# Multiplication and division – The basic topic of mathematics to learn

Mathematics is built on the foundations of multiplication and **division**. Multiplication and division are the foundations of all mathematical problems. So, if you want to give 5 chocolates to 15 of your pals, how many chocolates do you need in total? What will you do to acquire the result? Isn’t it going to be 5 or 15 times? However, because multiplication is a shortcut for repeated addition, you may immediately multiply 15 5 = 75 by employing it. Isn’t that simple and quick?

Similarly, how would you compute the distribution of 60 chocolates evenly among your 20 friends? Now it’s time to divide, and division will help you discover this quickly: 60 20 = 3. As a result, you may give each of the three chocolates. However, memorising the multiplication table of the numbers is required to comprehend multiplication and division. So, let’s look at what multiplication is, how to divide a number, and division techniques.

Multiplication: Multiplication is a mathematical procedure that involves determining the product of two integers to produce a third number. Multiplication of positive integers is the process of repeatedly adding a number to itself. Because multiplication makes repeated addition simpler, it is termed repeated addition. 5 + 5 + 5 = 5 3 = 15 is an example. However, we may multiply by fractions, decimals, and other integers in the same way that we multiply by whole numbers. As an example, consider the following:

The number to be multiplied is known as the multiplicand; in this case, 3 is the multiplicand. The multiplier is the number by which the multiplicand is multiplied; in this case, 5 is the multiplier or multiplicator. The product is the outcome of multiplication; in this case, 15 is the product. Integer multiplication is fairly similar to regular multiplication. However, because integers may be both negative and positive, there are several criteria or conditions to keep in mind while multiplying integers.

Division: Subtraction is repeated in the division. The division is nothing but the process of dividing any one part into different parts. The dividend is the number that we will be used to divide. The divisor is the number that is being divided by the dividend. The quotient is the number of times the divisor divides dividends, while the remainder is the amount left over after division. The dividend in the case above is 68, the divisor is 5, the quotient is 13, and the remainder is 0.

The dividend, the quotient, the divisor, and the remainder are all required by the universal division formula. The definitions of each of these words may be found in the graphic below. We recommend reading through the long division technique page to better comprehend the notion of how to divide. When you divide any integer by 1 (the quotient equals the dividend), the result is the same as the dividend. Consider the following examples: ten plus one equals ten. Because a number cannot be divided by zero, the result is unknown. The answer is always 1 when the dividend equals the divisor, which indicates the numbers are the same but not 0.

In the above article, we have discussed two of the most common concepts of mathematics that are division and **multiplication**. Both these concepts lay the foundation not higher studies. If one is not good at these two concepts then there is a high probability that a student will not do well in his higher mathematics. Therefore, all the students should learn these concepts properly. If they find any kind of difficulty in understanding these topics then they can take assistance from **Cuemath**. It is an online platform that teaches students for free.