BASIC MULTIPLICATION |

## EASY MATHEMAGICS MULTIPLICATION TRICKS

**Mathemagics workbook**

__CHAPTER 2__, so here in this

**Maths Tricks,**we will learn about BASIC FORMULAS OF MULTIPLICATION.

**CHAPTER 3**

**EASY MATHEMATICS MULTIPLICATION TRICKS**

**|**

**always helps you to calculate numbers very easily. I am trying to find out the easiest way to**

**calculate**, practically I have spent all my childhood devising ever-faster ways to perform

**mental multiplication**; they diagnosed me as hyperactive and told my parents that I had a short attention span and that I probably would not succeed in school. It was my limited ability to focus that inspired me to grow fast approaches to do the

**math**.

Possibly I could not sit still long enough to solve math problems with pencil and paper. Once you have mastered in

**with the aid of**

**EASY MATHEMAGICS MULTIPLICATION TRICKS****Mathemagics workbook**formulas/techniques described in this

**EASY MATHEMAGICS MULTIPLICATION TRICKS**chapter, you will not want to trust pencil and paper again!

**Multiplication chapter, you will learn how to multiply 1-digit numbers by 2-digit numbers and 3-digit numbers in your head. You will also learn an extraordinarily fast way to square 2 numbers of digits. Even friends with calculators will not be able to follow you. Believe me, practically everyone will be stunned by the fact that such problems can not only be solved mentally but can be calculated so quickly with these formulas of**

**EASY MATHEMAGICS MULTIPLICATION TRICKS****maths tricks**. Sometimes I wonder if we were not cheated at school; these

**maths tricks**formulas/ methods are so simple once you learn them.

**mathematical tricks**in this chapter: you must know the multiplication tables up to 10. In fact, to really advance, you must know the multiplication tables backward and forwards. For those of you, who need to shake the loose cobwebs, see the figure below?

**maths fun,**since augmentation gives sufficient chances to imaginative critical thinking.

### 2-BY-1-MULTIPLICATION PROBLEMS

**Mathemagics workbook**chapters, he acquired the habit of

**adding**and

**subtracting**from left to right. It will also do virtually all the calculations in this

**Mathemagics workbook**chapter from left to right. This is, without a doubt, the opposite of what you learned in school. But soon you will see how much easier it is to think from left to right than from right to left. (

**maths tricks, On the one hand,**

**Mathemagics workbook**formulas, you can start saying your answer out loud before you have finished the calculation - that way; it seems you are calculating even faster than you!)

**Mathematics workbook**

__Chapter 1__we learned how to do this calculation.

**Mathemagics workbook**, you should observe the problem while calculating it to recover the next operation. With

**Mathemagics workbook**practice you can give up this step and calculate the whole thing in your mind.

**multiplication**tasks that you can easily perform mentally. Since 48 = 40 + 8, multiply 40 x 4 = 160, and then add 8 x 4 = 32. The answer is 192. (Note: If you're wondering why this process works, see the section "Why do these things work

**? Math tricks**? "End of the

__Mathemagics workbook____chapter.__)

**maths tricks**

**mental multiplication**problem involves numbers that begin with 5. When 5 are multiplied by an even digit, the first product will be a multiple of 100, which makes the problem of the resulting sum simple:

**maths tricks**, you'll be more adept at juggling problems like these in your head, and those that require you to carry numbers will be almost as easy as the others.

###
**Rounding Up**

**chapter 2**how useful rounding can be when it comes to

**subtracting**. The same goes for

**multiplication**, especially when the numbers you multiply end in 8 or 9.

**Mathemagics workbook**formula

**/**method works especially well for numbers that are one or two digits of a multiple of 10. It does not work as well when you need to round more than two digits because the subtraction part of the problem gets out of control. As it is, you may prefer to continue with the addition method. Personally, I only use the sum method because in the time spent deciding which method to use, I could have done the calculation!

