Multiplication, along with addition, subtraction, and division, is one of the four basic mathematical operations in arithmetic. The result of a multiplication operation is a product.
Product or multiplication: how to multiply numbers
Multiplication and product are the same things: they are both the outcome of multiplying numbers (and other objects, for that matter). Fortunately, the procedure is straightforward: simply multiply the value by the appropriate number of times. For example, 23 times 5 indicates that we have multiplied 24 by five.
23 * 5 = 23 + 23 + 23 + 23 + 23 = 115.Similarly, 10 times 20 translates to adding 10 twenty times:
10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 = 200.However, with multiplication, we can always invert the process of determining the product. In other words, the 24 times 4 can also mean adding 4 twenty-four times:
4 + 4+ 4+ 4+ 4+ 4+ 4+ 4+ 4+ 4+ 4+ 4+ 4+ 4+ 4+ 4+ 4 + 4+ 4+ 4+ 4+ 4+ 4+ 4= 96,and we can get 10 times 20 by adding 20 ten times:
20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 200.
Because the outcome is the same regardless of how the numbers are multiplied, we always choose how to multiply them. This signifies that the product or multiplication is a commutative operation in mathematics. It's worth noting that the same holds true for addition. However, it does not apply to subtraction, for example.
Multiplying decimals
Knowing how to utilize decimal points and places is crucial when it comes to addition, subtracting, dividing, and multiplying.
The multiplication of the mentioned decimals is precisely the same; that is, it is done in the same way as the multiplication of the whole number.
When multiplying decimals, add the number of digits in the query after the decimal points. This number indicates how many decimal places you should include in your solution.
So, if the total number of decimal places is one, the answer must also be one. Likewise, if the total number of decimal places is two, then the answer must also contain two decimal places.
Example: using the multiplication calculator
Let's try to find a result of 2000 times 13.
We have a formula that reads result = a₁ * a₂.
This means that a1 is 2000 and a2 is 13; the result is 26,000. Let's say we want to multiply that number by 1.4. We will get the result now that a1 is 26,000, a2 1.4, and the result 36,400.
And basically, this is the calculator that allows you to count and multiply as many times as you want without nervousness, stress, and fear of error.
How To Do Long Multiplication
Multiplication by hand is referred to as long multiplication. Multiplying integers and aligning the output according to place value is the classic technique, often known as the Standard Algorithm. To accomplish lengthy multiplication by hand, follow these steps:
- Arrange the numbers in columns by stacking them one on top of the other. The multiplicand is generally the number with the most digits on top.
- Multiply the final digit in the top number by the ones digit in the lower number, the multiplier.
- Fill in the blanks below the equals line with your response.
- If the answer is more than nine, write it in the ones position and carry the tens digit.
- From right to left, proceed. Multiply the bottom number's ones digit by the top number's next digit to the left. Add a digit to the result and write the answer below the equals line if you carried one. If you need to carry something else, go ahead and do so.
- Once you've multiplied the ones digit by every digit in the top number, go to the tens digit in the bottom number.
- Multiply like before, but this time record your solutions in a new row, one digit to the left of the previous row.
- Draw another response line underneath your last row of answer numbers once you've finished multiplying.
- Long addition is used to add your number columns from right to left, carrying as you would for long addition.
