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Multiplication Tables
Multiplication is one of the most basic mathematical operation that is learnt after addition and subtraction, as it lays the foundation for further arithmetic operations. Multiplication is a fundamental skill for all who wish to learn mathematics.
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What are Multiplication Tables?
When a number is multiplied by another number, it gives a product. This process is called multiplication, but when a constant number is multiplied by a series of numbers, it is called a multiplication table. Generally, multiplication tables start by multiplying a constant number 1 and then moving forward. This provides a list of numbers, which is then arranged in a tabular form. An example of a multiplication table is shown below.
3 × 1 = 3
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12
3 × 5 = 15
3 × 6 = 18
3 × 7 = 21
3 × 8 = 24
3 × 9 = 27
3 × 10 = 30
This is the multiplication of 3; similarly, other multiplications can also be created.
How can Multiplication Tables From 1 to 100 Help Kids Learn?
Using a multiplication table, kids can learn multiplication more effectively. Students can easily learn the multiplication table by practicing regularly. Tools like worksheet, flash cards, timetables, easy tricks are used to make learning easier for children. Let's check all the multiplication tables from 1 to 100.
Why are Multiplication Tables Important for Students?
Multiplication tables are the building blocks of arithmetic. The importance of multiplication is mentioned below:
- Learning the times table helps in improving the mental math skill.
- Memorizing the multiplication table enhances the solving speed.
- It is helpful in the real world as multiples help calculate various things in our daily lives.
- Multiplication tables are simple and are easier to understand even at a young age.
- Multiplication tables are handy when L.C.M., H.C.F. and other mathematical concepts are being calculated as well
What are Some Tips and Tricks to Learn Multiplication Tables?
Tips and Tricks to Learn Multiplication Tables
Multiplication is a part of basic math skills, so it is significant to learn multiplication tables. To learn tables faster, follow the tips and tricks mentioned below.
- Memorization is one of the most effective methods for learning tables. Memorizing multiplication tables makes it easy to do complex multiplication.
- When introducing multiplication tables to kids, try to use exclusive multiplication tables that are tailored to their needs. Visual representations can easily attract kids.
- A multiplication table can be understood through the concept of repeated addition. For example, in the multiplication table of 2,
2 × 2 = 4 2 + 2 = 4
2 × 3 = 6 2 + 2 + 2 = 6
2 + 2 + 2 = 6 2 + 2 + 2 + 2 = 8
The same repeated addition can be followed in all the tables.
- When multiplying two numbers, if one or both numbers end with 0, the zeros can be skipped during multiplication and added to the end.
20 × 5 = 100 2 × 5 = 10
30 × 5 = 150 3 × 5 = 15
40 × 6 = 240 4 × 6 = 24
- Multiplication has a commutative property, which states that if two numbers are being multiplied by each other, changing the order of the numbers does not affect the final product. i.e., a × b = b × a
For example, 5 × 3 = 15, 3 × 5 = 15.
- Multiplying larger numbers is difficult. So break down the number to avoid errors. For example,
25 × 5 = 125
It can be split into,
(20 × 5) + (5 × 5)
= 100 + 25 = 125.
Common Mistakes and How to Avoid Them in Multiplication Tables
While learning multiplication tables, students make errors. Students tend to make the same mistakes, mostly. So let’s check out some common mistakes and ways to avoid them. To master multiplication tables, try to avoid these common mistakes.
Mistake 1
Using irregular methods for multiplication or applying multiple methods to do multiplication.
Using various methods of calculating multiples for a single table can lead to confusion and wrong values. For example: if table of 3 is added and then skip counted, there are higher chances of calculation errors.
Mistake 2
Following the Same Pattern for All Multiplication Tables Leads to Calculation errors
Mostly, students follow the same pattern for different tables, which can lead to errors. Each table has a different skip count, i.e., the common difference between the products is different for each table. Therefore, ensure you understand the concept and pattern of each table.
For example, some patterns are:
The pattern in Table of 2 consists only of even numbers.
The multiplication table of 5 ends with 0 or 5. The pattern of the multiplication tables of 5 is 5, 0, 5, 0.
In the multiplication table of 10, all the products end with 0. For example, 10, 20, 30, and so on.
Mistake 3
Errors while Multiplying Large Numbers
Students often make errors when multiplying large numbers. To avoid this error, it's better to use the splitting method. For example, 64 × 5
64 × 5 = (60 × 5) + (4 × 5)
= 300 + 20 = 320
Mistake 4
Lack of Regular Practice leads to confusion and errors
If Multiplication tables are not practiced regularly, then getting confused between multiples of different numbers is very common.
