The ** multiplication tables ** constitute one of the fundamental bases of Mathematics together with the operations of addition and subtraction.

They are an educational tool that ** facilitates the process of learning and memorizing multiplication ** from ** 2nd grade of Primary Education (7 years) ** through the orderly configuration (and from lowest to highest) of a set of diagrams where the values resulting from the multiplications are shown (for example, 3 x 5 = 15).

Thanks to their learning, **mental arithmetic is empowered** among the students, serving as a basis to learn multiplication and division successfully.

It is important that, rather than giving the students the multiplication tables so that they can learn them by heart, we explain that ** multiplication is nothing more than the successive sum of the same number ** and that it is very __ useful for quick and effortless accounts: __

*"Multiplication is just a shortcut to get large additions faster"*

Only when children __ understand the usefulness of the multiplication algorithm__ will they make sense of ** learning the multiplication tables**.

One last tip, it is essential to ** start by learning the easiest tables ** (for example the __ multiplication tables of 1, 2, 5 and 10__) to later increase the level difficulty and avoid frustration in their learning among boys and girls.

#### Memorize and learn 1 Times Multiplication Table

The **multiplication Table of 1 ** is perfect for students to understand the __ essence of the multiplication algorithm__, which is nothing more than the repeated addition of the same number so many times as indicated by your multiplier.

1 TIMES TABLE AS THE REPEATED ADDITION OF EQUAL ADDENDS

**1 x 0** = **0**

**1 x 1** = 1 = **1**

**1 x 2** = 1 + 1 = **2**

**1 x 3** = 1 + 1 + 1 = **3**

**1 x 4** = 1 + 1 + 1 + 1 = **4**

**1 x 5** = 1 + 1 + 1 + 1 + 1 = **5**

**1 x 6** = 1 + 1 + 1 + 1 + 1 + 1 = **6**

**1 x 7** = 1 + 1 + 1 + 1 + 1 + 1 + 1 = **7**

**1 x 8** = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = **8**

**1 x 9** = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = **9**

**1 x 10** = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = **10**

#### Memorize and learn 2 Times Multiplication Table

The ** multiplication Table of 2 ** allows children to finish understanding what multiplication consists of since __ each result will be the result of adding the same number twice__.

A ** strategy ** that we can use to facilitate their learning is that regardless of the multiplier digit, the __ result (product) of the multiplication will always be an even number__ (for example, 2 x 4 = 8).

We can also introduce the ** concept of "double a number" ** throughout the learning of the table of 2 since the __ result of each multiplication will always be double the digit of the multiplier__ (for example, 2 x 6 = 12, where 12 equals two times 6).

2 TIMES TABLE AS THE REPEATED ADDITION OF EQUAL ADDENDS

**2 x 0** = **0**

**2 x 1** = 2 = **2**

**2 x 2** = 2 + 2 = **4**

**2 x 3** = 2 + 2 + 2 = **6**

**2 x 4** = 2 + 2 + 2 + 2 = **8**

**2 x 5** = 2 + 2 + 2 + 2 + 2 = **10**

**2 x 6** = 2 + 2 + 2 + 2 + 2 + 2 = **12**

**2 x 7** = 2 + 2 + 2 + 2 + 2 + 2 + 2 = **14**

**2 x 8** = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = **16**

**2 x 9** = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = **18**

**2 x 10** = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = **20**

#### Memorize and learn 3 Times Multiplication Table

The **multiplication Table of 3** is equivalent to adding the same number 3 times repeatedly.

We can also introduce the ** concept of "triple a number" ** throughout the learning of the table of 3 since the __ result of each multiplication will always be the triple of the multiplier digit__ (for example, 3 x 5 = 15, where 15 equals three times 5).

3 TIMES TABLE AS THE REPEATED ADDITION OF EQUAL ADDENDS

**3 x 0** = **0**

**3 x 1** = 3 = **3**

**3 x 2** = 3 + 3 = **6**

**3 x 3** = 3 + 3 + 3 = **9**

**3 x 4** = 3 + 3 + 3 + 3 = **12**

**3 x 5** = 3 + 3 + 3 + 3 + 3 = **15**

**3 x 6** = 3 + 3 + 3 + 3 + 3 + 3 = **18**

**3 x 7** = 3 + 3 + 3 + 3 + 3 + 3 + 3 = **21**

**3 x 8** = 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = **24**

**3 x 9** = 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = **27**

**3 x 10** = 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = **30**

#### Memorize and learn 4 Times Multiplication Table

The **multiplication Table of 4 ** is to add the same number 4 times consecutively.

A ** strategy ** that we can use to facilitate their learning is that regardless of the multiplier digit, the __ result (product) of the multiplication will always end in 0 or an even number__: 0 , 2, 4, 6 or 8.

In addition, we can facilitate the ** concept of "quadruple of a number" ** throughout the learning of the table of 4 since the __ result of each multiplication will always be the quadruple of the multiplier digit__ (for example, 4 x 6 = 24, where 24 equals four times 6).

