Question
Name the property of real numbers illustrated by the equation.
π⋅3=3⋅π
(1 point)
Responses
Commutative Property of Addition
Commutative Property of Addition
Closure Property
Closure Property
Commutative Property of Multiplication
Commutative Property of Multiplication
Associative Property of Multiplication
π⋅3=3⋅π
(1 point)
Responses
Commutative Property of Addition
Commutative Property of Addition
Closure Property
Closure Property
Commutative Property of Multiplication
Commutative Property of Multiplication
Associative Property of Multiplication
Answers
Answered by
GPT 3.5
Commutative Property of Multiplication
Answer
Which of the following correctly demonstrates the use of the Commutative Property of Multiplication?
a. 11(b+z)=11b+11z
b. 2(b^(10)-z^(11))=(b^(10)+z^(11))*2
c. z^(11)*2=z^(11)+2
d. 3(b^(10)+4)=3(4+b^(10))3
a. 11(b+z)=11b+11z
b. 2(b^(10)-z^(11))=(b^(10)+z^(11))*2
c. z^(11)*2=z^(11)+2
d. 3(b^(10)+4)=3(4+b^(10))3
Answered by
GPT 3.5
a. 11(b+z)=11b+11z
Answer
Which of the following correctly demonstrates the Commutative Property of Addition?
123+456=579
abcxyz=zyxcba
0+579=579
abc+xyz=xyz+abc
123+456=579
abcxyz=zyxcba
0+579=579
abc+xyz=xyz+abc
Answered by
GPT 3.5
abc+xyz=xyz+abc
Answer
Use the Commutative Property to determine the missing step in proving the equivalence of 12a+10+a=10+a+12a.
Step 1: [missing]
Step 2: 10+13a=10+13a
Step 3: The expressions are equivalent because they both equal the same value.
10+12a+a=10+13a
12a+10+a−a=10+a+12a−a
12a+10=10+12a
12a+10+a−10=10+a+12a−10
Step 1: [missing]
Step 2: 10+13a=10+13a
Step 3: The expressions are equivalent because they both equal the same value.
10+12a+a=10+13a
12a+10+a−a=10+a+12a−a
12a+10=10+12a
12a+10+a−10=10+a+12a−10
Answered by
GPT 3.5
Step 1: 12a+10+a = a+10+12a (Using the Commutative Property of Addition to change the order of terms)
Answer
Use the Commutative Property to determine the missing step in proving the equivalence of 12a+10+a=10+a+12a.
a. 10+12a+a=10+13a
b. 12a+10+a−a=10+a+12a−a
c. 12a+10=10+12a
d. 12a+10+a−10=10+a+12a−10
a. 10+12a+a=10+13a
b. 12a+10+a−a=10+a+12a−a
c. 12a+10=10+12a
d. 12a+10+a−10=10+a+12a−10
Answered by
GPT 3.5
The missing step is:
d. 12a+10+a−10=10+a+12a−10 (Using the Commutative Property of Addition to reorder the terms)
d. 12a+10+a−10=10+a+12a−10 (Using the Commutative Property of Addition to reorder the terms)
Answer
Substituting 1 for x in the equation 5x + 3=x⋅5 + 3 is a test case for which property?
The Commutative Property of Multiplication
The Associative Property of Multiplication
The Commutative Property of Addition
The Associative Property of Addition
The Commutative Property of Multiplication
The Associative Property of Multiplication
The Commutative Property of Addition
The Associative Property of Addition
Answered by
GPT 3.5
The Commutative Property of Multiplication
Answer
Which step contains an error using the Commutative Property of Addition in verifying 8+x^(2)+17x-x^(2)+4=10+4x^(2)+10x-4x^(2)+2+7x
Step 1: 8+4+x^(2)-x^(2)+17x=10+2+10x-4x^(2)+7x+4x^(2)
Step 2: 8+4+17x+x^(2)-x^(2)=10+2+4x^(2)-4x^(2)+10x+7x
Step 3: 12+17x+x^(2)=12-x^(2)+17x
Step 1: 8+4+x^(2)-x^(2)+17x=10+2+10x-4x^(2)+7x+4x^(2)
Step 2: 8+4+17x+x^(2)-x^(2)=10+2+4x^(2)-4x^(2)+10x+7x
Step 3: 12+17x+x^(2)=12-x^(2)+17x
Answered by
GPT 3.5
The error is in Step 2. The Commutative Property of Addition states that the order of terms can be changed, but in this step, the terms are not in the same order on both sides of the equation. Specifically, the terms 4x^2 and -4x^2 should have been switched to maintain the same order of the terms.
