Introduction
Math is a fascinating subject for many. But for some of us, it isn’t straightforward. Therefore, if you are looking forward to garnering some information regarding Multiplication operations and properties, this article is for you. We will discuss various concepts in depth with examples. Hence this article will help you to brush up on the long-forgotten concepts you learned as a kid. But sometimes these concepts are of utmost use; therefore, to get there, all you need is a minor revision, .so here you go, let’s get started about what does product mean in math.
SO WHAT IS A PRODUCT?
A product is nothing special. Just a multiplication of the two or more numbers and the result that comes out is known as a product. For example, 2 x 3 = 6 . here, the numbers 2 and 3 are multiplied together, then the resultant product is 6. It is as easy as that. If we multiply three numbers, for example, 12x5x6 = 360 .therefore, in the above two examples, 6 and 360 are the product. It must have provided you with the basic concept of what precisely the word product means in Mathematics. Now let us get to know other things that you are here.
There are a few properties of multiplication you should be aware of; therefore, now we are going to discuss the below-mentioned properties
- Commutative properties of multiplication
- Distributive properties of multiplication
- Associative properties of multiplication
- Commutative property of multiplication
Let us first look at an example ( 6 x 3 ) = 18 and also ( 3 x 6 ) = 18 . at this moment you can see that both the above operation gives the same results. The commutative property of multiplication states that you will get the same results even after changing the sequence or order of the two numbers. The resultant product will be the same. You can take different numbers to practice, but surely you will get the same results. Howsoever this property applies only to multiplication and addition operations, not on the subtraction and division operations. We know that Mathematics can be tiring at times. You might get distracted while you can look at our interesting article about how to get amazon prime free!. So that you can stream your favourite web series.
- Distributive properties of multiplication
Let us first look at an example, 6 x (3+8) =66 and (6 x 3 ) + (6 x 8 ) = 66. Here in this example, if you multiply the multiplier with the addition, you will get the product as 66. Also, if you follow the traditional rule by multiplying the multiplier with the number individually and then adding them, the product will again be the same. Hence it is the distributive property. We can also use this property with subtraction. Therefore let’s take an example, 9 x ( 3-2) = 9 and (9 x 3) – (9 x 2) = 9 . Also, here in this example, from both the methods, you get the same product that is 9. Therefore it is clear that the distributive property of multiplication is followed in both the operations that are addition and subtraction.
- Associative properties of multiplication
Let us first look at an example, ( 6 x 3) x 8 = 144 and( 3 x 8) x 6 = 144 and also ( 8 x 6 ) X 3 = 144 . In this example, you can see that all three are giving the same final product that is 144. therefore in the associative property of multiplication, you have to take any two numbers in the bracket and multiply them . after that, the product should be multiplied with the third number. Also, you can do this with any of the three numbers, but the final product will always be the same. Howsoever this property works the same for the operation addition but not for subtraction and division. For example (6 + 3) + 8 =17 and (3+8) + 6= 17 and also ( 8+ 6) + 3 =17. But
(6-3) -8 = -5 and ( 3 – 8 ) – 6 = -11 , it is giving different results
Hence the associative property is applicable only on the multiplication and addition operations.
How can we learn the properties?
It can be a little hard to learn different properties and formulae of mathematics. However, practice and regular revision are the keys. But you should instead focus on understanding the definition and then remembering the procedures and properties. You can also read about some ambitious people because they are a constant source of motivation.
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The commutative Now, if you want to learn and remember the commutative property, you should look at the term it starts with the word commute. It means to move. So in this property, even if you move the numbers or displace them, the results will be the same. The numbers can commute from one place to the other. Therefore just by understanding the term, you can learn it quickly.
The Distributive
The distributive itself from its name indicates to distribute. In this property, you have to open up the brackets and multiply by the multiplier. And you will get the same results as by adding up in the shelves in the first place. Hence the word distribute is the key here; whenever you cannot recall the property, stick to the word distribute, and it might click on you instantaneously.
The Associative
Here you can look at the word Associate; here, you can associate any numbers with others. Be it addition or multiplication, .the results will come out the same in each group.
EndNote So you can see it’s about understanding the terms. However, you can also try to write and learn the formulas and properties. It helps and always tries to keep in mind that revision is the key to perform well in maths. After reading this article, you can start solving some basic questions and proceed to the advance later. We hope this article was of some use to you if you were looking for What product exactly means in mathematics. Now, after practising, you can play some video games to refresh yourself. Therefore you can have a look at our article gacha life old version apk 1.0.9.