**maths tricks**technique, I strongly recommend practicing more multiplication problems of 2 by 1. Below are 20 problems for you to tackle. I have provided the answers on the back, including a breakdown of each component of the multiplication. If, after solving these problems, you would like to practice more, invest yours. Calculate mentally, and then check your answer with a

**calculator**. Once you feel confident that you can quickly get these problems in your head, you will be ready to move on to the next level of mental calculation.

### 3-BY- MULTIPLICATION PROBLEMS

**multiplication**problems of 2 by 1 in your head, you will find that

**multiplying**three digits by a single digit is not much harder. You can start with the following problem of 3 per l (which is really just a problem of 2 per l disguised):

**Mathemagics workbook**formulas of 3 by l problem similar to the one you just did, except that we have replaced the 0 with a 6 so you have another step to perform:

**Mathemagics workbook**shows you a simple add the 6 x 7 product, which you already know to be 42, to the first sum of 2240. Since you do not need to carry any number, it is easy to add 42 to 2240 to reach a total of 2282.

**Maths Tricks**problem:

**Mathemagics workbook**multiplication problems of 2 by 1, we saw that problems involving numbers that start with 5 are sometimes especially easy to solve. The same is true for 3-by-1 problems:

**MATHEMAGICS MULTIPLICATION TRICKS**problem, where the multiplier is a 5:

**MATHEMAGICS MULTIPLICATION TRICKS**problems, you should bring a number to the end of the problem instead of the beginning:

**MATHEMAGICS MULTIPLICATION TRICKS**problem, it is easy to add 5400 + 360 = 5760, but you may have to repeat 5760 several times while multiplying 8 x 9 = 72. Then add 5760 + 72. Sometimes in this stage, I will begin to say my Answer out loud before finishing. As I know I will have to charge when I add 60 + 72, I know that 5700 will become 5800, that's why I say "fifty-eight ..." Then I pause to calculate 60 + 72 = 132. Because I've already loaded, I just say the last two digits, "... and thirty-two!" And there's the answer: 5832.

**multiplication**problems by 3 with some special problems that you can solve in an instant because of they require an additional step instead of two:

**MATHEMAGICS MULTIPLICATION TRICKS**problems of 3 by 1 in your head; and then check your calculations and answers with ours (at the end of the

**Mathemagics workbook**session). I can assure you from experience that doing mental calculations is like riding a bicycle or writing. It may seem impossible at first, but once you master it, you will never forget how to do it.

###
**SQUARING
2-DIGIT NUMBERS**

**Square numbers**in your head (

**multiply**a number by itself) is one of the easiest but most impressive mental calculation feats you can do. I can still remember where I was when I discovered how to do it. I was 14 years old; I was sitting in a bus on the way to visit my father at work in downtown Cleveland. It was a trip I made often, so my mind began to wander. I'm not sure why, but I started thinking about the numbers that add up to 20. How big can the product of two of those numbers be?

^{2}, 2

^{2}, 3

^{2}, 4

^{2}, 5

^{2}, 6

^{2}(see figure below)

**MATHEMAGICS MULTIPLICATION**

**pattern. Then I tried numbers that add up to 26 and I got similar results. First I calculated 13**

^{2}= 169, then I calculated 12 x 14 = 168, 11 x 15 = 165, 10 x 16 = 160, 9 x 17 = 153, and so on. As before, the distance of these products. From 169 it was 1

^{2}, 2

^{2}, 3

^{2}, 4

^{2}and so on (see the figure below).

**MATHEMAGICS MULTIPLICATION**

**algebraic an explanation for this phenomenon (see the last section of this chapter). At that time, I did not know my algebra enough to show that this pattern would always occur, but I experimented with enough examples to convince me of it.**

^{2}were added (since 10 and 16 are each to 3 of 13). Since 3

^{2}= 9, 13

^{2}= 160 + 9 = 169. Perfect!

**Mathemagics workbook**method and a little practice, you can. And it works if you initially, round down or up. For example,

^{2}, solving it by rounding up and down:

**Mathemagics workbook**instance, the advantage of rounding is that it has practically ended as soon as you have completed the multiplication problem because it is simple to add 9 to a number that ends in 0!.

