# 2.1: The Multiplication Table - Mathematics

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hline & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12
hline hline 1 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12
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## 2.1: The Multiplication Table - Mathematics

The multiplication tables given below cover the groups of order 10 or less. That is, any group of order 2 through 10 is isomorphic to one of the groups given on this page. The reader needs to know these definitions: group, cyclic group, symmetric group, dihedral group, direct product of groups, subgroup, normal subgroup. The quaternion group is discussed in Example 3.3.7. There are more group tables at the end of Section 7.10.

Subgroups:
order 2: <1,a>
order 1:

#### C3, the cyclic group of order 3

Subgroups:
order 3: <1,a,a 2 >
order 1:

#### C4, the cyclic group of order 4

Elements:
order 4: a, a 3
order 2: a 2

Subgroups:
order 4: <1,a,a 2 ,a 3 >
order 2: <1,a 2 >
order 1:

#### C5, the cyclic group of order 5

Elements:
order 5: a, a 2 , a 3 , a 4

#### C6, the cyclic group of order 6

Elements:
order 6: a, a 5
order 3: a 2 , a 4
order 2: a 3

#### S3, the symmetric group on three elements

Elements:
order 3: a, a 2
order 2: b, ab, a 2 b

#### C7, the cyclic group of order 7

Elements:
order 7: a, a 2 , a 3 , a 4 , a 5 , a 6

#### C8, the cyclic group of order 8

Elements:
order 8: a, a 3 , a 5 , a 7
order 4: a 2 , a 6
order 2: a 4

#### C4 x C2, the direct product of a cyclic group of order 4 and a cyclic group of order 2

Elements:
order 4: a, a 3 , ab, a 3 b
order 2: a 2 , b, a 2 b
order 1: 1

#### C2 x C2 x C2, the direct product of 3 cyclic groups of order 2

Elements:
order 2: a, b, ab, c, ac, bc, abc

#### D4, the dihedral group of order eight

Elements:
order 4: a, a 3
order 2: a 2 , b, ab, a 2 b, a 3 b

#### Q, the quaternion group (of order eight)

Elements:
order 4: a, a 3 , b, ab, a 2 b, a 3 b
order 2: a 2

Here are several different patterns for the multiplication table of the quaternion group, using the cross product of unit vectors i, j, k:

Elements:
order 4: i, -i, j, -j, k, -k
order 2: -1

#### C9, the cyclic group of order 9

Elements:
order 9: a, a 2 , a 4 , a 5 , a 6 , a 7
order 3: a 3 , a 6

#### C3 x C3, the direct product of two cyclic groups of order 3

Elements:
order 3: a, a 2 , b, ab, a 2 b, b 2 , ab 2 , a 2 b 2

#### C10, the cyclic group of order 10

Elements:
order 10: a, a 3 , a 7 , a 9
order 5: a 2 , a 4 , a 6 , a 8
order 2: a 5

#### D5, the dihedral group of order ten

Elements:
order 5: a, a 2 , a 3 , a 4
order 2: b, ab, a 2 b, a 3 b, a 4 b

## Multiplication Chart 1-15 in Image & PDF

To teach multiplication tables to your child, sit down together and start learning the multiplication tables in fact families, like 0, 1, 2, and 3. Explain to them that multiplication is just adding a number repetitively, and use a table or chart to show them that the numbers repeat. For example, 7 times 3 is the same as 3 times 7. Then, teach them about special patterns, like all numbers multiplied by 5 end in 0 or 5 and all numbers multiplied by 1 equal the other number. If you know special tricks, like using your fingers for the 9 fact family, use those tips to help speed them up. For other tips on memorizing the answers and using speed skills, read on!

## Multiplication games

Here you can learn the multiplication tables in an interactive way. Adding a game element with the free multiplication games makes it more fun to practice. This is a good variation on the speed test, the tables diploma, and exercises at school with a reinforcing learning effect.

With the help of these educational games, you can do some extra exercises to learn all the multiplication tables well. These games are aimed at learning the multiplication tables offered in primary school. So, you can play 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 multiplication games. These free multiplication facts games for kids are made to make the learning more fun and interactive. Emphasis is not just on practicing but also on playing. The advantage is that you play and learn. You can remember them best by repeating frequently. It is good to practice 10 minutes a day and thus achieve the best result by repetition. This improves the arithmetic knowledge for children of factors and multiples.

These math games for kids are good to help to learn the multiplication tables. This is a beautiful addition to primary school education and a good foundation for mathematics assignments in high school. By exercising well and regularly, you can surprise your teacher in class with good answers!

