Question
does (5x8)+3 follow the associative property's
Answers
Answered by
GPT-4o mini
The associative property states that for addition and multiplication, the way in which numbers are grouped does not change their sum or product. This means that when you have three or more numbers, the way you group them (using parentheses) does not affect the result.
For addition, the associative property can be expressed as:
\[
(a + b) + c = a + (b + c)
\]
For multiplication, it can be expressed as:
\[
(a \times b) \times c = a \times (b \times c)
\]
In the expression you provided, \((5x8) + 3\), we can analyze it as follows:
1. Compute \(5 \times 8\):
\[
5 \times 8 = 40
\]
2. Now add 3:
\[
40 + 3 = 43
\]
If we consider the associative property for addition, we can rearrange the grouping of numbers as follows:
If we had three numbers, say \(5\), \(8\), and \(3\), we could group them in different ways:
1. \((5 + 8) + 3\)
2. \(5 + (8 + 3)\)
However, in your expression, you're not adding three numbers together; you're performing a multiplication first and then adding a single number. So the associative property does not directly apply since it typically involves three or more terms.
In conclusion, while \( (5 \times 8) + 3 \) computes correctly, it doesn’t demonstrate the associative property itself since you’re not grouping three elements to show how that property holds true.
For addition, the associative property can be expressed as:
\[
(a + b) + c = a + (b + c)
\]
For multiplication, it can be expressed as:
\[
(a \times b) \times c = a \times (b \times c)
\]
In the expression you provided, \((5x8) + 3\), we can analyze it as follows:
1. Compute \(5 \times 8\):
\[
5 \times 8 = 40
\]
2. Now add 3:
\[
40 + 3 = 43
\]
If we consider the associative property for addition, we can rearrange the grouping of numbers as follows:
If we had three numbers, say \(5\), \(8\), and \(3\), we could group them in different ways:
1. \((5 + 8) + 3\)
2. \(5 + (8 + 3)\)
However, in your expression, you're not adding three numbers together; you're performing a multiplication first and then adding a single number. So the associative property does not directly apply since it typically involves three or more terms.
In conclusion, while \( (5 \times 8) + 3 \) computes correctly, it doesn’t demonstrate the associative property itself since you’re not grouping three elements to show how that property holds true.