dots in the fourth box.

Solution:

Number of dots in the first box $= 3$

Number of dots in the second box $= 4$

Number of dots in the third box $= 5$

So, the number of dots in the fourth box must be 6.

Practice Problems

How many apples are there in the figure?

Correct answer is: 8
There are eight apples.

What is the sum of the two missing numbers?

Correct answer is: 10
The given figure, between 1 and 10, 3 and 7, are missing. So, the sum of the missing numbers is $3 + 7 or 10$.

Which of the following is not a counting number?

10008

Correct answer is: 0
Natural numbers start with 1; zero is not a counting number.

Find the missing number.

$55, \underline{} , \underline{}, 58$

34, 36

23, 26

56, 57

39, 40

Correct answer is: 56, 57
55, 56, 57, 58

Frequently Asked Questions

Are negative numbers also counting numbers?

No. We don’t use negative numbers for counting.

What is the importance of counting numbers on fingers?

Counting on fingers is a constructive strategy to teach students math concepts. Representing numbers with finger arrangements allows children to learn and incorporate the fundamental properties of natural numbers.

What is the difference between counting numbers and whole numbers?

Numbers that we can use to count things are called counting numbers, for example 1, 2, 3, and so on. They are also called natural numbers.

All counting numbers along with zero are the whole numbers.

What is the importance of counting?

Counting makes us understand that numbers have an order. In real life, we can relate numbers to quantities. Counting is used to find the number of elements of a finite set of objects by continually increasing a counter by 1 in some order. Counting is used to demonstrate knowledge of the number system.

Numbers 1 to 100 Counting Chart | English for Kids | Kids

You can scroll this chart sideways on mobile (and on desktop if necessary). It will print on an A4 sheet or as PDF. See also our 1-100 counting chart wallposter (download FREE).

1 one	2 two	3 three	4 four	5 five	6 six	7 seven	8 eight	9 nine	10 ten
11 eleven	12 twelve	13 thirteen	14 fourteen	15 fifteen	16 sixteen	17 seventeen	18 eighteen	19 nineteen	20 twenty
21 twenty- one	22 twenty- two	23 twenty- three	24 twenty- four	25 twenty- five	26 twenty- six	27 twenty- seven	28 twenty- eight	29 twenty- nine	30 thirty
31 thirty- one	32 thirty- two	33 thirty- three	34 thirty- four	35 thirty- five	36 thirty- six	37 thirty- seven	38 thirty- eight	39 thirty- nine	40 forty
41 forty- one	42 forty- two	43 forty- three	44 forty- four	45 forty- five	46 forty- six	47 forty- seven	48 forty- eight	49 forty- nine	50 fifty
51 fifty- one	52 fifty- two	53 fifty- three	54 fifty- four	55 fifty- five	56 fifty- six	57 fifty- seven	58 fifty- eight	59 fifty- nine	60 sixty
61 sixty- one	62 sixty- two	63 sixty- three	64 sixty- four	65 sixty- five	66 sixty- six	67 sixty- seven	68 sixty- eight	69 sixty- nine	70 seventy
71 seventy- one	72 seventy- two	73 seventy- three	74 seventy- four	75 seventy- five	76 seventy- six	77 seventy- seven	78 seventy- eight	79 seventy- nine	80 eighty
81 eighty- one	82 eighty- two	83 eighty- three	84 eighty- four	85 eighty- five	86 eighty- six	87 eighty- seven	88 eighty- eight	89 eighty- nine	90 ninety
91 ninety- one	92 ninety- two	93 ninety- three	94 ninety- four	95 ninety- five	96 ninety- six	97 ninety- seven	98 ninety- eight	99 ninety- nine	100 one hundred

Numbering (numbers) of teeth in dentistry - a scheme for adults, how to count teeth by numbers

Sometimes we hear - Oh, I put the implant in place of the six, Again we didn’t sleep all night, the kid is restless horror, oh, these fives. My youngest is already 7, and his fours have not changed yet. Well, about the "eights" - wisdom teeth are generally legendary, they caused so much suffering to their owners.

But that's nothing. You can also hear this: The doctor said that I need to remove 42 teeth, and the card says 5+. In general, nothing is clear.

In order to understand what we are talking about and to easily support a conversation on a dental topic, our dentist Elizaveta Mikhailovna and I decided to let you in on the secrets of dental numbering 💫

Content

Teeth names
How they are numbered
Numbering in children
Viola International System
Haderup system
Zsigmondy-Palmer 9 system0012
Universal Numeric Letter System

Teeth names

Incisors are 4 front teeth. There are central ones - “ones”, and side ones - “twos”. It is the incisors that we use when we need to bite something (or bite someone) 😂. They have a thin and sharp edge, a flat shape and only one root. And they get all the attention when they compliment your smile.

Fangs — we inherited from predatory ancestors. It is with the help of fangs that you will try to bite off a piece of tough meat. They go right behind the cutters-twos, so it is logical that they are called "triples". The fangs are cone-shaped, with a sharp edge and the longest roots. We have only one canine on each side of the jaw.

Premolars - just behind the canines on each side we have a couple of slightly larger dental units. They are chewing and may have 1-2 roots. From the center there are 4 and 5 in a row.

Molars are the farthest and widest teeth with developed roots. These are the so-called "sixes", "sevens" and "eights". These are powerful teeth with 2-3 roots and a wide chewing surface.

