Question
Associative Property of Addition (3+2)+4=x+(2+4)
Answers
GPT-4o mini
The Associative Property of Addition states that the way in which numbers are grouped in an addition operation does not change the sum. In other words, if you have three numbers \( a \), \( b \), and \( c \), the associative property can be expressed as:
\[
(a + b) + c = a + (b + c)
\]
In your expression \( (3 + 2) + 4 \) and \( x + (2 + 4) \), we can evaluate each side to understand how the associative property applies.
1. Calculate \( (3 + 2) + 4 \):
\[
(3 + 2) + 4 = 5 + 4 = 9
\]
2. Calculate \( 2 + 4 \):
\[
2 + 4 = 6
\]
Now, we rewrite the right side:
\[
x + (2 + 4) = x + 6
\]
To equate both sides:
\[
9 = x + 6
\]
Now, solve for \( x \):
\[
x = 9 - 6 = 3
\]
Thus, if \( (3 + 2) + 4 = x + (2 + 4) \), you find that \( x = 3 \). The associative property shows that the way we group the numbers does not change the final result, and this equation confirms it.
\[
(a + b) + c = a + (b + c)
\]
In your expression \( (3 + 2) + 4 \) and \( x + (2 + 4) \), we can evaluate each side to understand how the associative property applies.
1. Calculate \( (3 + 2) + 4 \):
\[
(3 + 2) + 4 = 5 + 4 = 9
\]
2. Calculate \( 2 + 4 \):
\[
2 + 4 = 6
\]
Now, we rewrite the right side:
\[
x + (2 + 4) = x + 6
\]
To equate both sides:
\[
9 = x + 6
\]
Now, solve for \( x \):
\[
x = 9 - 6 = 3
\]
Thus, if \( (3 + 2) + 4 = x + (2 + 4) \), you find that \( x = 3 \). The associative property shows that the way we group the numbers does not change the final result, and this equation confirms it.