Answer:
1. 12=12
explanation: The Commutative Property of Addition states:
a + b + c = c + b + a
Using the numbers we entered for a, b, and c, we get:
5 + 7 + 0 = 0 + 7 + 5
Evaluating, we get:
12 = 12
Since 12 = 12, we have proven the Commutative Property of Addition using the numbers 5, 7, and 0.
Show the commutative property using the numbers a = 5, b = 7, and c = 0
Define the Commutative Property of Multiplication:
The Commutative Property of Multiplication states:
a x b x c = c x b x a
5 x 7 x 0 = 0 x 7 x 5
2. 14=14
3. 10=10
explanation (4 + n) + 6 = 4 + (n + 6)
(4) + 6 = 4 + (6)
10 = 10
Since 10 = 10, we have proven the Associative Property of Addition using the numbers 4, n, and 6.
Show the Associative Property using a = 4, b = n, and c = 6
Define the Associative Property:
The Associative Property of Multiplication states:
(a x b) x c = a x (b x c)
(4 x n) x 6 = 4 x (n x 6)
5. 1=1
explanation: Using the number 14+(-14), demonstrate the Multiplicative Inverse Property
For any number A, the Multiplicative Inverse Property states:
A * (1/A) = 1
Using our number that we entered of 14+(-14), we need to know if:
14+(-14) * (1/14+(-14)) = 1
Evaluating, we get 1 = 1
Since 1 = 1, we have proven the Multiplicative Inverse Property using the number 14+(-14).
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Answers & Comments
Answer:
1. 12=12
explanation: The Commutative Property of Addition states:
a + b + c = c + b + a
Using the numbers we entered for a, b, and c, we get:
5 + 7 + 0 = 0 + 7 + 5
Evaluating, we get:
12 = 12
Since 12 = 12, we have proven the Commutative Property of Addition using the numbers 5, 7, and 0.
Show the commutative property using the numbers a = 5, b = 7, and c = 0
Define the Commutative Property of Multiplication:
The Commutative Property of Multiplication states:
a x b x c = c x b x a
Using the numbers we entered for a, b, and c, we get:
5 x 7 x 0 = 0 x 7 x 5
2. 14=14
3. 10=10
explanation (4 + n) + 6 = 4 + (n + 6)
Evaluating, we get:
(4) + 6 = 4 + (6)
10 = 10
Since 10 = 10, we have proven the Associative Property of Addition using the numbers 4, n, and 6.
Show the Associative Property using a = 4, b = n, and c = 6
Define the Associative Property:
The Associative Property of Multiplication states:
(a x b) x c = a x (b x c)
Using the numbers we entered for a, b, and c, we get:
(4 x n) x 6 = 4 x (n x 6)
5. 1=1
explanation: Using the number 14+(-14), demonstrate the Multiplicative Inverse Property
For any number A, the Multiplicative Inverse Property states:
A * (1/A) = 1
Using our number that we entered of 14+(-14), we need to know if:
14+(-14) * (1/14+(-14)) = 1
Evaluating, we get 1 = 1
Since 1 = 1, we have proven the Multiplicative Inverse Property using the number 14+(-14).