JEE Main Important Physics formulas
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In mathematics, multiplication is a method of calculating the product of two or more numbers. It is one of the most fundamental arithmetic operations that we use every day. The most common application is multiplication tables.
The multiplication of two numbers in arithmetic represents the repeated addition of one number with respect to another. These can be whole numbers, natural numbers, integers, fractions, etc. If m is multiplied by n, it means that m has been added to itself 'n' times or vice versa.
Multiplication (denoted by “ × "), like addition, subtraction, and division, is a mathematical operation. The product of two numbers, say 'a' and 'b,' is written as 'a' multiplied by 'b.'
In mathematics, multiplication is defined as repeatedly adding a number with respect to another number.
The 82 table explains the addition of 82 when we multiply it with natural numbers. Students will gain a strong understanding of multiplication by learning Table 82, which will be useful in their future studies.
It is simple to multiply single-digit numbers. Multiplying two or more digit numbers, on the other hand, can be a difficult and time-consuming task. Here are some multiplication tricks that students can use to find the product.
Number multiplication can be done in any order. (3 x 4 = 4 x 3)
When multiplying a number by multiples of 10, simply place the number of zeros equal to multiples of 10 next to the multiplier (for example, \begin{equation}
6 \times 100=600
\end{equation}
If you have three numbers to multiply, multiply the small numbers first for a faster calculation, and then multiply to the third number.
If the multiplication includes two- or three-digit numbers, write them in the expanded form before multiplying. \begin{equation}
45 \times 9=(40+5) \times 9)
\end{equation}
82 × 1 = 82 |
82 × 2 = 164 |
82 × 3 = 246 |
82 × 4 = 328 |
82 × 5 = 410 |
82 × 6 = 492 |
82 × 7 = 574 |
82 × 8 = 656 |
82 × 9 = 738 |
82 × 10 = 820 |
Using repeated addition |
82 |
82 + 82 = 164 |
82 + 82 + 82 = 246 |
82 + 82 + 82 + 82 = 328 |
82 + 82 + 82 + 82 + 82 = 410 |
82 + 82 + 82 + 82 + 82 + 82 = 492 |
82 + 82 + 82 + 82 + 82 + 82 + 82 = 574 |
82 + 82 + 82 + 82 + 82 + 82 + 82 + 82 = 656 |
82 + 82 + 82 + 82 + 82 + 82 + 82 + 82 + 82 = 738 |
82 + 82 + 82 + 82 + 82 + 82 + 82 + 82 + 82 + 82 = 820 |
Example 1: Every day, Izzie puts a 2 rupee coin in her piggy bank. In 82 days, how much money will she have amassed?
Solution: Izzie deposits a 2 rupee coin in her piggy bank in a single day.
This means in 1 day, Izzie has \begin{equation}
1 \times 2=2
\end{equation}
So, in 82 days, Izzie would have collected \begin{equation}
2 \times 82=164
\end{equation}
As a result, Izzie will have 164 rupees in 82 days.
Example 2. Nathan spends 5 hours studying every day. Calculate how many hours he will spend in 82 days using the 82 tables.
Solution: Nathan studies for 5 hours in a single day.
So, Nathan will study for 82 days = 82x5
As a result, Nathan will study for 410 hours in 82 days.
Example 3: Rachel jogs 3 miles per day. Use the table of 82 and find how many miles she jogs in 82 days.
Solution: Rachel jogs 3 miles per day. Therefore, the total miles travelled after 82 days is \begin{equation}
3 \times 82=246
\end{equation}
Example 4: Charles earns $19 per hour. How much money will he make if he works 82 hours a week?
Solution: Charles makes $19 per hour. Using the table of 82, Charles's total earnings after 82 hours are \begin{equation}
19 \times 82=1558
\end{equation}
Example 5: solve 82 x 4 + 10 to get the answer.
Solution: Given,
\begin{equation}
82 \times 4=328
\end{equation}
328 + 10
= 338
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