Verify whether the given statement is true or false- -16 - 6-5 - -9-10 - -16 - 6-5 - -9-10-

Firstly consider LHS (( 16 ÷ 6/5) ÷ 9/10 Convert ÷ to × ( 16/1× 5/6) ÷ 9/10 ( 16× 5/1× 6) ÷ 9/10 80/ 6 ÷ 9/10 Convert ÷ to ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

Simplest Form of Fraction

Verify whethe...

Question

Verify whether the given statement is true or false:
$((- 16) \div 6 / 5) \div - 9 / 10 = (- 16) \div (6 / 5 \div - 9 / 10)$ .

Open in App

Solution

Firstly consider $L H S ((- 16 \div 6 / 5) \div - 9 / 10$
Convert $\div$ to $\times$
$(- 16 / 1 \times 5 / 6) \div - 9 / 10 (- 16 \times 5 / 1 \times 6) \div - 9 / 10$
$- 80 / 6 \div - 9 / 10$
Convert $\div$ to $\times$
$- 80 / 6 \times 10 / - 9$
$- 80 \times 10 / 6 \times - 9 = - 800 / - 54 = 800 / 54$
By dividing further by $2$ into lowest terms we get,
$800 / 50 = 400 / 27$
$R H S : (- 16) \div (6 / 5 \div - 9 / 10)$
Convert $\div$ to $\times$
$- 16 \div (6 / 5 \times 10 / - 9)$
$- 16 \div (6 \times 10 / 5 \times - 9)$
$- 16 \div 60 / - 45$
Convert $\div$ to $\times$
$- 16 / 1 \times - 45 / 60$
$- 16 \times - 45 / 1 \times 60 = 720 / 60$
By dividing further by $60$ into lowest terms we get,
$720 / 60 = 12$
$∴ L H S \neq R H S$ , The given statement is false.

Suggest Corrections

Similar questions

Verify whether the given statement is true or false :

(i) $(\frac{5}{9} \div \frac{1}{3}) \div \frac{5}{2} = \frac{5}{9} \div (\frac{1}{3} \div \frac{5}{2})$

(ii) ${(- 16) \div \frac{6}{5}} \div \frac{- 9}{10} = (- 16) \div {\frac{6}{5} \div \frac{- 9}{10}}$

(iii) $(\frac{- 3}{5} \div \frac{- 12}{35}) \div \frac{1}{14} = \frac{- 3}{5} \div (\frac{- 12}{35} \div \frac{1}{14})$

Q. Verify whether the given statement is true or false:
(i)

\frac{13}{5} \div \frac{26}{10} = \frac{26}{10} \div \frac{13}{5}

(ii)

- 9 \div \frac{3}{4} = \frac{3}{4} \div (- 9)

(iii)

\frac{- 8}{9} \div \frac{- 4}{3} = \frac{- 4}{3} \div \frac{- 8}{9}

(iv)

\frac{- 7}{24} \div \frac{3}{- 16} = \frac{3}{- 16} \div \frac{- 7}{24}

Question 74
State whether the statement is True or False.
A triangular prism has 5 faces, 9 edges and 6 vertices.

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Evaluate :
$(i) \frac{- 14}{5} \times \frac{- 6}{7} (i i) \frac{7}{6} \times \frac{- 18}{91} (i i i) \frac{- 125}{72} \times \frac{9}{- 5} (i v) \frac{- 11}{9} \times \frac{- 51}{- 44} (v) - \frac{16}{5} \times \frac{- 20}{8}$

Join BYJU'S Learning Program

Verify whether the given statement is true or false:((−16)÷6/5)÷−9/10=(−16)÷(6/5÷−9/10).

Verify whether the given statement is true or false:
$((- 16) \div 6 / 5) \div - 9 / 10 = (- 16) \div (6 / 5 \div - 9 / 10)$ .