JEE Main Important Physics formulas
ApplyAs per latest 2024 syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters
Maths is a universal language. Without maths and equations there is no science and technology. We all know that the basics of Maths are addition, subtraction, multiplication and division. Even though there are many advanced maths we would learn in our higher studies, the above 4 occupy an unavoidable place.
In multiplication, most of us struggled with tables when we were young. But there are many shortcuts and innovative techniques to make it fun and productive. It is also called a product. It often identifies with x or *. It is actually a shortcut to add a number of things or something. Because if we want to know how many benches are there in a classroom. Instead of adding one by one we can multiply the number of rows and columns to get the answer easily.
For example: If there are 4 rows and 5 columns, we could conclude the answer with the help of tables. Thus,
\begin{equation}
4^* 5=20
\end{equation}
Different methods of multiplication
Solved problems
Table of 264
FAQs
1) First Method
While multiplying two numbers instead of the normal method, just draw a line and multiply the second digit of the first number and first digit of the second number, and follow the same steps and multiply other two numbers.
Then, multiply the first two digits of both the digits and second two digits of both the digits and put it on a separate side of the lines.
Example:
\begin{equation}
47 * 32
\end{equation}
\begin{equation} 7*3 \end{equation} | 7*3 | 2 | 1 |
\begin{equation} 4*3 \end{equation} | 4*2 | 0 | 8 |
\begin{equation} 4* 3 \end{equation}, \begin{equation} 7*2 \end{equation} | 4*3, 7*2 | 12 | 14 |
Addition of the rows | 15 | 04 |
2) Second Method
Another method is multiplying two-digit numbers below 100.
To get the first digit of the answer, multiply the first two digits of both numbers, then multiply the last two digits of both the numbers to get the last digit of the answer.
To find the middle part, multiply the first and second digit of both the numbers and second and first digit of both the numbers.
Then, add both the products to get the middle number.
Example:
\begin{equation}
43×21
\end{equation}
43×21
\begin{equation}
4×2 = 8 4×2 = 8
\end{equation}
\begin{equation}
3×1 = 3 3×1 = 3
\end{equation}
\begin{equation}
4×1+3×2 = 4+6 = 10 4×1+3×2 = 4+6 = 10
\end{equation}
Let’s arrange it, 8,10,3
Here, the middle part carries two-digit, so it might be a problem. To make it fit, add the first digit of the middle number to the first number which means, 1 is added to 8 which gives our answer, 903.
Solved Problems
1. 264×2
Ans: It is quite easy to get the answer, as it is just twice the number. We could add the numbers twice.
By using this same method, we could finish writing the table of 264.
2. Keerthi has Rs.300, how much the balance will be, if she bought 6 pencils each of cost Rs.6?
Ans: \begin{equation}
6 \times 6=36
\end{equation}
\begin{equation}
300-36=264
\end{equation}
Thus, the balance will be Rs.264
3. What are the possibilities to get 264 in multiplication?
Ans: 2×132, 3×88, 4×66, 6×44
Additive method of 264 times table
264 |
264 + 264 = 528 |
264 + 264 + 264 = 792 |
264 + 264 + 264 + 264 = 1056 |
264 + 264 + 264 + 264 + 264 = 1320 |
264 + 264 + 264 + 264 + 264 + 264 = 1584 |
264 + 264 + 264 + 264 + 264 + 264 + 264 = 1848 |
264 + 264 + 264 + 264 + 264 + 264 + 264 + 264 = 2112 |
264 + 264 + 264 + 264 + 264 + 264 + 264 + 264 + 264 = 2376 |
264 + 264 + 264 + 264 + 264 + 264 + 264 + 264 + 264 + 264 = 2640 |
Multiplication Table of 264
264 | × | 1 | = | 264 |
264 | × | 2 | = | 528 |
264 | × | 3 | = | 792 |
264 | × | 4 | = | 1056 |
264 | × | 5 | = | 1320 |
264 | × | 6 | = | 1584 |
264 | × | 7 | = | 1848 |
264 | × | 8 | = | 2112 |
264 | × | 9 | = | 2376 |
264 | × | 10 | = | 2640 |
264 | × | 11 | = | 2904 |
264 | × | 12 | = | 3168 |
264 | × | 13 | = | 3432 |
264 | × | 14 | = | 3696 |
264 | × | 15 | = | 3960 |
264 | × | 16 | = | 4224 |
264 | × | 17 | = | 4488 |
264 | × | 18 | = | 4752 |
264 | × | 19 | = | 5016 |
264 | × | 20 | = | 5280 |
To write a table, we are in just need of 1,2,3 or knowledge of simple 2 to 5 table
Here, to write the 9th table,
\begin{equation}
9×1 = 9 9×1 = 9
\end{equation}
\begin{equation}
9×2 = 18 9×2 = 18
\end{equation}
\begin{equation}
9×3 = 27 9×3 = 27
\end{equation}
With this we could understand that the last digits are in descending order, and the first digits are in ascending order. This is a well-known trick to write tables.
No, it is not a square number.
The common factor for 264 is 2. Thus, all the numbers are divisible by 2.
The advisable technique is repetition of writing and regular reading.
It is not a cube root.
As per latest 2024 syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters
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