Counting numbers are the set of numbers that we use to learn how to count. 1, 2, 3, 4, 5, and so on.
They are also called natural numbers—maybe since they feel natural to us because they are naturally the first numbers we learn.
Counting with our fingers
The easiest way to count is to touch the appropriate number of fingers in front of your face. This is how most kids count. Touching fingers 1, 2, 3, and so on. To count by hand Touching fingers 1, 2, 3, 4, 5, and so on, always adding a finger (five fingers together) and subtracting the previous number. The number of fingers you touch represents the number of items you want to count. Counting with pencil and paper Counting by hand If you want to count by hand, you can also count in the number of dots of the same size and put them on a grid. (Our brain is predisposed to learn large numbers in this manner.) The grid can also be used to make a horizontal or vertical line.
The number line
In maths and in physics, a number is the set of positive or negative real numbers. It can be represented as the interval from one to infinity. The first number we learn to count is 1. One is the number zero. If we count using ten fingers, we can only count from one to ten. That is, we can't count from one to eleven or one to twenty. For example, if I am counting from one to ten, I cannot count to 11. Forgetfulness Why do we forget numbers? Numbers are very important in both maths and science. They are used to measure everything we see and understand. If we forget a number, it might mean we do not understand a concept. For example, say we are counting to one million. When we come to 100,000, we would forget that we are trying to count to one million.
Decimals
Since we’ve all been taught in school about decimal points, we might think they should be the next logical step for our arithmetic practice. But they are actually not used that often and should only be used when you really need them. How do we learn to use decimals? If we want to multiply, we divide the two numbers we want to multiply by each other. We divide by the unit of measurement we are using. So for example, to multiply by 4, we would divide by 16. That way we know the quotient will be 4 and the remainder will be 4. We use decimals for how we add together numbers. For example, how many cups of flour did we have to mix with a certain amount of water for the dough to be the same size as the end product? We can divide by 3 to multiply the amount by 3.
Fractions
When it comes to doing math, you can group numbers into two categories: fractions and whole numbers. Fractions are numbers that are arranged like this: 1/2 + 1/3 + 1/4 + 1/5 + ... So an example of a fraction is: 4/5 + 2/5. If we think of a whole number as 2, 4, 8, 16, and so on, then the above sequence of numbers would look like this: 2/5 + 4/5 + ... There are 3 questions that we need to answer to learn how to count fractions: How many times does the number have to be counted? How many fractions are there? What are the same size fractions? There are 3 ways to answer these questions: Fractions are one type of number. This means that we are only able to count the numbers that are one fraction or less. If we already knew how to count, we wouldn't have to count.
Ones, Tens, Hundreds, Thousands, and so on
How To Count From 1 To 100: A Step-by-Step Guide
Counting numbers are the set of numbers that we use to learn how to count. 1, 2, 3, 4, 5, and so on. They are also called natural numbers—maybe since they feel natural to us because they are naturally the first numbers we learn. Sometimes they are also referred to as positive integers
Counting with our fingers
Some people are more comfortable with numbers and counting with their fingers than others. It doesn’t matter which method is the best one. Just count. You will get better at it as you practice. For starters, put all the ten fingers together on a flat surface. The flat surface should be some small circle or square. In this case, the flat surface can be any other flat surface around. It is just a simple circle with the fingers placed as we see them in the picture below: We have two numbers here: ten fingers, and 12 (fist sized) circles. We will count how many circles we can see on each finger. If the number of circles is greater than ten, we need to add ten to the number of circles we can see on each finger. This step is called “increasing.
The number line
The term “number line” refers to the place we have in our brains where numbers come into existence. A number line is the place in our brains where we start to think about numbers. They come into existence by a process called learning. When we get a new number we go into a state of learning that allows us to think about that number and place it into a number line. Learning happens in three phases: Imagine: This is when we begin to imagine a number line that is a sequence of numbers. Imagine is a mental state that only we can enter. We imagine a number line starting at a given number and progressing from left to right. Recalling: This is the phase where we imagine that number line again. We use the mental image to recall the number line.
Decimals
Decimals are more complex than natural numbers, though they are not as complicated as percent or floating point numbers. Decimal numbers are the difference between two numbers. 1.5 is the difference between 2 and 3. “In fact,” writes math professor Neil Gershenfeld, “if you extend the definition to be any negative number, then 1.5 has a decimal representation as 0.1.” Decimals do not have the number of digits in their decimal representation that natural numbers do, so each digit on a decimal number is one less than the preceding digit. So the digit one is 0, the digit two is 0.5, and so on. You can convert a decimal number into a natural number by dividing it into tenths, which we’ll cover next. Decimals are used to express quantities, such as inches, meters, or miles.
Fractions
The term fraction is used for a number which has the form a/b/c/d, where a, b, and c are positive integers, and d is a non-negative integer. It is sometimes also called a ratio, a fraction of a whole number. Fractions are useful to learn because they are useful to measure—most things that you buy in the supermarket and at restaurants are in some way fractions. For example, 1/3 is 2/3 of a whole number, so 1/3 would be 1.75, or 1/3/2/4/6. In other words, a 1/3 part of a whole number. Less Than and Equal To Less Than and Equal To are two more kinds of fraction. Less Than Less Than is an integer with a denominator which is a negative number. For example, -1/2 = -1/3, or 1/3/4/5/7. It is called a negative fraction. For example, 1/2 is 2/3 less than a whole number.
Ones, Tens, Hundreds, Thousands, and so on
Counting things in the real world is a bit trickier though. How are we to count real numbers? How many grains of rice? Or one dinosaur? Or six people? Well, the way to count things is: you count the items in the room you are in. Or if you are a hotel worker, the number of towels you have to clean. Or when you are waiting for a bus: the number of people waiting with you. But that is not so easy! We have to think really hard about how to count when we don’t have numbers we already know. Here’s a step-by-step guide on counting numbers from 1 to 100. 1. Get used to counting numbers Start with the numbers 1 and 2. Count them for a while, just count them, trying to get them right. 2. Then say the numbers 1 to 10, just say them one by one, or as many as you can. 3.