For example: One of the most common errors that occur due to lack of practice is confusing the value of 8✕7 = 56 and 9✕6 = 54. As the product values are very close to each other and the tables are of consecutive numbers as well.
Mistake 5
Not Focusing on the Lower Number
When learning multiplication tables, start with smaller numbers. Then, gradually, with larger numbers, it can become complex. That is why, during the introduction of multiplication tables, kids are introduced to smaller numbers. Always start from lower number when writing down multiplication tables.
For example: Table of 3
3 × 1 = 3
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12
3 × 5 = 15
3 × 6 = 18
3 × 7 = 21
3 × 8 = 24
3 × 9 = 27
3 × 10 = 30
In here we start by the lowest possible multiplication number i.e ‘1’ that gives a non-zero value.
What is a Multiplication Chart?
Multiplication can be represented in the form of a chart which, usually is in the form of a grid, that displays the products of numbers when multiplied together. The numbers are written across the top row and the left column, and each cell inside the chart shows the result of multiplying the corresponding row and column numbers.
How to Use a Multiplication Chart?
To use a multiplication chart, there are a few steps that need to be followed, and they are mentioned below:
- Choose the two numbers you want to multiply, i.e. one from the top row and one from the left column.
- Find the first number on the left column.
- Find the second number on the top row.
- Trace across and down to the point where they meet — that number is the product.
Multiplication Chart from 1 to 12
The times table chart from 1 to 12 consists of the product from 1 to 12 in a grid format. The numbers from 1 to 12 are written in the first row and first column. Each intersecting grid has the product of the numbers.
What are the Real-World Applications of Multiplication Tables?
Multiplication tables play a major role in our daily lives. We can see some real-world applications.
1. Scaling Recipes
1. Scaling Recipes
When cooking, the quantity of ingredients is sometimes scaled according to the portions required. This is a classic example of the usage of multiplication in real life. For example, measuring ingredients according to the quantity.
2. Simplifying Finances
2. Simplifying Finances
We use multiplication while calculating expenses. For example, while shopping, multiplication is used to calculate the interest, returns, daily expenses, etc.
3. Practical Applications
3. Practical Applications
We use it for traveling, construction, planning events, and so on.
Multiplication Tables Examples
Problem 1
Find the product of 15 × 36 Using split method
(15 × 30) + (15 × 6) = 540
Explanation
In this split method, the number is broken down as per the place value. Here 36 can be written as 30 + 6 which can be multiplied by 15 separately. Here, the distributive property is used for easy calculation. 15 is once multiplied by 30 and then by 6 respectively and the product is added. Here, (15 × 30) + (15 × 6) = 540.
Problem 2
The cost of 1 kg of apples is 50 rupees. Then what would be the cost for 5 kg?
The cost for 5 kg of apples is 250 rupees.
Explanation
The cost of 5 kg of apples = the cost of 1 kg × 5
= 50 × 5 = 250 Rupees
Problem 3
Fill the patterns a- 2, 4, 6, _, 10, 12. b- 5, 10, 15, _, 25.
The patterns are
2, 4, 6, 8, 10, 12
5, 10, 15, 20, 25
Explanation
The patterns are the multiplication table of 2 and 5 respectively. So, to fill the blank, adding 2 and 5 respectively with the previous number is required.
Problem 4
If a person works for 1 hr, he can earn 90 points. If the working hours are 8, then how much can he earn in a day?
The points the person can earn in 8 hrs are 720
Explanation
total points earned = points earned in an hour × number of hours
= 90 × 8 = 720
Problem 5
The cost of one dress is 359 Rupees, calculate the cost for 6 dresses.
The cost of 6 dresses is 2154 Rps.
Explanation
Multiply the cost of one dress (359) with the total dresses (6), to find the total cost of the dresses.
359 cost of a dress x 6 total dresses = 2154 Rps.
FAQs on Multiplication Tables and Charts
1.How to make a multiplication table chart?
2.What are the three rules of multiplication?
3.What is a multiplication table?
4.What is the multiplication table of 7?
5.Check whether it is 42 in 6 times table or not?
6.What is the easiest way to memorize multiplication tables?
7.What is the primary use of multiplication tables?
8.What are the four rules of multiplication?
9.What is the most forgotten times table?
10.What prior knowledge is needed for multiplication?
Printable Multiplication Tables and Worksheets
For learning multiplication tables, kids need to do multiplication practice. Here, printable multiplication tables and worksheets can help.
Let’s have some multiplication table exercises to check your understanding.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
