Question

Which quotient is between -4 and -5 on a number line? Hint: Use your calculator for this problem. (1 point) Responses −913÷2 negative 9 and 1 third divided by 2 −512÷(−112) negative 5 and 1 half divided by open paren negative 1 and 1 half close paren 123÷(−12) 1 and 2 thirds divided by open paren negative 1 half close paren 256÷(−12)

Answer 1

To find which quotient is between -4 and -5, we can calculate each of the responses provided:

1. −913 ÷ 2 \[ = -456.5 \] (This is less than -5)

2. Negative 9 and 1 third divided by 2 \[ = -\frac{28}{3} ÷ 2 = -\frac{28}{6} = -\frac{14}{3} \approx -4.67 \] (This is between -4 and -5)

3. −512 ÷ (−112) \[ = 4.57 \] (This is greater than -4)

4. Negative 5 and 1 half divided by (negative 1 and 1 half) \[ = -\frac{11}{2} ÷ -\frac{3}{2} = \frac{11}{3} \approx 3.67 \] (This is greater than -4)

5. 123 ÷ (−12) \[ = -10.25 \] (This is less than -5)

6. 256 ÷ (−12) \[ = -21.33 \] (This is less than -5)

The only calculation that yields a quotient between -4 and -5 is the second one: Negative 9 and 1 third divided by 2 which is approximately \(-4.67\).