Name the property of rational numbers illustrated by the given statement. $\frac{- 3}{2} \times \frac{5}{4} + \frac{- 3}{2} \times \frac{- 7}{6} = \frac{- 3}{2} \times (\frac{5}{4} + \frac{- 7}{6})$ .

Associativity

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Distributivity

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Commutativity

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C Distributivity
Associative property
$(a + b) + c = a + (b + c)$
or $(a \times b) \times c = a \times (b \times c)$

Distributive property
$a \times (b + c) = a \times b + a \times c$

Commutative property
$a + b = b + a$
or $a \times b = b \times a$

so the given equation follows:
$a \times (b + c) = a \times b + a \times c$
$a = - \frac{3}{2}$
$b = \frac{5}{4}$
$c = - \frac{7}{6}$

Suggest Corrections

Similar questions

Q. Name the property of multiplication illustrated by

\frac{- 4}{3} \times (\frac{6}{5} + \frac{8}{7}) = (\frac{- 4}{3} \times \frac{6}{5}) + (\frac{- 4}{3} \times \frac{8}{7})

Q. Name the property of rational numbers illustrated by the given statement.

\frac{7}{4} \times (\frac{- 8}{3} + \frac{- 13}{12}) = \frac{7}{4} \times \frac{- 8}{3} + \frac{7}{4} \times \frac{- 13}{12}

Q. Which property of multiplication is illustrated by :

\frac{- 4}{3} \times (\frac{- 6}{5} + \frac{8}{7}) = (\frac{- 4}{3} \times \frac{- 6}{5}) + (\frac{- 4}{3} \times \frac{8}{7})

Name the property of multiplication illustrated by each of the following statements :

(i) $\frac{- 15}{8} \times \frac{- 12}{7} = \frac{- 12}{7} \times \frac{- 15}{8}$

(ii) $(\frac{- 2}{3} \times \frac{7}{9}) \times \frac{- 9}{5} = \frac{- 2}{3} \times (\frac{7}{9} \times \frac{- 9}{5})$

(iii) $\frac{- 3}{4} \times (\frac{- 3}{4} \times \frac{- 5}{6}) + (\frac{- 3}{4} \times \frac{7}{8})$

(iv) $\frac{- 16}{9} \times 1 = 1 \times \frac{- 16}{9} = \frac{- 16}{9}$

(v) $\frac{- 11}{15} \times \frac{15}{- 11} = \frac{15}{- 11} \times \frac{- 11}{15} = 1$

(vi) $\frac{- 7}{5} \times 0 = 0$

For each set of rational numbers, given below, verify the associative property of addition of rational numbers:
$(i) \frac{1}{2}, \frac{2}{3} and - \frac{1}{6} (i i) \frac{- 2}{5}, \frac{4}{15} and \frac{- 7}{10} (i i i) \frac{- 7}{9}, \frac{2}{- 3} and \frac{- 5}{18} (i v) - 1, \frac{5}{6} ~ a n d \frac{- 2}{3}$

Join BYJU'S Learning Program

Name the property of rational numbers illustrated by the given statement. −32×54+−32×−76=−32×(54+−76).

The correct option is C DistributivityAssociative property (a+b)+c=a+(b+c)or (a×b)×c=a×(b×c)Distributive propertya×(b+c)=a×b+a×cCommutative propertya+b=b+aor a×b=b×aso the given equation follows:a×(b+c)=a×b+a×ca=−32b=54c=−76

Name the property of rational numbers illustrated by the given statement. $\frac{- 3}{2} \times \frac{5}{4} + \frac{- 3}{2} \times \frac{- 7}{6} = \frac{- 3}{2} \times (\frac{5}{4} + \frac{- 7}{6})$ .