Number Operations



Numbers are used for counting and are the basic building blocks of math. In real-life scenarios, we often see a need to do more with numbers like, putting things together or taking a few things away and counting the rest.

Let us see a few common situations that Justin experienced in a regular day at school –

  • There are 15 students in Justin’s class and 2 are absent. How many are present?
  • Justin’s class is organizing an old toys collection day to support a charity. They have a good response. How many toys have they collected?
  • These situations need us to work with numbers, or in other words do number operations.
    These operations are also called Arithmetic Operations. There are four basic operations in mathematics which are the fundamental key aspects for most of the fields of science and technology.

    The basic operations are:

  • Addition (symbol used is ‘➕’)
  • Subtraction (symbol used is ‘➖‘)
  • Multiplication (symbol used is ‘✖️’)
  • Division (symbol used is ‘➗’)
  • Addition


    Addition is a prominent arithmetic operation. Performing this operation means to combine and finding the total. We need at least two numbers to combine, which are called as ‘addends’ and the result is called as the ‘sum.’
    When we try to add big values, there arises a need to use many tricks and strategies to make our task easier. There are many addition strategies that can be applied to add numbers easily. Some of them are listed below. We can perform addition using:

  • Visual models

  • Pictures and models are easy to understand, interpret. They are fun to learn with. Hence, using visual and concrete models for teaching any concept is an effective way. We can count the number of objects or blocks in a picture frame to find the total.

  • Count forward method

  • If pictures are replaced by numerals or each picture is mapped on to a number, then counting the pictures is nothing but counting the numbers forward. To add two numbers using the method of counting forward, we choose a bigger number out of the two given numbers and count forward as many times as the smaller number. The number at which you stop is the sum.

  • Number line

  • Numbers can be plotted on a line. Such a line is called as a number line. Therefore, we can also use a number line to add two or more numbers. The steps followed to add is similar to that briefed in the count forward method, except that we count forward on a number line.

  • Abacus
  • Number bonds
  • Bar model
  • Tens frame
  • Doubles
  • Base ten blocks
  • Place value table
  • Decomposition method
  • Compensation strategy
  • Addition Strategies
    Addition Strategies

    Subtraction

    Different methods to perform subtraction

    Multiplication


    Ways to multiply
    Multiplication strategies

    Division


    Division Strategies
    Division Strategies