Introduction

Mathematicians use the basic operation of multiplication to combine two or more numbers to create products. It is widely used in a broad range of fields such as research, engineering, finance, and computer programming. Various symbols and notations, such as a cross, a median dot operator, a juxtaposition, or an asterisk (*), can be used to symbolise multiplication.

In the multiplication process, the numbers are divided into smaller pieces and then sequentially added together to produce the result. Using multiplication tables can help to simplify the process, particularly for one-digit numbers. To get the proper outcome when multiplying larger numbers, you must regroup and pass over digits.

Comprehensive Explanation

Any other number can be multiplied by 98 using the 98 times table. In a table, the number 98 can be represented by multiplying it by another whole integer, then by 98.

Here are the first ten multiples of 98 that will make arithmetic more exciting for students.

You can see that multiplying by 98 is a straightforward procedure. However, there are additional strategies that can be applied to enhance and streamline this procedure.

The commutative property is one of the most often applied types of multiplication. The product is guaranteed to be unaffected by the order of the number multiplication thanks to this feature. For instance, multiplying 98 by 3 and 98 by 3 results in the number 294. This characteristic helps us organise the components in a way that is more advantageous to us when multiplying greater quantities.

Hints and Shortcuts

Numbers can be arranged in any sequence for easier computation due to the flexibility of the multiplication process. Students profit from figuring out which organisation makes the most sense to them, such as using multiplication formulas to remember the product of numbers. When multiplying big numbers, it is frequently easier to divide them into smaller parts and then piece them together methodically to achieve the desired outcome.

For example, multiplying a two-digit number by a one-digit number may be easier if the larger number is divided into place values and each component is multiplied individually before being combined. Furthermore, mental arithmetic techniques, such as structuring an issue as a subtraction to simplify the computation, can be used to calculate multiplication facts that may be forgotten.

Mastering multiplication techniques is a fundamental skill for anyone pursuing further education in math or related disciplines, and it can be helpful in various fields.

Solved Examples

Q1. A box contains 76 samples of pens, if there are 98 boxes similar to the first one, how many samples there are in total?

Ans. Number of pens in a box = 76

Number of pens in a single box = 98

Total number of pens = Number of pens in a box ×Number of box

Total number of pens = 7448

Q2. A body has a mass of 46Kg and acceleration due to gravity is 9.8m/s. What is the weight of the body?

Ans. The mass of the body is =46Kg

Acceleration due to gravity is =9.8m/s

Therefore the weight of the body is = mass × Acceleration due to gravity

The weight of the body is =450.8 Kg