7-8- 17-13-14-13 - 7-8-14-13 - 7-8-17-13 -If true then enter 1 and if false then enter 0

7/8×[ 17/13+14/13 ]=[ 7/8×14/13 ]+[ 7/8×17/13 ] Multiplication is distributive over addition of two rational number. ...

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Byju's Answer

Standard VIII

Mathematics

Distributive Property of Rational Numbers

7/8×[ 17/13+1...

Question

$\frac{7}{8} \times (\begin{matrix} \frac{17}{13} + \frac{14}{13} \end{matrix}) = (\begin{matrix} \frac{7}{8} \times \frac{14}{13} \end{matrix}) + (\begin{matrix} \frac{7}{8} \times \frac{17}{13} \end{matrix})$
If true then enter $1$ and if false then enter $0$

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Solution

$\frac{7}{8} \times (\begin{matrix} \frac{17}{13} + \frac{14}{13} \end{matrix}) = (\begin{matrix} \frac{7}{8} \times \frac{14}{13} \end{matrix}) + (\begin{matrix} \frac{7}{8} \times \frac{17}{13} \end{matrix})$
Multiplication is distributive over addition of two rational number.

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Similar questions

(\begin{matrix} \frac{- 15}{7} \div \frac{9}{11} \end{matrix}) \div \frac{3}{13} = \frac{- 15}{7} \div (\begin{matrix} \frac{9}{11} \div \frac{3}{13} \end{matrix})

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1

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0

Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$

Q. Solve the following equation

(x \geq 0)

\frac{\sqrt{x + 13} + \sqrt{x - 1}}{\sqrt{x + 13} - \sqrt{x - 1}} = 3

solution is

{\frac{17}{3}}

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Q. Find the missing term
2, 7, 11, 8, 13, 17, 14, 19, 23, (......)

(\begin{matrix} \frac{- 9}{13} \times \frac{5}{6} \end{matrix}) - (\begin{matrix} \frac{- 9}{13} \times \frac{4}{6} \end{matrix}) = \frac{- 9}{13} \times (\begin{matrix} \frac{5}{6} - \frac{4}{6} \end{matrix})

.
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78×(1713+1413)=(78×1413)+(78×1713)If true then enter 1 and if false then enter 0

78×(1713+1413)=(78×1413)+(78×1713)Multiplication is distributive over addition of two rational number.

$\frac{7}{8} \times (\begin{matrix} \frac{17}{13} + \frac{14}{13} \end{matrix}) = (\begin{matrix} \frac{7}{8} \times \frac{14}{13} \end{matrix}) + (\begin{matrix} \frac{7}{8} \times \frac{17}{13} \end{matrix})$
If true then enter $1$ and if false then enter $0$

$\frac{7}{8} \times (\begin{matrix} \frac{17}{13} + \frac{14}{13} \end{matrix}) = (\begin{matrix} \frac{7}{8} \times \frac{14}{13} \end{matrix}) + (\begin{matrix} \frac{7}{8} \times \frac{17}{13} \end{matrix})$
Multiplication is distributive over addition of two rational number.