The now available times tables games are for example ‘multiplication tables cat’ and ‘multiplication tables memory’. At the cat game, the goal is to collect toys and stuff for the cat. This can be achieved by jumping to the right platforms, but of course you should calculate the sum to find the right platform.

At the memory game, you can play memory with the sums and answers. You can play with 1 or more multiplication tables at a time. What's nice is that it can play 1 vs 1. This way you can play against your classmate, friend or play a match against your teacher.

## Order of Operations

When you have a math problem that involves more than one operation?for example, addition and subtraction, or subtraction and multiplication?which do you do first?

• Do you do the subtraction first (6 ? 3 = 3) and then the multiplication (3 x 2 = 6)?
• Or do you start with the multiplication (3 x 2 = 6) and then subtract (6 ? 6 = 0)?

### PEMDAS

In cases like these, we follow the order of operations. The order in which operations should be done is abbreviated as PEMDAS:

1. Parentheses
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

(One way to memorize this is to think of the phrase Please Excuse My Dear Aunt Sally.)

• In the above example, we're dealing with multiplication and subtraction. Multiplication comes a step before Subtraction, so first we multiply 3 x 2, and then subtract the sum from 6, leaving 0.

Example #2: 30 5 x 2 + 1 = ?

• There are no Parentheses.
• There are no Exponents.
• We start with the Multiplication and Division, working from left to right.
NOTE: Even though Multiplication comes before Division in PEMDAS, the two are done in the same step, from left to right. Addition and Subtraction are also done in the same step.
• 30 5 = 6, leaving us with 6 x 2 + 1 = ?
• 6 x 2 = 12, leaving us with 12 + 1 = ?
• We then do the Addition: 12 + 1 = 13

Note that if we'd done the multiplication before the division, we'd have ended up with the wrong answer:

The printable multiplication chart is available now 1 to 15 this a basic step chart now to download this multiplication chart free of cost in a PDF Format and increased in mathe knowledge. This is a blank multiplication table chart 1 to 15 so full fill a blank box and checks in your kid’s process it’s most important to check a process for her kids and download this chart in a free of cost. Help your kids in learning the multiplication table 1-15 with our multiplication chart. This chart is the basic chart of learning the tables for the aspirants.

### Printable Multiplication Table 1-15

To download this table chart in a supportable format PDF format and increased in your kid’s basic math knowledge and start in your kid’s future preparation to download this chart in a free of cost. Table are the starting phase of mathematics, therefore kids have to learn it in the early phase of schooling. You can refer our printable multiplication chart of table 1 to 15 to get good commands of basic tables. As the name suggests it’s a fully printable chart hence users can easily print it on the single click.

You can here get the digital PDF format of multiplication chart to learn the tables from 1 to 15. The table multiplication chart is compatible with the digital medium of learning such as smartphones, tab etc. So, feel free to print this table learning chart from here and begin your digital learning today.

### Time Tables 1-15 Worksheet

Get the timetable styled format of multiplication table 1-15 here and make your table learning effective. You can use this time tables chart as your daily learning source of learning the tables. Feel free to stick it on wall and have the daily glimpse of learning. You can further share it with your friends or classmates as well.

So, if you are studying in the elementary schools, then you can refer this chart for table learning purpose. It is ideal both for the learning and teaching purposes of the users.

### Times Table 1 to 15

This worksheet is really helpful for you to download this worksheet in a free of cost and this chart a really helpful for you mostly kids this chart preparation for his kids and increased knowledge for his kid’s math-related.

Well, with our blank multiplication chart of tables you can practice the tables from 1 to 15. As the name indicates that this chart contains the blank columns so that you can fill the digits in this worksheet.

Further, you can customize this table worksheet as per your requirements. The table worksheet is ideal both in learning the tables and also in practicing it.

## Multiplication Charts

Multiplication Display Charts

These multiplication chart pdfs are great way to learn multiplication. Each display chart has unique theme to drive interest in learning.

Charts begin with 0: Color Display

Charts begin with 0: Black & White Display

Charts begin with 1: Color Display

Charts begin with 1: Black & White Display

Are you done learning with multiplication tables? Practice these 3rd grade partially-filled charts to reinforce the knowledge in multiplication.

Blank Multiplication Charts:

Multiply the numbers in the row with the numbers in the column. If the children have successfully done with memorizing the multiplication tables, ask them to complete these blank charts for revising purposes.

## Free Printable Math Worksheets

• Place Value, Rouding & Comparing Numbers
• Number Bonds
• Subtraction Worksheets
• Multiplication Worksheets
• Division Worksheets
• Multiplication & Division
• Negative Numbers
• Money Worksheets
• Fractions Worksheets

### Place Value Worksheet Generator

Here is our generator for generating your own place value worksheets.