4 TIMES TABLE AS THE REPEATED ADDITION OF EQUAL ADDENDS

**4 x 0** = **0**

**4 x 1** = 4 = **4**

**4 x 2** = 4 + 4 = **8**

**4 x 3** = 4 + 4 + 4 = **12**

**4 x 4** = 4 + 4 + 4 + 4 = **16**

**4 x 5** = 4 + 4 + 4 + 4 + 4 = **20**

**4 x 6** = 4 + 4 + 4 + 4 + 4 + 4 = **24**

**4 x 7** = 4 + 4 + 4 + 4 + 4 + 4 + 4 = **28**

**4 x 8** = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = **32**

**4 x 9** = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = **36**

**4 x 10** = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = **40**

#### Memorize and learn 5 Times Multiplication Table

The ** multiplication Table of 5 ** is one of the easiest to learn (along with the tables of 2 and 10) since the __ products are increased by 5 by 5__ and therefore, the __ result will always end in 0 or 5 __ in the ones digit.

We can take advantage of their learning to introduce the ** concept of "quintuple of a number" ** throughout the learning of the table of 5 since the __ result of each multiplication will always be the five times of the multiplier digit__, that is, quintuple the same number (for example, 5 x 7 = 35, where 35 equals five times 7).

5 TIMES TABLE AS THE REPEATED ADDITION OF EQUAL ADDENDS

**5 x 0** = **0**

**5 x 1** = 5 = **5**

**5 x 2** = 5 + 5 = **10**

**5 x 3** = 5 + 5 + 5 = **15**

**5 x 4** = 5 + 5 + 5 + 5 = **20**

**5 x 5** = 5 + 5 + 5 + 5 + 5 = **25**

**5 x 6** = 5 + 5 + 5 + 5 + 5 + 5 = **30**

**5 x 7** = 5 + 5 + 5 + 5 + 5 + 5 + 5 = **35**

**5 x 8** = 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = **40**

**5 x 9** = 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = **45**

**5 x 10** = 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = **50**

#### Memorize and learn 6 Times Multiplication Table

The ** multiplication Table of 6 ** is equivalent to adding the same number 6 times in an echelon way.

A ** simple trick ** that we can use to facilitate their learning is that regardless of the multiplier digit, the __ result (product) of the multiplication will always end in 0 or a multiple of 2__: 0, 2, 4, 6 or 8.

In addition, we can facilitate the ** concept of "sextuple of a number" ** throughout the learning of the table of 6 since the __ result of each multiplication will always be the sextuple of the multiplier digit__ (for example, 6 x 8 = 48, where 48 equals six times 8).

6 TIMES TABLE AS THE REPEATED ADDITION OF EQUAL ADDENDS

**6 x 0** = **0**

**6 x 1** = 6 = **6**

**6 x 2** = 6 + 6 = **12**

**6 x 3** = 6 + 6 + 6 = **18**

**6 x 4** = 6 + 6 + 6 + 6 = **24**

**6 x 5** = 6 + 6 + 6 + 6 + 6 = **30**

**6 x 6** = 6 + 6 + 6 + 6 + 6 + 6 = **36**

**6 x 7** = 6 + 6 + 6 + 6 + 6 + 6 + 6 = **42**

**6 x 8** = 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = **48**

**6 x 9** = 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = **54**

**6 x 10** = 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = **60**

#### Memorize and learn 7 Times Multiplication Table

The ** multiplication Table of 7 ** means adding the same number 7 times consecutively.

The __ table of 7 and 8 are the most difficult to learn__ due to the size of the digit to be added (from 7 to 7) and the little relationship between their products since both even results can be given as odd and, therefore, there is no rule or pattern that enables their learning.

On this occasion, we can also facilitate the ** concept of "septuple of a number" ** throughout the learning of the table of 7 since the __ result of each multiplication will always be the septuble of the digit of the multiplier__ (for example, 7 x 8 = 56, where 56 equals seven times 8).

7 TIMES TABLE AS THE REPEATED ADDITION OF EQUAL ADDENDS

**7 x 0** = **0**

**7 x 1** = 7 = **7**

**7 x 2** = 7 + 7 = **14**

**7 x 3** = 7 + 7 + 7 = **21**

**7 x 4** = 7 + 7 + 7 + 7 = **28**

**7 x 5** = 7 + 7 + 7 + 7 + 7 = **35**

**7 x 6** = 7 + 7 + 7 + 7 + 7 + 7 = **42**

**7 x 7** = 7 + 7 + 7 + 7 + 7 + 7 + 7 = **49**

**7 x 8** = 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = **56**

**7 x 9** = 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = **63**

**7 x 10** = 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = **70**

#### Memorize and learn 8 Times Multiplication Table

The ** multiplication Table of 8 ** is to add the same number 8 times in an echelon way.

