Find six rational numbers between -7 and -10 in descending order. - Vidyadip

MCQ

Find six rational numbers between $-7$ and $-10$ in descending order.

A
$\frac{-34}{4},\frac{-33}{4},\frac{-32}{4},\frac{-31}{4},\frac{-30}{4},\frac{-29}{4}$
B
$\frac{-28}{4},\frac{-29}{4},\frac{-30}{4},\frac{-31}{4},\frac{-32}{4},\frac{-33}{4}$
C
$\frac{-29}{4},\frac{-30}{4},\frac{-31}{4},\frac{-32}{4},\frac{-33}{4},\frac{-35}{4}$
✓
$\frac{-29}{4},\frac{-30}{4},\frac{-31}{4},\frac{-32}{4},\frac{-33}{4},\frac{-34}{4}$

✓

Answer

Correct option: D.

$\frac{-29}{4},\frac{-30}{4},\frac{-31}{4},\frac{-32}{4},\frac{-33}{4},\frac{-34}{4}$

The two given integers are $-7$ and $-10.$
The given integers can be written as $\frac{-7}{1}$ and $\frac{-10}{1}$
Multiplying numerator and denominator of both the fractions by $4$.
$\frac{-7\times4}{1\times4}=\frac{-28}{4}\text{ and }\frac{-10\times4}{1\times4}=\frac{-40}{4}$
The six. rational numbers in between $-7$ and $-10$ are $\frac{-29}{4},\frac{-30}{4},\frac{-31}{4},\frac{-32}{4},\frac{-33}{4},\frac{-34}{4}$

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