JEE Main Important Physics formulas
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Tables are the basic form of consecutive numbers that we use by multiplying a specific number. It is easy to solve any calculation with the help of a multiplication table chart.
A Multiplication chart is the best way to learn tables. In the chart, one set of a specific numbers is written in the left column, and we multiply it with consecutive numbers starting from 1, and get the final result by multiplying.
Tables are extremely helpful, especially when you are doing Math, and not just Maths, many technical subjects require mathematical calculations, and tables are a huge part of doing a calculation. Multiplying within seconds makes the calculation easier, and quick.
Although, it is true that everyone cannot learn every table, since there is a table for each number that exists in Maths. But there are a few tricks or solutions that we can use to calculate tables quickly and simply.
So, there is a way that we can use to make a table’s calculation easy and quick. The numbers which are followed by zero are very easy to calculate faster. We just need to memorize that particular number’s table and the resultant numbers will be followed by the number of zeros it has.
Let’s understand this with a Mathematical Table:
Table of 4 | Number of 0s | Table of 400 |
4 x 1 = 4 | 00 | 400 |
4 x 2 = 8 | 00 | 800 |
4 x 3 = 12 | 00 | 1200 |
4 x 4 = 16 | 00 | 1600 |
4 x 5 = 20 | 00 | 2000 |
4 x 6 = 24 | 00 | 2400 |
4 x 7 = 28 | 00 | 2800 |
4 x 8 = 32 | 00 | 3200 |
4 x 9 = 36 | 00 | 3600 |
4 x 10 = 40 | 00 | 4000 |
We can calculate more than this and for any number of times we want, for example, what will we get by multiplying 400 by 12?
Just multiply 12 by 4 and follow the result with two zeros.
12\times 4=48
48 and add two zeros, which is 4800
Simplify 400\times 15+398
Sol: = 400\times15+398
= 6000 + 398
= 6398
Evaluate 400\times(10+3)
Sol: = 400\times(10+3)
It can be solved with two methods:
Method 1: = 400\times(10+3)
= 400\times(13)
= 5200
Method 2: = 400\times(10+3)
= (400\times 10)+(400\times3)
= 4000 + 1200
= 5200
Solve \frac{800}{200}\times12
Sol: = \frac{800}{200}\times12
= 400\times12
= 4800
Solve 146+400\times 20-34
Sol: = 146+400\times 20-34
= 146 + 8000 – 34
= 8146 – 34
= 8112
Square of 400
Sol: = 400\times400
= 160000
Times table basically represents that when a number is added to itself the number of times equal to the number we intend to multiply it to, the repeated addition yields the same result as multiplication. It is shown below in the table.
400 × 1 = 400 | 400 |
400 × 2 = 800 | 400+400=800 |
400 × 3 = 1200 | 400+400+400=1200 |
400 × 4 = 1600 | 400+400+400+400=1600 |
400 × 5 = 2000 | 400+400+400+400+400=2000 |
400 × 6 = 2400 | 400+400+400+400+400+400=2400 |
400 × 7 = 2800 | 400+400+400+400+400+400+400=2800 |
400 × 8 = 3200 | 400+400+400+400+400+400+400+400=3200 |
400 × 9 = 3600 | 400+400+400+400+400+400+400+400+400=3600 |
400 × 10 = 4000 | 400+400+400+400+400+400+400+400+400+400=4000 |
It will be easy to understand everything with the Table of 400. It is defined below:
400 | X | 1 | = | 400 |
400 | X | 2 | = | 800 |
400 | X | 3 | = | 1200 |
400 | X | 4 | = | 1600 |
400 | X | 5 | = | 2000 |
400 | X | 6 | = | 2400 |
400 | X | 7 | = | 2800 |
400 | X | 8 | = | 3200 |
400 | X | 9 | = | 3600 |
400 | X | 10 | = | 4000 |
The Tables are not just limited to the arguments or times 10. It is an Algebraic Expression, which can be calculated by multiplying as many times as you need. For an instance, below is the table defined for up to 20 arguments:
400 | X | 11 | = | 4400 |
400 | X | 12 | = | 4800 |
400 | X | 13 | = | 5200 |
400 | X | 14 | = | 5600 |
400 | X | 15 | = | 6000 |
400 | X | 16 | = | 6400 |
400 | X | 17 | = | 6800 |
400 | X | 18 | = | 7200 |
400 | X | 19 | = | 7600 |
400 | X | 20 | = | 8000 |
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