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How is a multiplication table useful for solving mathematical problems?

How is a multiplication table useful for solving mathematical problems?

In mathematics, a multiplication table provides the times’ table of each integer. The multiplication table is very helpful for kids to solve math problems. As each mathematical problem has product, division, factorization or multiples, it requires times table for solving the problems.

In this post, we will learn about the multiplication table, how to write the times table and how mathematical problems are solved by using this table.

What is a Multiplication Table?

A table that contains tables of natural numbers is known as a multiplication table. The multiplication word is used for this table because the times table is taken by multiplying the natural numbers. In the multiplication table, the factors of the numbers are also taken for the process of factorization.

Multiples of each natural number can easily be taken by using this table. This table is very helpful for solving many mathematical problems. The product and quotient of natural numbers are easily taken by using this table. You can also take multiples and factors for this table for solving LCM and GCF in no time.

The multiplication table is given below.

x 0 1 2 3 4 5 6 7 8 9 10 11 12
0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 2 3 4 5 6 7 8 9 10 11 12
2 0 2 4 6 8 10 12 14 16 18 20 22 24
3 0 3 6 9 12 15 18 21 24 27 30 33 36
4 0 4 8 12 16 20 24 28 32 36 40 44 48
5 0 5 10 15 20 25 30 35 40 45 50 55 60
6 0 6 12 18 24 30 36 42 48 54 60 66 72
7 0 7 14 21 28 35 42 49 56 63 70 77 84
8 0 8 16 24 32 40 48 56 64 72 80 88 96
9 0 9 18 27 36 45 54 63 72 81 90 99 108
10 0 10 20 30 40 50 60 70 80 90 100 110 120
11 0 11 22 33 44 55 66 77 88 99 110 121 132
12 0 12 24 36 48 60 72 84 96 108 120 132 144

 

The above table is very essential for the calculation of mathematical problems as well as in our daily dealings.

How to solve math problems using a Multiplication Table?

There is a bulk of problems that are not solved by using a multiplication table. This table must be remembered to solve such problems.

Example

Find the product of 324 and 24?

Solution

Step 1: To solve this problem you must acknowledge with the times table of 2 and 4.

2 x 1 2
2 x 2 4
2 x 3 6
2 x 4 8
2 x 5 10
2 x 6 12
2 x 7 14
2 x 8 16
2 x 9 18
2 x 10 20
2 x 11 22
2 x 12 24

 

4 x 1 4
4 x 2 8
4 x 3 12
4 x 4 16
4 x 5 20
4 x 6 24
4 x 7 28
4 x 8 32
4 x 9 36
4 x 10 40
4 x 11 44
4 x 12 48

 

Step 2: Then use these two times tables for solving the desired problem.

324

x 24

1296

648x

7776

Step 3: Hence the result is.

324 x 24 = 7776

Example

Find the product 114 and 36?

Solution

Step 1: To solve this problem you must acknowledge with the times table of 2 and 4.

3 x 1 3
3 x 2 6
3 x 3 9
3 x 4 12
3 x 5 15
3 x 6 18
3 x 7 21
3 x 8 24
3 x 9 27
3 x 10 30
3 x 11 33
3 x 12 36

 

6 x 1 6
6 x 2 12
6 x 3 18
6 x 4 24
6 x 5 30
6 x 6 36
6 x 7 42
6 x 8 48
6 x 9 54
6 x 10 60
6 x 11 66
6 x 12 72

 

Step 2: Then use these two times tables for solving the desired problem.

114

x 36

684

342x

4104

Step 3: Hence the result is.

114 x 36 = 4104

How to memorize Multiplication Table?

To remember multiplication tables start learning the easy tables first. Such as start learning the times’ tables of 2, 5, and 10 as these tables are much easier to remember. After learning these tables learn the times’ table of 3, 4, 6, 7, 8, and 9. The flow generates to learning these tables. Continuously revise these tables you will be able to teach these tables to others.

After the times’ tables of 2, 3, 4, 5, 6, 7, 8, 9, and 10, go to higher tables e.g., 11, 12, 13, and so on. You can also use worksheets in which you practice either what you have learned or not the times table. For practicing these tables on worksheets, you can use a multiplication table in which you can first learn the times table and then use worksheets for practicing.

Tips to remember times table

You can be a master at times table by following these tips and tricks.

  • When you learned the times’ table of 2, you can make it the times table of 4 and 6 just by multiplying the outputs of two’s time table by 2 and 3.
  • To write the times’ table add five to the previous ones. In the times’ table of five, only 0 and 5 come in the last.
  • For remembering the time’s table of nine, simply collect the nine times results of each times table.
  • In the times table of ten, simply use natural numbers and put zero in the last of each number.
  • In the times table of twenty, use a times table of two and put zero in the last of each number.

Summary

The use of a multiplication table is very important for kids. Each table holds the utmost value when it comes to the mathematical skills of kids. You can make the times table of any natural number by adding that natural number in previous results. Once you remember times tables, the mathematical problems become easy for you.

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