JEE Main Important Physics formulas
ApplyAs per latest 2024 syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters
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 to itself a certain number of times.
The multiplication of 97 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 97 to itself the number of times the multiplier specifies to multiply it. For example, to multiply 97 by 6, we would add it to itself six times, giving us 582.
The table below displays the results of multiplying 97 by each number from 1 to 10.
97 x 1 = 97 |
97 x 2 = 194 |
97 x 3 = 291 |
97 x 4 = 388 |
97 x 5 = 485 |
97 x 6 = 582 |
97 x 7 = 679 |
97 x 8 = 776 |
97 x 9 = 873 |
97 x 10 = 970 |
Ninety Seven times One is equal to Ninety Seven.
Ninety Seven times Two is equal to One Hundred Ninety Four.
Ninety Seven times Three is equal to Two Hundred Ninety One.
Ninety Seven times Four is equal to Three Hundred Eighty Eight.
Ninety Seven times Five is equal to Four Hundred Eighty Five.
Ninety Seven times Six is equal to Five Hundred Eighty Two.
Ninety Seven times Seven is equal to Six Hundred Seventy Nine.
Ninety Seven times Eight is equal to Seven Hundred Seventy Six.
Ninety Seven times Nine is equal to Eight Hundred Seventy Three.
Ninety Seven times Ten is equal to Nine hundred seventy.
There are various methods that can be applied to further simplify and streamline the process of multiplication.
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 order in which the numbers are multiplied.
For example, the result of 97 times 6 is 582, much like the result of 6 x 97. 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 of times it has been asked to itself. For instance, the result of 97 times 6 is 582, much like the result of 97, which is added 6 times by itself.
97 |
97 + 97 =194 |
97 + 97 + 97 =291 |
97 + 97 + 97 + 97 =388 |
97 + 97 + 97 + 97 + 97 =485 |
97 + 97 + 97 + 97 + 97 + 97 =582 |
97 + 97 + 97 + 97 + 97 + 97 + 97 =679 |
97 + 97 + 97 + 97 + 97 + 97 + 97 + 97 =776 |
97 + 97 + 97 + 97 + 97 + 97 + 97 + 97 + 97 =873 |
97 + 97 + 97 + 97 + 97 + 97 + 97 + 97 + 97 + 97 = 970 |
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 97 by 10 we just need to add a zero to the end of 97 to get 970. Similarly, to multiply 97 by 100, we must append two zeros to the end of 97, yielding 9700.
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.
Further, we can simplify the multiplication of 97 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 97 by 5, we can divide the multiplication by the distributive property into two smaller multiplications: 97 x 5 = (97 x 3) + (97 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 97 pastries. How many pastries will there be on 20 such plates?
Solution: \begin{array}{l}
97 \times \20 \\
=1940
\end{array}
EXAMPLE 2: 10 sums are solved each day. How many sums would be solved in 97 days?
Solution: \begin{array}{l}
97 \times \10 \\
=970
\end{array}
EXAMPLE 3: If you have 5 items that cost $97 each, how much will the total cost be?
Solution: Using the table, we see that 5 \times 97 = 485
Therefore, the total cost will be $485.
EXAMPLE 4: If you have a company that produces 97 units of a product every day, how many units will it produce in a week?
Solution: Using the multiplication table of 97, we can find that:
97 \times 1 = 97(units per day)
97 \times 7 = 679(units per week)
Therefore, the company will produce 679 units of the product in a week if they produce 97 units every day.
EXAMPLE 5: If a car travels at a speed of 97 km/h, how far will it travel in 4 hours?
Solution: Using the table, we see that 97 \times 4 = 388.
Therefore, the car will travel 388 km in 4 hours.
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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