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Multiplication

In maths, The method of finding the product of two or more numbers is called multiplication. It is a basic arithmetic operation that is usually applied in real life. When we need to combine groups of equal sizes multiplication can be used. Let us understand more about multiplication in this blog.

What do we understand by the term Multiplication?

Multiplication is an associate degree operation that represents the essential plan of perennial addition of a similar variety. The numbers that square measure increased square measure referred to as the factors and therefore the result that’s obtained when the multiplication of 2 or a lot of numbers is thought because of the product of these numbers. Multiplication is employed to alter the task of recurrent addition of a similar variety.

What is the symbol of multiplication (x)?

In arithmetic, we’ve completely different symbols. The multiplication image is one of all the unremarkably used science symbols. within the example given higher than, we tend to learn regarding the multiplication of 2 numbers six and nine. If we tend to observe the expression of multiplication (6 × nine = 54), we can see that the image (×) connects the 2 numbers and completes the given expression. aside from the cross image (×), multiplication is additionally denoted by the mid-line dot operator (⋅), and by the asterisk sign (*).

What is the formula for Multiplication?

The multiplication formula is expressed as, Multiplicand × Multiplier = Product; where:

  • Multiplicand: the primary range (factor).
  • Multiplier: The second range (factor).
  • Product: the ultimate result once multiplying the number and number.
  • Multiplication symbol: ‘×’ (which connects the complete expression).

4(multiplicand) × 5 (multiplier) = 20 (product)

Using this concept of multiplication let us learn how to solve multiplication problems.

How can multiplication problems be solved?

While finding multiplication issues, one-digit numbers may be increased during a easy method by splitting the multiplication tables, except for larger numbers, we have a tendency to split the numbers into columns exploitation their various place values, like ones, tens, hundreds, thousands, and so on. There square measure 2 sorts of multiplication problems:

  • Multiplication while not regrouping
  • Multiplication with regrouping

How to do Multiplication without Regrouping?

This involves the multiplication with the smaller numbers, which supplies a single-digit product. during this method, there’s no got to carry over to following variety in a very multiplication. allow us to perceive this method by taking a straightforward example: 2022×4

  1. Multiply the one’s place digit (2) with four,2×4=8
  2. Next, multiply the ten’s place digit (2) with four, offers 2×4=8
  3. Multiply the hundred’s place digit (0) with four, offers 0×4=0
  4. Multiply the thousand’s place digit (2) with four, offers 2×4=8

Therefore, 2022×4=8088.

How to do Multiplication with Regrouping?

This type of multiplication involves the numbers with two-digit product. during this method, there’s a carry over taken forward to ensuing range. allow us to perceive this method by taking a straightforward example: 2468×8

  1. Multiply the one’s place digit (8) with eight, provides 8×8=64. Keeping the four at one’s place and taking the carry half-dozen to the ten’s place.
  2. Multiply the ten’s place digit (6) with eight, provides 6×8=48. Add the carry to the present product 48+6=54. Keeping the four at ten’s place and taking carry (5) to hundred’s place.
  3. Multiply the hundred’s place digit (4) with eight, provides 4×8=32. Add the carry (5) to the present, 32+5=37. Keeping the seven at hundred’s place and taking the carry (3) to the thousand’s place.
  4. Multiply the thousand’s place digit (2) with eight, provides 2×8=16. Add the carry (3) to the present product 16+3=19.

Therefore, 2468×8=19744.

How to do Multiplication using Number Line?

Multiplication is that the method of continual addition of range|variety} with relation to the opposite number. the amount line is that the best manner of teaching the multiplication of numbers to the first categories. Multiplication by applying the amount line may be done by jumping the amount ranging from zero allow us to explore the on top of method by using the easy example: 6×3=18.

Here, we want to multiply six with three, which may be done by jumping on the amount line from zero thrice. every jump equals 6, that’s zero to six,6 to twelve and twelve to eighteen.Thus, the ultimate position on the amount line provides the product of 6×3=18.

Extra Word Problem:

  • The cost of one chewing gum is Rs.1.50. Then find the cost of 10 chewing gums.

Ans: Given the cost of one chewing gum is Rs.1.50.Then the total cost of 10 chewing gums is given by 10×Rs.1.50.=Rs.15.Hence, the cost of ten chewing gums is Rs.15.

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