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Product: The term product in math means adding a number repetitively till specified number of times. The operator used is ‘*’ or sometimes ‘x’. It is also known as multiply or multiplication. A product is an answer when two number are multiplied.
For example, check this mathematical statement:
a x b=c
This statement is read as ‘a’ times ‘b’ equals to ‘c’
or, when we add ‘b’ repetitively ‘a’ time, the answer is ‘c’.
or ‘a’ multiplied by ‘b’ results in ‘c’.
or ‘a’ into ‘b’ is ‘c’.
or the product of ‘a’ and ‘b’ is ‘c’.
Here, ‘a’ and ‘b’ are known as multiplicand and multiplier respectively. ‘c’ is referred to as the product.
Let’s learn it by taking an example:
Say, we need to find product of 3 and 6.
There are two approaches to attain the same.
Approach 1: Direct multiplication
Here, 3 is multiplicand and 6 is the multiplier. Just skim through the table of 6 and now you know the answer
Its, 3 x 6 = 18 (3 times 6 is 18)
So, the product of 3 and 6 is 18.
Approach 2: Repetitive Addition
Here you need to add ‘6’ , three times.
6 + 6 + 6 = 18
The answer is 18.
Still not clear, Let’s take another example
Now we need to find the product of 8 and 9.
So, 8 x 9 = 72 (8 times 9 is 72)
Hence, the product of 8 and 9 is 72.
So, 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 =72.
Or we can say that 8 times 9 is 72.
Suppose there are 10 chocolates in a box. Find total number of chocolates in 7 boxes?
Approach 1
The product of 7 and 10 will give total number of chocolates i.e., 70.
Approach 2
We add the number of chocolates in each box.
10 + 10 + 10 +10 + 10 + 10 + 10 =70.
In both the scenarios, the answer comes out to be 70.
There are four basic properties of product. Let’s check them out.
Regardless of the order, the product of two number will remain the same.
For example: 5 x1 7 = 1 7 x 5
When three numbers are multiplied, the product remains the same regardless of which two numbers are multiplied first.
13 X (2 X 6) = (13 X 2) X 6
This property stated that when two number are multiplied and one of them is ‘1’, the product is the number itself.
For example: 9 x 1 = 9
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