Question

without calculating, which of the following quotients can you determine will be positive?(1 point) responses −111 ÷ 37 negative 111 divided by 37 1,001 ÷ (−143) 1,001divided by left parenthesis negative 143 right parenthesis −725 ÷ (−29) negative 725 divided by left parenthesis negative 29 right parenthesis 657 ÷ (−23) 657 divided by left parenthesis negative 23 right parenthesis

Answer 1

To determine the sign of each quotient without calculating, we can use the rule that states the quotient of two numbers is positive if both numbers have the same sign (both positive or both negative) and negative if they have different signs.

Let's analyze each quotient:

1. −111 ÷ 37: The numerator is negative and the denominator is positive. Thus, the quotient is negative.

2. 1,001 ÷ (−143): The numerator is positive and the denominator is negative. Thus, the quotient is negative.

3. −725 ÷ (−29): Both the numerator and the denominator are negative. Thus, the quotient is positive.

4. 657 ÷ (−23): The numerator is positive and the denominator is negative. Thus, the quotient is negative.

Based on this analysis, the only quotient that will be positive is −725 ÷ (−29).

Answer 2

without calculating, which of the following quotients can you determine will be positive?(1 point) responses −111 ÷ 37 negative 111 divided by 37 1,001 ÷ (−143) 1,001divided by left parenthesis negative 143 right parenthesis −725 ÷ (−29) negative 725 divided by left parenthesis negative 29 right parenthesis 657 ÷ (−23) 657 divided by left parenthesis negative 23 right parenthesis

Answer 3

To determine which of the given quotients will be positive, we'll evaluate the sign based on the rules of division:

1. −111 ÷ 37: The numerator (−111) is negative and the denominator (37) is positive. Therefore, the quotient is negative.

2. 1,001 ÷ (−143): The numerator (1,001) is positive and the denominator (−143) is negative. Therefore, the quotient is negative.

3. −725 ÷ (−29): Both the numerator (−725) and the denominator (−29) are negative. Therefore, the quotient is positive (because a negative divided by a negative is positive).

4. 657 ÷ (−23): The numerator (657) is positive and the denominator (−23) is negative. Therefore, the quotient is negative.

Based on this analysis, the only quotient that will be positive is −725 ÷ (−29).

Answer 4

Question Which of the following does not have the same value as the others?(1 point) Responses −3−7 Start Fraction negative 3 over negative 7 End Fraction 3−7 Start Fraction 3 over negative 7 End Fraction −37 negative Start Fraction 3 over 7 End Fraction −37

Answer 5

To determine which of the options does not have the same value as the others, we will analyze each response:

1. −3−7: This can be interpreted as \( -3 - 7 = -10 \).

2. Start Fraction negative 3 over negative 7 End Fraction: This simplifies to \( \frac{-3}{-7} = \frac{3}{7} \) because the negatives cancel out.

3. 3−7: This can be interpreted as \( 3 - 7 = -4 \).

4. Start Fraction 3 over negative 7 End Fraction: This simplifies to \( \frac{3}{-7} = -\frac{3}{7} \).

5. −37: This is simply \( -37 \).

6. negative Start Fraction 3 over 7 End Fraction: This simplifies to \( -\frac{3}{7} \).

Now we can summarize the values:

• \(-3 - 7 = -10\)
• \(\frac{-3}{-7} = \frac{3}{7}\)
• \(3 - 7 = -4\)
• \(\frac{3}{-7} = -\frac{3}{7}\)
• \(-37 = -37\)
• \(-\frac{3}{7} = -\frac{3}{7}\)

From this, we can see:

• \(-10\)
• \(-4\)
• \(\frac{3}{7}\)
• \(-\frac{3}{7}\)
• \(-37\)

None of these values are equal to each other, but looking closely at the values, the one that is most notably different from the rest is \(-3 - 7\) which equals \(-10\).

Thus, −3−7 does not have the same value as the others.

Answer 6

Using the rules for dividing signed numbers, what is the quotient when you divide 56÷(−4)÷(−2) ?(1 point) Responses −7 negative 7 −28 negative 28 7

Answer 7

To solve the expression \( 56 \div (-4) \div (-2) \) and determine the sign of the quotient using the rules for dividing signed numbers, follow these steps:

1. Divide the first two numbers: \[ 56 \div (-4) = -14 \] (a positive number divided by a negative number results in a negative quotient).

2. Now divide the result by the next number: \[ -14 \div (-2) \] (a negative number divided by a negative number results in a positive quotient).

Calculating this gives: \[ -14 \div (-2) = 7 \]

Thus, the final result is \( 7 \).

So, the correct answer is 7.

Answer 8

Question What is the quotient of −7÷(−3) ?(1 point) Responses −213 negative 2 Start Fraction 1 over 3 End Fraction −37 negative Start Fraction 3 over 7 End Fraction 37 Start Fraction 3 over 7 End Fraction 213

Answer 9

To find the quotient of \(-7 \div (-3)\), we can use the rule that states when you divide two negative numbers, the result is positive.

So, we have:

\[ -7 \div (-3) = \frac{7}{3} \]

Thus, the correct expression for the quotient is:

\[ \frac{7}{3} \]

Among the answer choices you provided, the correct response that matches this quotient is Start Fraction 7 over 3 End Fraction (if it is one of the options). However, if that option is not specifically listed, please verify the options you have as the positive \(\frac{7}{3}\) might be represented differently (e.g., as "2 Start Fraction 1 over 3 End Fraction").

Please confirm if you want me to evaluate the expressions again or clarify the choices you have.

Answer 10

Just give me an answer!

Answer 11

The quotient of \(-7 \div (-3)\) is \( \frac{7}{3} \). Please select Start Fraction 7 over 3 End Fraction if that's an option.

Answer 12

Which statement is correct?(1 point) Responses Division is commutative but not associative. Division is commutative but not associative. Division is both commutative and associative. Division is both commutative and associative. Division is neither commutative nor associative. Division is neither commutative nor associative. Division is associative but not commutative.

Answer 13

The correct statement is: Division is neither commutative nor associative.

• Commutative Property: For an operation to be commutative, changing the order of the numbers should not change the result. For division, \(a \div b\) is not the same as \(b \div a\) (e.g., \(8 \div 4 \neq 4 \div 8\)).

• Associative Property: For an operation to be associative, the way in which numbers are grouped should not affect the result. For division, \((a \div b) \div c\) is not the same as \(a \div (b \div c)\) (e.g., \((8 \div 4) \div 2 \neq 8 \div (4 \div 2)\)).

Therefore, the correct answer is: Division is neither commutative nor associative.