Answer :
The statement [tex]\( 83 + 6 = 6 + 83 \)[/tex] illustrates the Commutative Property of Addition. Here's why:
1. Understanding the Commutative Property of Addition: This property states that the order in which two numbers are added does not affect their sum. In mathematical terms, for any two numbers [tex]\( a \)[/tex] and [tex]\( b \)[/tex], the equation can be written as:
[tex]\[
a + b = b + a
\][/tex]
2. Applying to the Given Numbers: In the statement provided, [tex]\( 83 \)[/tex] and [tex]\( 6 \)[/tex] are the two numbers being added. According to the commutative property:
[tex]\[
83 + 6 = 6 + 83
\][/tex]
This means you can switch the order of the numbers, and the sum remains the same (in this case, both will equal 89).
3. Conclusion: The property that allows this rearranging and states that the sum will remain unchanged is the Commutative Property of Addition.
So, the statement [tex]\( 83 + 6 = 6 + 83 \)[/tex] demonstrates the Commutative Property of Addition.
1. Understanding the Commutative Property of Addition: This property states that the order in which two numbers are added does not affect their sum. In mathematical terms, for any two numbers [tex]\( a \)[/tex] and [tex]\( b \)[/tex], the equation can be written as:
[tex]\[
a + b = b + a
\][/tex]
2. Applying to the Given Numbers: In the statement provided, [tex]\( 83 \)[/tex] and [tex]\( 6 \)[/tex] are the two numbers being added. According to the commutative property:
[tex]\[
83 + 6 = 6 + 83
\][/tex]
This means you can switch the order of the numbers, and the sum remains the same (in this case, both will equal 89).
3. Conclusion: The property that allows this rearranging and states that the sum will remain unchanged is the Commutative Property of Addition.
So, the statement [tex]\( 83 + 6 = 6 + 83 \)[/tex] demonstrates the Commutative Property of Addition.
