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Why does the associative property of multiplication work?

The associative property is helpful while adding or multiplying multiple numbers. By grouping, we can create smaller components to solve. It makes the calculations of addition or multiplication of multiple numbers easier and faster.

What is the associative law for multiplication?

Associative law, in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + (b + c) = (a + b) + c, and a(bc) = (ab)c; that is, the terms or factors may be associated in any way desired.

Is multiplication always associative?

In mathematics, addition and multiplication of real numbers is associative. By contrast, in computer science, the addition and multiplication of floating point numbers is not associative, as rounding errors are introduced when dissimilar-sized values are joined together.

What is the rule for associative property?

The word “associative” comes from “associate” or “group”; the Associative Property is the rule that refers to grouping. For addition, the rule is “a + (b + c) = (a + b) + c”; in numbers, this means 2 + (3 + 4) = (2 + 3) + 4. For multiplication, the rule is “a(bc) = (ab)c”; in numbers, this means 2(3×4) = (2×3)4.

What is the meaning of commutative property of multiplication?

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

What are the properties of multiplication?

The properties of multiplication are distributive, commutative, associative, removing a common factor and the neutral element.

What is the commutative property of multiplication for kids?

The commutative property of multiplication says that you can multiply numbers in any order and the answer will always be the same. It doesn’t matter whether you multiply 3 x 8 or 8 x 3.

What does commutative property of multiplication look like?

The commutative property of multiplication states that when two numbers are being multiplied, their order can be changed without affecting the product. For example, has the same product as . These properties apply to all real numbers.

What is the distributive property of multiplication?

What is the Distributive Property? The distributive property explains that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products.