Which of the following represents a rational number between $- 6$ and $- 7$ ?

\frac{- 6 - 7}{2}

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\frac{- 6 + 7}{2}

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\frac{6 + 7}{2}

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- 6 - 7

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Solution

The correct option is A $\frac{- 6 - 7}{2}$
Take the average average of the $- 6$ and $- 7$ :
Mean $= \frac{(- 6) + (- 7)}{2} = \frac{- 6 - 7}{2}$ .
Mean of two numbers always lies between the two numbers.
So, answer is option $A .$

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Question 6

Which of the following expressions show that rational numbers are associative under multiplication.
(a) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5}$
(b) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = \frac{2}{3} \times (\frac{3}{5} \times \frac{- 6}{7})$
(c) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{3}{5} \times \frac{2}{3}) \times \frac{- 6}{7}$
(d) $(\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5} = (\frac{- 6}{7} \times \frac{2}{3}) \times \frac{3}{5}$

Question 6

Q. find four rational numbers between 7/8 and 6/7

Q. Which of the following rational number lies between

\sqrt{6}

and

\sqrt{7}

Write three rational numbers that lie between the two given numbers.
$\frac{2}{7}, \frac{6}{7}$

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Which of the following represents a rational number between −6 and −7?

The correct option is A −6−72Take the average average of the −6 and −7:Mean =(−6)+(−7)2=−6−72.Mean of two numbers always lies between the two numbers.So, answer is option A.

Which of the following represents a rational number between $- 6$ and $- 7$ ?

The correct option is A $\frac{- 6 - 7}{2}$
Take the average average of the $- 6$ and $- 7$ :
Mean $= \frac{(- 6) + (- 7)}{2} = \frac{- 6 - 7}{2}$ .
Mean of two numbers always lies between the two numbers.
So, answer is option $A .$