$$ \begin{array}{ll} ext { Commutative: } & ext { Associative: } \ ext { Means that you can change or swap } & ext { Means that you add or multiply } \ ext { the arder in which you add or multiply } & ext { regardless of how you group the } \ ext { numbers and stil get the same answer. } & ext { numbers. }\end{array} $$

Question

$$ \begin{array}{ll}	ext { Commutative: } & 	ext { Associative: } \ 	ext { Means that you can change or swap } & 	ext { Means that you add or multiply } \ 	ext { the arder in which you add or multiply } & 	ext { regardless of how you group the } \ 	ext { numbers and stil get the same answer. } & 	ext { numbers. }\end{array} $$

UpStudy AI · Accepted Answer

It looks like you're providing definitions for the commutative and associative properties in mathematics. Let's clarify these properties step by step:

1. **Commutative Property**:
   - The commutative property states that the order in which two numbers are added or multiplied does not change the result.
   - For addition: $$ a + b = b + a $$
   - For multiplication: $$ a 	imes b = b 	imes a $$

This means that if you have two numbers, you can swap their positions, and the sum or product will remain the same.

2. **Associative Property**:
   - The associative property states that the way in which numbers are grouped when adding or multiplying does not change the result.
   - For addition: $$ (a + b) + c = a + (b + c) $$
   - For multiplication: $$ (a 	imes b) 	imes c = a 	imes (b 	imes c) $$

This means that when you have three or more numbers, you can group them in any way, and the sum or product will still be the same.

### Summary:
- **Commutative Property**: Order can be changed.
- **Associative Property**: Grouping can be changed.

If you have any specific questions or need further examples related to these properties, feel free to ask!
The commutative property allows you to change the order of numbers when adding or multiplying without changing the result. The associative property allows you to change how numbers are grouped when adding or multiplying without changing the result.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Arithmetic Questions