Question

9. Find the product and verify the associative
property for multiplication of rational numbers:

Answer 1

ANSWER

Multiplication,Addition follow associative law but Subtraction and Division not follow associative law

ASSOCIATIVE LAW FOR MULTIPLICATION

if a, b, c are some numbers and d is product of these numbers

then

a×(b×c) = (a×b) ×c = d

note :- multiplication is a binary operation applied only to two values at a time . we cannot multiply 3 or more then 3 values simultaneously.

PRODUCT

$\frac{5}{23} \times ( \frac{7}{9} \times \frac{4}{5} ) = \frac{5}{23} \times ( \frac{28}{45} ) = \frac{140}{1035}$

VERIFICATION

$\frac{5}{23} \times ( \frac{7}{9} \times \frac{4}{5} ) = \frac{5}{23} \times ( \frac{28}{45} ) = \frac{140}{1035} \: \: \\ = ( \frac{5}{23} \times \frac{7}{9} ) \times \frac{4}{5} = ( \frac{35}{207} ) \times \frac{4}{5} = \frac{140}{1035}$

since

a(b×c) = (a×b) ×c

hence multiplication follow associative law

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Answer 2

Answer:

hii Friend

Step-by-step explanation:

Multiplication,Addition follow associative law but Subtraction and Division not follow associative law

ASSOCIATIVE LAW FOR MULTIPLICATION

if a, b, c are some numbers and d is product of these numbers

then

a×(b×c) = (a×b) ×c = d

note :- multiplication is a binary operation applied only to two values at a time . we cannot multiply 3 or more then 3 values simultaneously.

PRODUCTS

5/23×(7/9× 4/5)=5/23×(28/45)

=140/1035

VERIFICATION

5/23×(7/9×4/5)=5/23×(28/45)

=140/1035

since

a(b×c) = (a×b) ×c

hence multiplication follow associative law

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