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What is a multiplication table and how does it help to solve multiplication problems?

In mathematics, a multiplication table is a table that provides the times tables. This table is very helpful for solving various kinds of product problems. This table is very helpful for the kids to learn and understand the times tables of various integers. 

In this article, we will learn about multiplication tables, how to write the times table of different integers, and how it helps to solve mathematical problems.

What is a multiplication table?

“In mathematics, a multiplication table also known as time’s table is a mathematical table used to define a multiplication operation for an algebraic system.”

Multiplication is an arithmetic operation of mathematics used to calculate the product of numbers. The word multiplication table indicates that this table is based on the product of the integers to make the times table of numbers. 

The problems of mathematics like quotient, product, or factors can be solved easily by using a multiplication table. The multiplication table for some integers is mentioned below.

The above table is very helpful to solve the problems of mathematics and daily life calculation.

How to evaluate the multiplication problems by using a multiplication table?

A multiplication table is very essential for solving the problems of mathematics. Let us take a few examples to understand how to calculate them.

Example 1: 

Evaluate the product of 432 and 34.

Solution 

Step 1: To find the product of the given numbers, you must know the time’s tables of 3 & 4.

Time’s table of 3 Time’s table of 4

Time’s table of 3Time’s table of 4
3 x 1 = 34 x 1 = 4
3 x 2 = 64 x 2 = 8
3 x 3 = 94 x 3 = 12
3 x 4 = 124 x 4 = 16
3 x 5 = 154 x 5 = 20
3 x 6 = 184 x 6 = 24
3 x 7 = 214 x 7 = 28
3 x 8 = 244 x 8 = 32
3 x 9 = 274 x 9 = 36
3 x 10 = 304 x 10 = 40
3 x 11 = 334 x 11 = 44
3 x 12 = 364 x 12 = 48

Step 2: Now use the above time’s tables to find the product.

4 3 2

x 3 4

1 7 2 8

           1 2 9 6 x

           1 4 6 8 8 

Hence, the product of 432 and 34 is 14688.

Example 2: 

Evaluate the product of 1112 and 57.

Solution 

Step 1: To find the product of the given numbers, you must know the times tables of 5 & 7.

Time’s table of 5Time’s table of 7
5 x 1 = 57 x 1 = 7
5 x 2 = 107 x 2 = 14
5 x 3 = 157 x 3 = 21
5 x 4 = 207 x 4 = 28
5 x 5 = 257 x 5 = 35
5 x 6 = 307 x 6 = 42
5 x 7 = 357 x 7 = 49
5 x 8 = 407 x 8 = 56
5 x 9 = 457 x 9 = 63
5 x 10 = 507 x 10 = 70
5 x 11 = 557 x 11 = 77
5 x 12 = 607 x 12 = 84

Step 2: Now use the above time’s tables to find the product.

1 1 1 2

    x 5 7

7 7 8 4

            5 5 6 0 x

           6 3 3 8 4 

Hence, the product of 1112 and 57 is 63384.

Example 3: 

Evaluate the product of 1009 and 269.

Solution 

Step 1: To find the product of the given numbers, you must know the times tables of 2, 6, & 9.

Time’s table of 2Time’s table of 6Time’s table of 9
2 x 1 = 26 x 1 = 69 x 1 = 9
2 x 2 = 46 x 2 = 129 x 2 = 18
2 x 3 = 86 x 3 = 189 x 3 = 27
2 x 4 = 86 x 4 = 249 x 4 = 36
2 x 5 = 106 x 5 = 309 x 5 = 45
2 x 6 = 126 x 6 = 369 x 6 = 54
2 x 7 = 146 x 7 = 429 x 7 = 63
2 x 8 = 166 x 8 = 489 x 8 = 72
2 x 9 = 186 x 9 = 549 x 9 = 81
2 x 10 = 206 x 10 = 609 x 10 = 90
2 x 11 = 226 x 11 = 669 x 11 = 99
2 x 12 = 246 x 12 = 729 x 12 = 108

Step 2: Now use the above time’s tables to find the product.

 1 0 0 9

  x 2 6 9

  0 9 8 1

            6 0 5 4 x

          2 0 1 8 x x

          2 7 1 4 2 1

Hence, the product of 1009 and 269 is 271421.

How to memorize multiplication tables?

To memorize this table, start learning the easiest times table (2, 5, 10, 11) first then learn the complex times tables (3, 4, 6, 7, 8, 9, etc.). Memorizing times tables is very important because times tables play a vital role in our daily life calculations.

You can simply use a multiplication table from where you can learn all the time’s table of integers. Follow the below steps to generate the multiplication table by using this tool.

Step 1: Write the integer whose times table you want to generate.

Step 2: Hit the generate button next to the input box to generate the times table.

Step 3: The generated times table will show below the multiplication table.

Step 4: You can also use times tables worksheets of this tool.

Summary 

In this post, we have learned about the definition and examples of the multiplication table. Once you learn the multiplication table, you can easily solve product between two or more numbers. You have to learn all the times tables again and again to memorize them. 

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