**MATHEMAGICS MULTIPLICATION**

**problem. Calculate 56**

^{2}in your head before seeing how we did it, then:

^{2}and 35

^{2}, below:

^{2}, round up to 80 and lower to 70 will give you "Fifty-six hundred ... and twenty-five!"

^{2}. Test it yourself, and then check how we did it.

###
Why these **MATHEMAGICS MULTIPLICATION** work
This section is for teachers, students, math
enthusiasts and anyone with a curiosity
Why do our
maths tricks methods work? Some
people may find an interesting theory like Application. Fortunately, you do not
need to understand why our maths tricks
methods are successful Understanding how to apply all the magic maths tricks has a rational the explanation behind them, maths tricks
are not different. This is where the mathematician
reveals it Secrets deeper!

In this chapter on multiplication problems, the
distribution law is what allows us
To analyze problems in their component parts. The
distribution code determines that order
Any number a, b, and c:
(b + c) x a = (b x a) + (c x a)
That is, the outer term, a, is distributed, or
applied separately, to both under conditions, b and c. For example, in the
first problem of mental beating we have 42 × 7, we reach the answer by
processing 42 as + 40 + 2, and then we distribute the number 7 as follows:
42 × 7 = (40 + 2) × 7 = (40 × 7) + (2 × 7) = 280 +
14 = 294
You may wonder why distribution law works in the
first place. Understanding Intuitively, imagine having 7 bags, each containing
42 coins, 40 of which are gold 2 of which are silver. How many coins do you
have in total? There are two ways to Get the answer first, through the same
definition of multiplication, there 42 x 7 coins. On the other hand, there are
40 x 7 gold coins and 2 x 7 silver coins. So, we have (40 x 7) + (2 x 7) coins
in total. By answering our question in two ways, They have 42 × 7 = (40 × 7) +
(2 × 7). Note that numbers 7, 40, and 2 can be replaced Any number (A, B, or C)
applies the same logic. That's why distribution. Law works! Using similar
thinking with gold, silver and platinum coins, we can get:
(b + c + d) x a = (bxa) + (c x a) + (d x a)
Therefore, to resolve the 326x7 problem, divide 326
as 300 + 20 + 6, then
Distribution 7 as follows: 326 x 7 = (300 + 20 + 6)
× 7 = (300 × 7) + (20 × 7) + (6 × 7)Which we then add to our answer.
As for the box, the following algebra justifies my
method. For any number
And d
A^{2} = (A + d) x (A - d) + d^{2}
Here, A is the square number. D can be any number,
but I chose it to be
The distance from a and the nearest multiples of 10.
Therefore, for (77), you set d = 3 and have
The formula tells us, 77^{2} = (77 + 3) ×
(77 - 3) + 3^{2} = (80 × 74) + 9 = 5929.
32
The following algebraic relationship also explains
my quadratic method:
(z + d) = z^{2} + 2zd + d^{2} = z (z
+ 2d) + d^{2}
Therefore, in box 41, we specified z = 40 and d = 1
to obtain:
(41)^{2} = (40 + 1)^{2} = 40 x (40 +
2) + 1^{2}= 1681

Similarly,
(z-d) ^{2} = z (z-2d) + d^{2}
To see if z = 80 and d = 3,
(77) ^{2} = (80 - 3) ^{2} = 80 × (80
- 6) + 3^{2} =80 x 74 + 9 = 5929

**MATHEMAGICS MULTIPLICATION**work

^{2}= (A + d) x (A - d) + d

^{2}

^{2}= (77 + 3) × (77 - 3) + 3

^{2}= (80 × 74) + 9 = 5929.

^{2}+ 2zd + d

^{2}= z (z + 2d) + d

^{2}

^{2}= (40 + 1)

^{2}= 40 x (40 + 2) + 1

^{2}= 1681

^{2}= z (z-2d) + d

^{2}

^{2}= (80 - 3)

^{2}= 80 × (80 - 6) + 3

^{2}=80 x 74 + 9 = 5929