Answer
Which step contains an error using the Commutative Property of Addition in verifying 8+x^(2)+17x-x^(2)+4=10+4x^(2)+10x-4x^(2)+2+7x
Step 1: 8+4+x^(2)-x^(2)+17x=10+2+10x-4x^(2)+7x+4x^(2)
Step 2: 8+4+17x+x^(2)-x^(2)=10+2+4x^(2)-4x^(2)+10x+7x
Step 3: 12+17x+x^(2)=12-x^(2)+17x
A. No mistake was made.
B. Step 1
C. Step 2
D. Step 3
Step 1: 8+4+x^(2)-x^(2)+17x=10+2+10x-4x^(2)+7x+4x^(2)
Step 2: 8+4+17x+x^(2)-x^(2)=10+2+4x^(2)-4x^(2)+10x+7x
Step 3: 12+17x+x^(2)=12-x^(2)+17x
A. No mistake was made.
B. Step 1
C. Step 2
D. Step 3
Answered by
GPT 3.5
The correct answer is C. Step 2
In Step 2, there is an error in using the Commutative Property of Addition. The terms 4x^2 and -4x^2 were not switched in the same order on both sides of the equation.
In Step 2, there is an error in using the Commutative Property of Addition. The terms 4x^2 and -4x^2 were not switched in the same order on both sides of the equation.
Answer
rewrite 8+4+17x+x^(2)-x^(2)
Answered by
GPT 3.5
The expression can be simplified as:
8 + 4 + 17x + x^2 - x^2 = 12 + 17x
8 + 4 + 17x + x^2 - x^2 = 12 + 17x
Answer
Which step contains an error using the Commutative Property of Addition in verifying 8+x^(2)+17x-x^(2)+4=10+4x^(2)+10x-4x^(2)+2+7x
Step 1: 8+4+x^(2)-x^(2)+17x=10+2+10x-4x^(2)+7x+4x^(2)
Step 2: 8+4+17x+x^(2)-x^(2)=10+2+4x^(2) - 4x^(2)+10x+7x
Step 3: 12+17x+x^(2)=12-x^(2)+17x
Step 1: 8+4+x^(2)-x^(2)+17x=10+2+10x-4x^(2)+7x+4x^(2)
Step 2: 8+4+17x+x^(2)-x^(2)=10+2+4x^(2) - 4x^(2)+10x+7x
Step 3: 12+17x+x^(2)=12-x^(2)+17x
Answered by
GPT 3.5
The correct answer is B. Step 1.
In Step 1, there is an error in using the Commutative Property of Addition. The terms x^2 and -x^2 were not switched in the same order on both sides of the equation.
In Step 1, there is an error in using the Commutative Property of Addition. The terms x^2 and -x^2 were not switched in the same order on both sides of the equation.
Answer
Which step contains an error using the Commutative Property of Addition in verifying 8 + x^(2) + 17x - x^(2) + 4 = 10 + 4x^(2) + 10x - 4x^(2) + 2 + 7x
Step 1: 8 + 4 + x^(2) - x^(2) + 17x = 10 + 2 + 10x - 4x^(2) + 7x + 4x^(2)
Step 2: 8 + 4 + 17x + x^(2) - x^(2) = 10 + 2 + 4x^(2) - 4x^(2) + 10x + 7x
Step 3: 12 + 17x + x^(2) = 12 - x^(2) + 17x
Step 1: 8 + 4 + x^(2) - x^(2) + 17x = 10 + 2 + 10x - 4x^(2) + 7x + 4x^(2)
Step 2: 8 + 4 + 17x + x^(2) - x^(2) = 10 + 2 + 4x^(2) - 4x^(2) + 10x + 7x
Step 3: 12 + 17x + x^(2) = 12 - x^(2) + 17x
Answered by
GPT 3.5
The correct answer is C. Step 2.
In Step 2, there is an error in using the Commutative Property of Addition. The terms 4x^2 and -4x^2 were not switched in the same order on both sides of the equation.
In Step 2, there is an error in using the Commutative Property of Addition. The terms 4x^2 and -4x^2 were not switched in the same order on both sides of the equation.