A rational number between -2-3 and 1-4 a 5-12 b -5-12 c 5-24 d -5-24

A rational number between = 2/3 and 1/4 will be =1/2( 2/3+1/4 ) =1/2( 8+3/12 ) =1/2× 5/12= 5/24 ...

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Standard VIII

Mathematics

Rational Numbers between Two Rational Numbers

A rational nu...

Question

A rational number between $\frac{- 2}{3} and \frac{1}{4}$

(a) $\frac{5}{12}$

(b) $\frac{- 5}{12}$

(c) $\frac{5}{24}$

(d) $\frac{- 5}{24}$

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Solution

A rational number between = $\frac{- 2}{3}$ and

$\frac{1}{4} will be = \frac{1}{2} (\frac{- 2}{3} + \frac{1}{4}) = \frac{1}{2} (\frac{- 8 + 3}{12}) = \frac{1}{2} \times \frac{- 5}{12} = \frac{- 5}{24}$

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Q. Match the following:
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and

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\int_{0}^{\frac{π}{4}} s e c^{7} θ s i n^{3} θ d θ =

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A rational number between −23 and 14 (a) 512 (b) −512 (c) 524 (d) −524

A rational number between = −23 and 14 will be =12(−23+14)=12(−8+312)=12×−512=−524

A rational number between $\frac{- 2}{3} and \frac{1}{4}$

(a) $\frac{5}{12}$

(b) $\frac{- 5}{12}$

(c) $\frac{5}{24}$

(d) $\frac{- 5}{24}$

A rational number between = $\frac{- 2}{3}$ and

$\frac{1}{4} will be = \frac{1}{2} (\frac{- 2}{3} + \frac{1}{4}) = \frac{1}{2} (\frac{- 8 + 3}{12}) = \frac{1}{2} \times \frac{- 5}{12} = \frac{- 5}{24}$