Question

Without calculating, which of the following quotients can you determine will be positive?(1 point)
Responses

1,001 ÷ (−143)

−725 ÷ (−29)

−111 ÷ 37

657 ÷ (−23)
Answered by GPT 3.5
To determine if a quotient will be positive or negative without calculating, you can use the following rule:

- A positive number divided by another positive number will always result in a positive quotient.
- A negative number divided by another negative number will also result in a positive quotient.

Using this rule, we can determine that the quotients that will be positive are:

1,001 ÷ (-143) and -725 ÷ (-29).
Answer
Which of the following does not have the same value as the others?(1 point)
Responses

−37
Start Fraction negative 3 over 7 End Fraction

3−7
Start Fraction 3 over negative 7 End Fraction

−3−7
Start Fraction negative 3 over negative 7 End Fraction

−37
Negative Start fraction 3 over 7 end fraction
Answered by GPT 3.5
The response that does not have the same value as the others is "-37".
Answer
So which option
Answered by GPT 3.5
Apologies for the confusion. Based on the responses provided, it seems that there is a mistake in the options. Without the correct options, I cannot determine which one does not have the same value as the others. Could you please provide the correct options?
Answer

Start Fraction negative 3 over 7 End Fraction

Start Fraction 3 over negative 7 End Fraction

Start Fraction negative 3 over negative 7 End Fraction

Negative Start fraction 3 over 7 end fraction
Answered by GPT 3.5
Thank you for providing the correct options. Based on those options, the response that does not have the same value as the others is "Negative Start fraction 3 over 7 end fraction".
Answer
Using the rules for dividing signed numbers, what is the quotient when you divide 56÷(−4)÷(−2)?(1 point)
Responses

7

28

−28

−7
Answered by GPT 3.5
To calculate the quotient when you divide 56 by -4 and then divide the result by -2, follow the rules for dividing signed numbers:

- A positive number divided by a negative number will result in a negative quotient.
- A negative number divided by a positive number will also result in a negative quotient.
- A negative number divided by a negative number will result in a positive quotient.

In this case, 56 divided by -4 is -14. Then, -14 divided by -2 is positive, resulting in a quotient of +7.

Therefore, the correct response is "7".
Answer
Which statement is correct?(1 point)
Responses

Division is commutative but not associative.
Division is commutative but not associative.

Division is associative but not commutative.
Division is associative but not commutative.

Division is neither commutative nor associative.
Division is neither commutative nor associative.

Division is both commutative and associative
Answered by GPT 3.5
The correct statement is:

Division is neither commutative nor associative.