THE times tables it is of great importance for learning the basic operations of Mathematics. Currently, the fastest way to learn multiplication tables is to repeat the calculations to better understand the results of operations. There is a table for each of the four basic operations. of Mathematics. Are they:
addition;
subtraction;
multiplication;
division.
The purpose of the multiplication table is to help memorize basic operations.
Read too: What are the properties of multiplication?
Summary about times tables
The multiplication table is used to help in learning basic operations.
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There is a table for each of the basic operations of Mathematics:
addition times table;
multiplication table;
division times tables;
times table of the subtraction.
multiplication table
The most important table in Mathematics is multiplication, given that the other operations are more intuitive than memorized. Currently, other methods are used to memorize the multiplication table, as the repetition of the counts makes us end up memorizing results.
To download the multiplication table in PDF and print, click on here.
To find the results of multiplication, we start the studies on the simplest times tables, such as 1. Every number multiplied by 1 is equal to itself, then:
1 × 1 = 1
1 × 2 = 2
[...]
1 × 9 = 9
1 × 10 = 10
THE multiplication table of 2 is also quite simple because just add the number for it same. For the other times tables, just remember that multiplication is nothing more than addition successive number by itself. For example, 5 × 3 is nothing more than the sum of 5 by itself 3 times, that is, 5 + 5 + 5 = 15, so: 5 × 3 = 15.
Using this reasoning, it is possible to build all the other tables. It is also quite common to start from a known result to find an unknown one. For example, suppose the 7 × 8 multiplication is not known. We know that 7 × 7 = 49 and that the result of 7 × 8 is equal to 49 + 7 = 56, so 7 × 8 = 56.
With practice, it is quite common to memorize all the results of the times tables.
See too: Tips and tricks for division calculations
Cartesian multiplication table
Cartesian times tables are another way of representing multiplication times tables. To build it, we first build a table with 11 rows and 11 columnss, numbering it according to the following sketch:
× |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
1 | ||||||||||
2 | ||||||||||
3 | ||||||||||
4 | ||||||||||
5 | ||||||||||
6 | ||||||||||
7 | ||||||||||
8 | ||||||||||
9 | ||||||||||
10 |
Now, to find the elements that occupy each space in the table, we multiply the row value by the column value:
By writing only the results of the products, we will have the following Cartesian table:
× |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
1 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
2 |
2 |
4 |
6 |
8 |
10 |
12 |
14 |
16 |
18 |
20 |
3 |
3 |
6 |
9 |
12 |
15 |
18 |
21 |
24 |
27 |
30 |
4 |
4 |
8 |
12 |
16 |
20 |
24 |
28 |
32 |
36 |
40 |
5 |
5 |
10 |
15 |
20 |
25 |
30 |
35 |
40 |
45 |
50 |
6 |
6 |
12 |
18 |
24 |
30 |
36 |
42 |
48 |
54 |
60 |
7 |
7 |
14 |
21 |
28 |
35 |
42 |
49 |
56 |
63 |
70 |
8 |
8 |
16 |
24 |
32 |
40 |
48 |
56 |
64 |
72 |
80 |
9 |
9 |
18 |
27 |
36 |
45 |
54 |
63 |
72 |
81 |
90 |
10 |
10 |
20 |
30 |
40 |
50 |
60 |
70 |
80 |
90 |
100 |
addition times tables
The table of addition contains the sums between all the natural numbers from 1 to 10. The sums contained in the addition tables can be found when we learn to calculate the result of the sum between two numbers.
To download the multiplication table in PDF and print, click on here.
Subtraction tables
There is also the multiplication table for subtraction between two numbers:
To download the multiplication table in PDF and print, click on here.
Division tables
the multiplication table of division can help in performing the calculations. Division is the inverse operation of multiplication.
To download the multiplication table in PDF and print, click on here.
See too: Fun Facts About Dividing Natural Numbers
Exercises solved on the multiplication table
Question 1 - During the study of the multiplication table, Marcela made the following table:
× |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
1 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
2 |
2 |
4 |
6 |
8 |
10 |
12 |
14 |
16 |
18 |
20 |
3 |
3 |
6 |
9 |
12 |
15 |
18 |
21 |
24 |
27 |
30 |
4 |
4 |
8 |
12 |
16 |
20 |
24 |
28 |
32 |
36 |
40 |
5 |
5 |
10 |
15 |
20 |
25 |
30 |
35 |
40 |
THE |
50 |
6 |
6 |
12 |
18 |
24 |
30 |
36 |
42 |
48 |
54 |
60 |
7 |
7 |
14 |
21 |
28 |
35 |
42 |
49 |
56 |
63 |
Z |
8 |
8 |
16 |
24 |
32 |
40 |
X |
56 |
64 |
72 |
80 |
9 |
9 |
18 |
27 |
36 |
45 |
54 |
63 |
Y |
81 |
90 |
10 |
10 |
20 |
30 |
40 |
50 |
60 |
70 |
80 |
90 |
100 |
The value of the expression X +A – Y is:
A) 9
B) 19
C) 21
D) 24
E) 32
Resolution
Alternative C.
Analyzing the table, we have to:
A = 9 × 5 = 45
X = 8 × 6 = 48
Y = 9 × 8 = 72
X + A - Y = 48 + 45 - 72
X + A - Y = 93 - 72
X + A - Y = 21
Question 2 - A number is known as a perfect square when it is the result of multiplying a number by itself. For example, 81 is a perfect square because 9 × 9 = 81. Analyzing the times tables, we can say that the sum of perfect squares less than 25 is equal to:
A) 25
B) 30
C) 35
D) 40
E) 45
Resolution
Alternative B.
You perfect squares less than 25 are:
16, since 4 × 4 = 16;
9, since 3 × 3 = 9;
4, since 2 × 2 = 4;
1, since 1 × 1 = 1;
0, because 0 × 0 = 0.
16 + 9 + 4 + 1 = 30
By Raul Rodrigues de Oliveira
Maths teacher
