Fill in the blanks- i-4-7-9-7-9- ii-5-11-3-8-3-8- iii-1-2-3-4-5-12 -1-2- -5-12 iv-4-5-5-7- -4-5-5-7 -8-9

(i) 4×7/9=7/9× ___ nbsp; 4×7/9=7/9× 4 [Since, commutative property](ii) 5/11× 3/8= 3/8× ___ 5/11× 3/8= 3/8×5/11 [Since, commutative property](iii) 1/2×(3/4 ...

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

Byju's Answer

Standard VIII

Mathematics

Commutative Property of Rational Numbers

Fill in the b...

Question

Fill in the blanks:

$(i) - 4 \times \frac{7}{9} = \frac{7}{9} \times$ _

$(i i) \frac{5}{11} \times \frac{- 3}{8} = \frac{- 3}{8} \times$ _

$(i i i) \frac{1}{2} \times (\frac{3}{4} + \frac{- 5}{12}) = \frac{1}{2} \times$ __ $+ (\times) \frac{- 5}{12}$

$(i v) \frac{- 4}{5} \times \frac{5}{7} \times$ _ $= (\frac{- 4}{5} \times \frac{5}{7}) \times \frac{- 8}{9}$

Open in App

Solution

$(i) - 4 \times \frac{7}{9} = \frac{7}{9} \times$ _
$- 4 \times \frac{7}{9} = \frac{7}{9} \times - 4$ [Since, commutative property]
$(i i) \frac{5}{11} \times \frac{- 3}{8} = \frac{- 3}{8} \times$ _

$\frac{5}{11} \times \frac{- 3}{8} = \frac{- 3}{8} \times \frac{5}{11}$ [Since, commutative property]
$(i i i) \frac{1}{2} \times (\frac{3}{4} + \frac{- 5}{12}) = \frac{1}{2} \times$ __ $+ (\times) \frac{- 5}{12}$

$\frac{1}{2} \times (\frac{3}{4} + \frac{- 5}{12}) = \frac{1}{2} \times \frac{3}{4} + \frac{1}{2} \times \frac{- 5}{12}$ [Since, Distributive property]
$(i v) \frac{- 4}{5} \times \frac{5}{7} \times$ _ $= (\frac{- 4}{5} \times \frac{5}{7}) \times \frac{- 8}{9}$

$\frac{- 4}{5} \times (\frac{5}{7} \times \frac{- 8}{9}) = (\frac{- 4}{5} \times \frac{5}{7}) \times \frac{- 8}{9}$ [Since, Associative property]

Suggest Corrections

Similar questions

Evaluate :

$(i) \frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9} (i i) \frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5} (i i i) \frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{9} (i v) \frac{3}{8} + \frac{- 5}{12} + \frac{3}{7} + \frac{3}{12} + \frac{- 5}{8} + \frac{- 2}{7}$

Evaluate : $(i) \frac{5}{9} + \frac{- 7}{6} (i i) 4 + \frac{3}{- 5} (i i i) \frac{1}{- 15} + \frac{5}{- 12} (i v) \frac{5}{9} + \frac{3}{- 4} (v) \frac{- 8}{9} + \frac{- 5}{12} (v i) 0 + \frac{- 2}{7} (v i i) \frac{5}{- 11} + 0 (v i i i) 2 + \frac{- 3}{5} (i x) \frac{4}{- 9} + 1$

Q. Simplify:
(i)

\frac{11}{12} \div (\frac{5}{9} \times \frac{18}{25})

(ii)

(2 \frac{1}{2} \times \frac{8}{10}) \div (1 \frac{1}{2} + \frac{5}{8})

(iii)

\frac{15}{16}

(\frac{5}{6} - \frac{1}{2}) \div \frac{10}{11}

(iv)

\frac{9}{8} \div \frac{3}{5}

(\frac{3}{4} + \frac{3}{5})

(v)

\frac{2}{5} \div {\frac{1}{5} o f [\frac{3}{4} - \frac{1}{2}] - 1}

(vi)

(1 \frac{3}{4} \times 3 \frac{1}{7}) - (4 \frac{3}{8} \div 5 \frac{3}{5})

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

$Name the multiplication property of rational numbers shown below: (i) \frac{3}{5} \times \frac{- 8}{9} = \frac{- 8}{9} \times \frac{3}{5} (i i) \frac{- 3}{4} \times (\frac{5}{7} \times \frac{- 8}{15}) = (\frac{- 3}{5} \times \frac{5}{7}) \times \frac{- 8}{15} (i i i) \frac{4}{5} \times (\frac{3}{- 8} + \frac{- 4}{7}) = \frac{4}{5} \times \frac{3}{- 8} + \frac{4}{5} \times \frac{- 4}{7} (i v) \frac{- 7}{5} \times \frac{5}{- 7} = 1 (v) \frac{8}{- 9} \times 1 = 1 \times \frac{8}{- 9} = \frac{8}{- 9} (v i) \frac{- 3}{4} \times 0 = 0$

Join BYJU'S Learning Program

Fill in the blanks: (i) −4×79=79× ___ (ii) 511×−38=−38× ___ (iii) 12×(34+−512)=12× ____ +(×)−512 (iv) −45×57×___ =(−45×57)×−89