JEE Main Important Physics formulas
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Multiplication is one of the basic arithmetic operations that we employ in everyday life. It is a fundamental mathematical operation that is applied in numerous contexts. Each and every student must master this essential skill in order to succeed in math. It involves adding a number a certain number of times to itself.
The multiplication of 96 will be covered here along with some interesting facts and techniques that can be used to speed up and simplify the multiplication process.
Let's look at the fundamental multiplication procedure first. Add 96 to itself the number of times the multiplier specifies to multiply it. For instance, to multiply 96 by 6, we would add it to itself six times, giving us 576.
The table below displays the results of multiplying 96 by each number from 1 to 10.
96 × 1 = 96 | 96 |
96 × 2 = 192 | 96 + 96 = 192 |
96 × 3 = 288 | 96 + 96 + 96 = 288 |
96 × 4 = 384 | 96 + 96 + 96 + 96 = 384 |
96 × 5 = 480 | 96 + 96 + 96 + 96 + 96 = 480 |
96 × 6 = 576 | 96 + 96 + 96 + 96 + 96 + 96 = 576 |
96 × 7 = 672 | 96 + 96 + 96 + 96 + 96 + 96 + 96 = 672 |
96 × 8 = 768 | 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 = 768 |
96 × 9 = 864 | 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 = 864 |
96 × 10 = 960 | 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 = 960 |
We see that multiplying 96 is a simple operation that proceeds in a familiar manner. However, there are numerous methods that can be applied to further simplify and streamline this process.
There is a twin to every multiplication, which might make it simpler to recall. The commutative property is one of the most widely used methods in multiplication. This property states that the result is unaffected by the ordering in which the numbers are multiplied.
For instance, the result of 96 times 6 is 576, much like the result of 6 x 96. As it enables us to recollect the elements in a way that is more convenient for us, this attribute can be quite helpful when multiplying larger numbers.
Another technique implicates adding the number to itself the number of times it has been asked. For instance, the result of 96 times 6 is 576, much like the result of 96 that is added 6 times by itself.
The use of multiples of 10, 100, or 1000 is another practical method. These numbers are simple to multiply as they are the outcome of appending zeros to an integer. For instance, to multiply 96 by 10 we just need to add a zero to the end of 96 to get 960. Similarly, to multiply 96 by 100, we must append two zeros to the end of 96, yielding 9600.
Another technique that can be used is cutting the number in half, and then multiplying it by 10. For example, 5 times 9, then cut the number 9 in half which will result in 4.5 and later on 4.5 is multiplied by 10. The answer that we get is 45 which is equal to the answer that is 5 times 9.
Additionally, we can simplify the multiplication of 96 by using the distributive property. This property asserts that the total of the products of the number and each of the addends is equal to the product of the number and the sum.
For instance, if we want to multiply 96 by 5, we can divide the multiplication by the distributive property into two smaller multiplications: 96 x 5 = (96 x 3) + (96 x 2). This method allows us to divide the multiplication into smaller, more manageable parts, which can be quite helpful when multiplying larger amounts.
EXAMPLE 1:
On a plate, there are 96 pastries. How many pastries will there be in 20 such plates?
Solution: \begin{array}{l}
96 \times \20 \\
=1920
\end{array}
EXAMPLE 2:
35 people are taught in a day. How many would be taught in 96 days?
Solution: \begin{array}{l}
96 \times \35 \\
=3325
\end{array}
We can determine the total quantity of something by multiplying it. When multiplying, we have to consider the number of groups with similar sizes and the number of items in each group.
The use of multiples of 10, 100, or 1000 is another practical method. These numbers are simple to multiply as they are the outcome of appending zeros to an integer, and because of the distributive property, we may make this procedure easier and more efficient. We can improve our multiplication skills and boost our mathematical success by learning and applying these strategies.
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