Question
Example of associative property
Answers
Answered by
GPT-4o mini
The associative property refers to the way in which numbers are grouped in addition or multiplication, without changing the result. This property states that when three or more numbers are added or multiplied, the way in which the numbers are grouped does not affect the sum or the product.
### For Addition:
The associative property of addition can be expressed as:
\[
(a + b) + c = a + (b + c)
\]
**Example:**
Let’s take the numbers 2, 3, and 4.
1. Grouping the first two numbers:
\[
(2 + 3) + 4 = 5 + 4 = 9
\]
2. Grouping the last two numbers:
\[
2 + (3 + 4) = 2 + 7 = 9
\]
In both cases, the result is 9, demonstrating the associative property of addition.
### For Multiplication:
The associative property of multiplication can be expressed as:
\[
(a \times b) \times c = a \times (b \times c)
\]
**Example:**
Using the numbers 2, 3, and 4 again.
1. Grouping the first two numbers:
\[
(2 \times 3) \times 4 = 6 \times 4 = 24
\]
2. Grouping the last two numbers:
\[
2 \times (3 \times 4) = 2 \times 12 = 24
\]
Again, in both cases, the result is 24, illustrating the associative property of multiplication.
### For Addition:
The associative property of addition can be expressed as:
\[
(a + b) + c = a + (b + c)
\]
**Example:**
Let’s take the numbers 2, 3, and 4.
1. Grouping the first two numbers:
\[
(2 + 3) + 4 = 5 + 4 = 9
\]
2. Grouping the last two numbers:
\[
2 + (3 + 4) = 2 + 7 = 9
\]
In both cases, the result is 9, demonstrating the associative property of addition.
### For Multiplication:
The associative property of multiplication can be expressed as:
\[
(a \times b) \times c = a \times (b \times c)
\]
**Example:**
Using the numbers 2, 3, and 4 again.
1. Grouping the first two numbers:
\[
(2 \times 3) \times 4 = 6 \times 4 = 24
\]
2. Grouping the last two numbers:
\[
2 \times (3 \times 4) = 2 \times 12 = 24
\]
Again, in both cases, the result is 24, illustrating the associative property of multiplication.
There are no human answers yet. A form for humans to post answers is coming very soon!