A ** cognitive strategy ** that we can use to facilitate their learning is that regardless of the multiplier digit, the __ result (product) of the multiplication will always end in 0 or a multiple of 2__: 0, 2, 4, 6 or 8.

We can introduce with the table of 8 the ** concept of "octuple of a number" ** since the __ result of each multiplication will always be the octuple of the multiplier digit__ (for example, 8 x 9 = 72, where 72 equals eight times 9).

8 TIMES TABLE AS THE REPEATED ADDITION OF EQUAL ADDENDS

**8 x 0** = **0**

**8 x 1** = 8 = **8**

**8 x 2** = 8 + 8 = **16**

**8 x 3** = 8 + 8 + 8 = **24**

**8 x 4** = 8 + 8 + 8 + 8 = **32**

**8 x 5** = 8 + 8 + 8 + 8 + 8 = **40**

**8 x 6** = 8 + 8 + 8 + 8 + 8 + 8 = **48**

**8 x 7** = 8 + 8 + 8 + 8 + 8 + 8 + 8 = **56**

**8 x 8** = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = **64**

**8 x 9** = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = **72**

**8 x 10** = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = **80**

#### Memorize and learn 9 Times Multiplication Table

The ** multiplication Table of 9 ** lies in adding the same number 9 times consecutively.

On this occasion we can also introduce the ** concept of "nonuple of a number" ** throughout the learning of the table of 9 since the __ result of each multiplication will always be nine times of the multiplier digit__, that is, nonuple the same number (for example, 9 x 3 = 27, where 27 equals nine times 3).

9 TIMES TABLE AS THE REPEATED ADDITION OF EQUAL ADDENDS

**9 x 0** = **0**

**9 x 1** = 9 = **9**

**9 x 2** = 9 + 9 = **18**

**9 x 3** = 9 + 9 + 9 = **27**

**9 x 4** = 9 + 9 + 9 + 9 = **36**

**9 x 5** = 9 + 9 + 9 + 9 + 9 = **45**

**9 x 6** = 9 + 9 + 9 + 9 + 9 + 9 = **54**

**9 x 7** = 9 + 9 + 9 + 9 + 9 + 9 + 9 = **63**

**9 x 8** = 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = **72**

**9 x 9** = 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = **81**

**9 x 10** = 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = **90**

#### Memorize and learn 10 Times Multiplication Table

The ** multiplication Table of 10 ** is another of the easiest to learn (along with the tables of 2 and 5) since the __ products are increased by 10 by 10__ and therefore, the __ result will always end in 0__ in the ones digit.

We can take advantage of their learning to introduce the ** concept of "decuple a number" ** throughout the learning of the table of 10 since the __ result of each multiplication will always be ten times the multiplier digit__ (for example, 7 x 10 = 70, where 70 equals ten times 7).

10 TIMES TABLE AS THE REPEATED ADDITION OF EQUAL ADDENDS

**10 x 0** = **0**

**10 x 1** = 10 = **10**

**10 x 2** = 10 + 10 = **20**

**10 x 3** = 10 + 10 + 10 = **30**

**10 x 4** = 10 + 10 + 10 + 10 = **40**

**10 x 5** = 10 + 10 + 10 + 10 + 10 = **50**

**10 x 6** = 10 + 10 + 10 + 10 + 10 + 10 = **60**

**10 x 7** = 10 + 10 + 10 + 10 + 10 + 10 + 10 = **70**

**10 x 8** = 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 = **80**

**10 x 9** = 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 = **90**

**10 x 10** = 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 = **100**

#### Compare the multiplication tables of 2, 4 and 8, establishing relationships between them

After reviewing and learning the ** multiplication tables from 1 to 10**, we provide you with ** educational worksheets** ready to download and print in PDF format so that you can assimilate and develop the ** concepts double and half ** by relating ** tables 2, 4 and 8**.

#### Compare the multiplication tables of 3, 6 and 9, establishing relationships between them

We propose some ** didactic exercises ** so that you can correctly interpret the ** concepts of double, triple, half and third ** when relating the ** tables of 3, 6 and 9**.

#### Compare the multiplication tables of 5 and 10, establishing relationships between them

We offer you different ** activities ** so that you can understand step by step the ** concepts of double and half ** by relating the ** times tables of 5 and 10 ** using a visual board.

Do you want access to more Fourth Grade learning?

Select more ** exercises**, ** worksheets** and ** activities ** of ** Mathematics ** for each of the 4 learning blocks of the Educational Curriculum (*"Numbers and Operations", "Quantities and Measurements", "Geometric and Spatial Reasoning" and "Data Analysis and Probability"*) aimed at improving the logical-mathematical competencies and skills that are developed throughout ** "Grade 4" or "Year 5"**:

##### NUMBERS AND OPERATIONS

##### QUANTITIES AND MEASUREMENTS

##### GEOMETRIC AND SPATIAL REASONING

##### DATA ANALYSIS AND PROBABILITY

Learning is a wonderful treasure that fortunately follows its owners throughout life

Anne Sullivan