Our generator will create the following worksheets:

• digit value worksheets - where you have to write the value of the underlined digit
• convert between standard and expanded form, up to millions and 3dp.

These sheets involve saying the value of the underlined digit.

### Rounding Off Worksheet Generator

Here is our generator for generating your own rounding off numbers worksheets.

Our generator will create the following worksheets:

• rounding off to the nearest 10, 100, 1000 or 10000
• rounding to the nearest whole, to 1dp, or 2dp.
• rounding off to 1sf, 2sf or 3sf

### Greater Than Less Than Worksheet Generator

Here is our generator for generating your own greater than less than worksheets.

Our generator will create the following worksheets:

### Number Bonds Worksheets Generator

Our new number bonds worksheet generator will allow you to create your own printable number bonds worksheets.

You can choose from a range of values from whole numbers to decimals.

You can also choose to use addition questions, subtraction questions or both.

Here is our free generator for addition worksheets.

This easy-to-use generator will create randomly generated addition worksheets for you to use.

Each sheet comes complete with answers if required.

The areas the generator covers includes:

• addition fact worksheets with numbers up to 10, 15, 20, 50, 100
• addition by 1s, 10s and 100s
• column addition with a range of numbers

These sheets involve adding numbers horizontally with a wide choice of values.

The addition worksheet generator below will create a range of addition problems in columns, including decimals.

The adding money worksheet generator below will create a range of money problems in columns to add up in a range of currencies.

### Subtraction Worksheet Generator

Here is our free generator for subtraction worksheets.

This easy-to-use generator will create randomly generated subtraction worksheets for you to use.

Each sheet comes complete with answers if required.

The areas the generator covers includes:

• subtraction facts with numbers up to 10, 15, 20, 50, 100
• subtraction by 1s, 10s and 100s from 3 digit numbers
• subtraction involving negative numbers.
• column subtraction with a range of numbers
• column subtraction with decimals up to 3dp.

These free printable math worksheets can be used in a number of ways to help your child with their subtraction fact learning.

This generator will create money subtraction worksheets set out in columns.

### Addition & Subtraction Worksheet Generator

Here is our addition and subtraction worksheet generator.

This generator generates random worksheets with both addition and subtraction calculations.

It is ideal for getting children to practice both addition and subtraction together.

It uses the same settings as the addition generator and the subtraction generator.

### Multiplication Worksheet Generator

Here is our free generator for multiplication worksheets.

This easy-to-use generator will create randomly generated multiplication worksheets for you to use.

Each sheet comes complete with answers if required.

The areas the generators cover includes:

• Multiplying with numbers to 5x5
• Multiplying with numbers to 10x10
• Multiplying with numbers to 12x12
• Multiply with up to 5 digits x 3 digits
• Practicing a single times table
• Practicing selected times tables

The Times Table Worksheets Generator will help your child to learn and practice their times tables only.

### Division Worksheet Generator

Here is our free generator for division worksheets.

This easy-to-use generator will create randomly generated division worksheets for you to use.

Each sheet comes complete with answers if required.

The areas the generator covers includes:

• Dividing with numbers to 5x5
• Dividing with numbers to 10x10
• Dividing with numbers to 12x12
• Dividing with a single times table
• Practicing division with selected times tables

These free printable math worksheets can be used in a number of ways to help your child with their division table learning.

### Multiplication & Division Worksheet Generator

Here is our multiplication and division worksheet generator.

This generator generates random worksheets with both multiplication and division calculations.

It is ideal for getting children to practice both multiplication and division together.

This will help children see and understand the link between multiplication and division.

It uses the same settings as the multiplication generator and the division generator.

### Negative Numbers Worksheets Generator

We also have a selection of worksheets involving operations with signed intergers, such as -4 x (-3), or -7 - (-5), etc.

You can choose what sort of values you want to work with and create your own worksheets.

### Money Worksheets Generator

Here you will find our random generator to create your very own money worksheets.

You can choose what value you wish go up to, and whether you want to add or subtract money amounts.

You can choose the number of questions you would like, as well as printing off answer sheets.

This generator will create money fact problems set out horizontally.

The adding money worksheet generator below will create a range of money problems in columns to add up in a range of currencies.

This generator will create money subtraction worksheets set out in columns.

This money worksheet generator below will create a range of money problems in columns to add and subtract in a range of currencies.

### Fractions Worksheets Generator

We currently have two fraction worksheet generators.

• Fractions of whole numbers generator
• Adding and Subtracting Fractions worksheet generator

How to Print or Save these sheets

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### Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

## Watch the video: Times Tables, Mandelbrot and the Heart of Mathematics (July 2022).

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