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)
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).
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
The response that does not have the same value as the others is "-37".
So which option
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?
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
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".
Using the rules for dividing signed numbers, what is the quotient when you divide 56÷(−4)÷(−2)?(1 point)
Responses
7
28
−28
−7
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".
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