On the jaw it looks like this:

The farther from the center, the higher the chewing load and, accordingly, more roots.

Scheme and principle of numbering of teeth

There are several numbering systems, and all of them are designed to designate each dental unit as accurately and clearly as possible. To accurately determine the coordinates, you need to know several parameters:

tooth serial number - in different systems, the reference point will be different;
which jaw he is;
which side - right or left.

Differences in dental unit numbers of adults and children

With permanent teeth, everything is more or less clear - there are 32 of them. Although more and more often modern people do not count several, or even all "eights". Due to the decrease in chewing load, they gradually become rudiments. Sometimes they “sit” in the jaw and do not show outward (partially or completely), but more and more often there are cases when there are not even rudiments of third molars in the jaw.

But the situation with children's teeth is more complicated, since you need to designate all of them - both dairy and permanent, even if they have not yet grown. It seems, why number them if you can't see from them? Alas, it happens that the teeth begin to deteriorate even before eruption or grow incorrectly. In this case, you need to monitor their condition. And it is much more convenient to do this if each dental unit has its own designation.

Numbering systems

Viola International System

It is thanks to this system that you can hear a funny phrase, like: “Oh, something the doctor found a hole in my 44th tooth (right four from the bottom). Or my child’s doctor said that the 33rd tooth (lower left three) is growing unevenly!”. This system is also used by the doctors of the Light Dentistry clinic.

The designation of the dental unit consists of 2 digits:

Segment number;
tooth no.

Reference point is the center of the jaw.

Permanent dentition numbering:

1 - top right;
2 - left top;
3 - bottom left;
4 - bottom right.

Milk bite segment numbers:

5 - upper right;
6 - upper left;
7 - lower left;
8 - lower right.

The principle is as follows: the numbering of the segments starts from the top right and moves counterclockwise.

Haderup system

Numbering of dental units starts from the center. The jaw is indicated by + or − signs. It is not difficult to guess which sign indicates which jaw - upper or lower. Determining the right or left side is also easy. On which side + or - - on that side the dental unit is located.

Milk bite numbering is based on the same principle, only there is one difference - the digital designation will start from 0. For example, the second upper incisor on the left will be designated +02, and the lower canine on the right - 03−.

Zsigmondy-Palmer system (square-digital system)

This system is user-friendly and understandable, which is why it is still used in orthodontics and maxillofacial surgery.

Just like in the Haderup system, dental units are numbered starting from the center of the jaw, only their location is shown by a corner. If the angle is at the bottom, the tooth is on the upper jaw, at the top, on the lower jaw.

The milk bite is numbered in Roman numerals, and the permanent bite is numbered in the usual Arabic numerals.

Universal Numeric Letter System (American)

The system is more complex, as it reflects not only the location of the dental unit, but also its appearance (incisor - I, canine - C, premolar - P and molar - M).

The numbering is different from all previous systems - it does not start from the center, but from the third molar. Sometimes a segment number is added, as in a two-digit system.

Milk teeth are designated by Latin letters. The starting point is the upper right third molar, and then we move clockwise.

8 Jul 2021

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Painting by numbers: DIY masterpieces

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Drawing by numbers refers to one of the types of creativity. In addition, this is a very amazing and entertaining process that will allow you to retire and plunge headlong into the fascinating world of creativity. It is very easy to create masterpieces with your own hands at the present time. It is worth noting that a picture created by oneself can not only decorate the interior of your home, but also become a real exclusive gift. Even if you do not have sufficient skills in drawing, painting by numbers will help you, which will give you the opportunity to spend cozy hours alone with art.

With the help of modern paintings by numbers, you can easily feel like a real Picasso or Van Gogh, because drawing on such canvases is as easy as shelling pears. Each piece of canvas is already numbered by area. And all you need is just to paint the areas with paints, the numbers of which correspond to the jars. In simple words, the secret of painting by numbers is very simple: the area of the canvas is numbered according to the areas for coloring which there is a can of paint with the corresponding number. Acrylic paints are used for drawing, which should be applied in the following sequence:

Initially, you should find a jar of paint, the indicated number on which will exactly match the number of the area on the canvas;
then you will need to paint over the entire area with this color and so on with all other fragments.

Canvas sizes can be completely different, so in this case you can focus on personal preferences and select the parameters of the picture to your taste. Also, the advantages of painting by numbers can be confidently considered that you will not need to mix or carry out any other manipulations with paints in order to get the desired shade. Each jar that will be in the set already exactly matches the desired color. Moreover, the ideal range of colors is selected for the canvas by real experts, which guarantees an impeccable effect and, accordingly, a high-quality result of your work.

Many modern manufacturers offer many paintings by numbers. In addition, you can buy paintings on the websites of sellers who sell various products for creativity. Thanks to this, everyone can turn their hobby into a useful habit, because you can decorate your home, office or apartment with paintings. And given the variety of options, you can choose a pattern for any interior: from retro to high-tech style. The main thing is to take into account some of the nuances that will help during creativity. For example, for more complex paintings, it is better to use several brushes, since to create it you will work with a large number of paints, which experts do not recommend mixing.

For those who decided to try their hand at painting by numbers for the first time, of course it is better not to experiment and use only the material that will be in the set. But experts advise more experienced artists to additionally purchase a set of acrylic paints. This will enhance the color and apply the paint in several layers at once.

Another point, acrylic paints dry very quickly, so it's best to open the paints directly before using them.