What Does "product" Mean in Math?
Illustrated definition of Product: The answer when two or more values are multiplied together. Try dragging the numerals to the blue boxes. Aug 04, · A product in math is defined as the answer of an equation in which two or more variables are multiplied. In other terms, a product is the answer to any multiplication problem. Products can be found by multiplying different variables together. The number of variables in the problem can change, but most often, two numbers are multiplied together to form a product.
The term "product" refers to the result of one or more multiplications. For example, the mathematical how to make a snow quincy would be read " times equals ," where is the product. More generally, matu is possible mafh take the product of many different kinds of mathematical objects, including those that are mafh numbers. For example, the product of two sets is given by the Cartesian product. In topologythe product of spaces can be defined by using the product topology.
The product of two groupsvector spacesor modules is given by the direct product. In category theorythe product of objects is given using the category product. Portions of this entry contributed by John Renze. Renze, John and Weisstein, Eric W. Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more. Walk through homework problems step-by-step from beginning to s.
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The Meaning of the Product of a Number
Dec 19, · A product is the result of carrying out the mathematical operation of multiplication. When you multiply numbers together, you get their product. The other basic arithmetic operations are addition, subtraction and division, and their results are called . Sep 29, · When speaking mathematically, the term product means the answer to a multiplication problem. For example: 5 * 3 = 15 is the product. The term . Apr 19, · The term "product" refers to the result of one or more multiplications. For example, the mathematical statement a?b=c would be read "a times b equals c," where c is the product. More generally, it is possible to take the product of many different kinds of mathematical objects, including those that are not numbers.
Kathryn earned her Ph. She has over 10 years of teaching experience at high school and university level. When speaking mathematically, the term product means the answer to a multiplication problem. The term product first showed up in England in the s and comes from the Latin word productum , which means 'to produce. As a member, you'll also get unlimited access to over 84, lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.
Get unlimited access to over 84, lessons. Already registered? Log in here for access. Log in or sign up to add this lesson to a Custom Course. Log in or Sign up. Multiplication is often referred to as repeated addition because what the multiplication problem is telling you is that you have a certain number of groups of something, all containing a specific number.
Confused yet? Here's an example. You have 3 bags of candy, and each bag contains 5 pieces of candy. How many pieces of candy do you have? The other way to solve is to use multiplication, because you have 3 groups of candy with 5 pieces of candy in each bag. Here's another example.
The classroom has 8 rows of chairs and each row has 7 chairs in it. How many chairs are there? There are four basic properties of multiplication that are true no matter what is being multiplied together.
Commutative property : When two numbers are multiplied together, the product is the same regardless of the order in which they are written. Associative property : When three or more numbers are multiplied together, the product is the same regardless of which two are multiplied first. Distributive property : The sum of two numbers times a third number is equal to the sum of each addend times the third number. The product of any number times 1 is that number. You learned this in the multiplicative identity property example above.
The product is the answer to a multiplication problem. You can find a product by a process called repeated addition , which is to say, by adding together the number of groups in the problem.
There are four properties that govern the rules of solving multiplication problems: commutative , associative , multiplicative identity , and distributive. There are also two special product rules: that the product of any number multiplied by one will be that number and that the product of any number times zero will be zero.
To unlock this lesson you must be a Study. Create your account. In the video lesson, we learned what a 'product' is and many properties of multiplication. As a quick reminder, the 'product' is the answer to a multiplication problem and the main properties of multiplication of numbers are:.
This says that it does not matter which order you multiply numbers in. This says that when multiplying three numbers together, it does not matter which two you multiply together first. This says that any number multiplied by 1 results in the same number you had before.
This property states that when multiplying a sum by a number, you can multiply each piece of the sum by the number first and then add the results. Hint: try to split the 52 up as a sum of two numbers that are easier to multiply by 9. There are many correct answers to this problem, but one of the possibilities outlined here is one of the simplest to work with. One tip for rewriting problems in this way is to split off multiples of 10, since multiplying by 10 is easy to do in your head.
Already a member? Log In. Log in. Sign Up. Explore over 4, video courses. Lesson Transcript. Expert Contributor. Kathryn Boddie. In mathematics, the term 'product' refers to the answer to a multiplication problem.
This lesson will define the term in more detail and give some examples of how it is used. Then, there will be a quiz to test your understanding. An error occurred trying to load this video. Try refreshing the page, or contact customer support. You must c C reate an account to continue watching. Register to view this lesson Are you a student or a teacher? I am a student I am a teacher. It only takes a few minutes to setup and you can cancel any time. What teachers are saying about Study.
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Save Save Save. Want to watch this again later? How to Find the Product Multiplication is often referred to as repeated addition because what the multiplication problem is telling you is that you have a certain number of groups of something, all containing a specific number.
There are two ways to solve this problem. Multiplicative identity property : The product of any number and 1 is that number. The product of any number times 0 is 0. Finding the Product The product is the answer to a multiplication problem. To find a product, you can use repeated addition or multiplication. Multiplication problems have four properties: commutative, associative, multiplicative identity and distributive. Any number times 1 is itself, and any number times 0 is 0. Learning Outcomes Study this lesson so that you can accurately do the following: Recognize the product of a multiplication problem Demonstrate two methods for finding the product Enumerate the four properties of multiplication Calculate special products.
Additional Activities. Using the Properties of Multiplication to Rewrite Problems In the video lesson, we learned what a 'product' is and many properties of multiplication.
As a quick reminder, the 'product' is the answer to a multiplication problem and the main properties of multiplication of numbers are: 1. Examples 1. Hint: try to split the 52 up as a sum of two numbers that are easier to multiply by 9 Solutions 1.
Unlock Your Education See for yourself why 30 million people use Study. Become a Member Already a member? Log In Back. What Does Difference in Math Mean? What Is Value in Math? How to Simplify a Multiplication Expression. The Canterville Ghost Chapter 3 Summary. How to Decompose Fractions: Lesson for Kids. Translating a Multiplication Statement into an Algebraic Expression.
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