Number Sense

While talking about Number system, we say that the numbers have different bases, with the help of which different number system are formed. Now if we look at the Binary Number System, we say that it only consist of two numbers, so we call them Binary Numbers. The numbers 0 and 1, used in the number system explains all the numbers and their operations. Similarly we always work on the decimal number system , which means base 10 and the  numbers  0, 1, 2 , 3 , 4 , 5 , 6, 7, 8, 9  are in all 10 numbers used to farm any number in the number system.  The term Number Sense means to understand the concept of working with numbers. Number sense includes all the operations which include mathematical and logical working on the numbers.  When we talk about number sense, it says the concept of working and use of numbers at different operations, relations and comparison of the different types of numbers. We have different types of numbers and they have their own properties.  Some of the common types of numbers are:
Natural numbers
Whole Numbers
Integers (both positive and negative)
Fraction Numbers
Rational numbers
Irrational numbers
Real Numbers
Different numbers are accompanied with different set of properties.
As we talk about positive and negative numbers, we say that the positive and negative numbers combine together to form Integers.  All Integers have successors and predecessors, which we can get by adding 1 and by subtracting 1 from the given integer number. But on another hand, if we look at Natural Numbers, we say that all the Natural Numbers have successors and the predecessor but there exist a natural number 1, which does not have a predecessor.
If we search for the smallest natural number, we get 1, but on another hand we cannot find the smallest integer number.
  Number sense helps to increase the understanding and reasoning of the learners. As we start with the concept of counting, we say that at earlier stage, when the kids are learning to count and recognize the numbers, throwing dice and speaking the number of dots appearing on the dice, will surely help the children to understand the concept of recognizing the pattern of appearance of the number on the dice. Similarly they start learning the numbers and develop their number sense by counting the number of eyes, nose, hands, fingers and other parts of their body, which will develop the number sense in the beginners.
Moving further, they learn the sense of comparison of numbers so that they are able to compare which number is bigger and which is smaller. So the concept of greater and smaller numbers makes them the appearance of numbers on the scale clear and thus they are able to arrange the numbers in ascending and descending order.
At next stage of development of number sense in kids, students will learn different mathematical operations to be performed on different numbers and to get the desired results.

Topics Covered in Number Sense

  • Whole Numbers

    To define whole number, we say that the Natural Numbers with the number zero are called whole numbers. All the numbers 0, 1, 2, 3, 4 . . . up to infinite are called as whole numbers. We say that we use whole numbers to measure certain units...Read More

  • Integers

    The negative numbers, the positive numbers, and zero together form the set of integers. The set (collection) of all integers is denoted by the symbol ‘Z’.


  • Rational Numbers

    We start numbers from 1, 2, 3... & call these numbers Natural Numbers. One new member zero was added to this family of numbers & the new set of numbers was named as Whole Numbers. Then we learnt about Integers which include Whole Numbers...Read More

  • Cubes and Cube Roots

    Cube is a geometrical shape. It is a three dimensional solid figure and it’s all sides are equal.
    How many cubes of sides 1 cm make a cube of side 2cm, 3cm, 4cm etc?
    With 1 cm side we get 1 cube, with 2 cm side we get 8 cubes ea...Read More

  • Powers and Exponents

    Powers and exponents are mathematical operations which can be written as x­n, this is known as power and here ‘x’ is the base and ‘n’ the exponent. Powers and exponents are basically same things. The exponent generally appears at th...Read More

  • Squares and Square Roots

    By square of a number, we mean a number multiplied by itself. The product that we get on multiplying a number by itself is called the square of the number. Let us take a number ‘a’, its square is given by a * a & is denoted by a...Read More

  • Dividing Fractions

    Fractions are numbers that belong to category of real numbers and are generally represented as decimals. These decimals can also be converted to form p / q. Where, 'p' is the numerator and number 'q' is called as denominator...Read More

  • Fractions

    We define fractions, as the numbers which are written in the form of a / b, where both a and b are whole numbers and b <> 0. Here while writing a fraction, we say that “a” is the numerator and “b” is the denominator. While learning f...Read More

  • reducing fractions

    We have been studying the fractions from our elementary classes that they are represented in A /B form. Where, A and B or numerator and denominator respectively are the two parts of the fraction. For instance, 45 /59 represe...Read More

  • multiplying fractions

    When a number is divided into several parts then each part of number is called as fraction. In other words, fraction can be used to express part of whole. Normally fraction is represented by the ratio of two numbers. For ...Read More

  • Adding Fractions

    Any number which can be written in the form of numerator / denominator is called as fraction number. Different mathematical and logical operations can be performed on fraction numbers. Here we will learn about adding fractions...Read More

  • Comparing Fractions

    Fractions are numbers which we express in form of numerator / denominator, where both numerators and denominators are whole numbers but denominator is not equals to zero.

    Here we will learn about comparing fractions. In...Read More

  • Converting Fractions

    Fraction number is a number which is in form of p / q, here 'p' and 'q' are real numbers. We can convert fractions into other types of numbers like decimal number, percent number. Let us see the process of converting fract...Read More

  • Fractions and Equivalent Decimals
    Fraction is actually represented in form of numerator and denominator as their ratio. If we say that there is two numbers such as 5 and 6 in form of a ratio such as 5 / 6, then this form of representation is called as frac...Read More
  • Subtracting Fractions
    Fraction number is a number which is written in the form of p / q. Here 'p' and 'q' both are real numbers. Just like simple number forms we can perform different mathematical operations on fraction number. Basic mathematical operation...Read More
  • Binary Numbers
    Binary numbers are those which are represented using base 2. The two digits that we use for representing numbers in binary system are 0 and 1. Applications of binary numbers can be found in many aspects of studies of sciences. The mathematic...Read More
  • Hexadecimal Numbers
    Numbers having base value 16 are known as hexadecimal numbers. In other words we can say that it uses 16 symbols to represent any particular value. All 16 values are given as: 0 to 9 and after 9, they are represented by alphabets. We ca...Read More
  • Natural Numbers
    Natural numbers are defined as the set of numbers which lies between one and infinity including one. It can be considered under the set of real numbers as real numbers is a super set of all types of numbers. Thus natural numbers definition ...Read More
  • Even Numbers
    Numbers can be classified in many ways, as real numbers, natural numbers, whole numbers, even numbers, odd numbers, fractional numbers, prime numbers, composite numbers and many other forms.
    Here we are going to discuss even numbers. Even ...Read More
  • Prime Numbers
    Number system is a vast topic in Mathematics which contains both real and complex numbers. Complex numbers include both real and imaginary parts. In real numbers, these can be classified in rational and irrational numbers which can be further...Read More
  • Composite Numbers
    We come across different numbers in our day to day life. Life cannot roll without numbers. Numbers are classified as natural numbers, whole numbers, even numbers, odd numbers, prime numbers, composite numbers, rational numbers, irrational...Read More
Math Topics