Name the property of multiplication shown by each of the following statements-i -125 - 34-34 -125ii -815 - 1-815iii -23 - 78 -57-23 - 78 -57iv -23 - 0-0v 25x-45-310-25x-45-25 -310

(i) Commutative law of multiplication (ii) nbsp;Existence of nbsp; multiplicative identity (iii) nbsp;Associative law of multiplication (iv) nbsp;Mul ...

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Standard VIII

Mathematics

Associative Property of Rational Numbers

Name the prop...

Question

Name the property of multiplication shown by each of the following statements:
(i) $\frac{- 12}{5} \times \frac{3}{4} = \frac{3}{4} \times \frac{- 12}{5}$
(ii) $\frac{- 8}{15} \times 1 = \frac{- 8}{15}$
(iii) $(\frac{- 2}{3} \times \frac{7}{8}) \times \frac{- 5}{7} = \frac{- 2}{3} \times (\frac{7}{8} \times \frac{- 5}{7})$
(iv) $\frac{- 2}{3} \times 0 = 0$
(v) $\frac{2}{5} \times (\frac{- 4}{5} + \frac{- 3}{10}) = (\frac{2}{5} \times \frac{- 4}{5}) + (\frac{2}{5} \times \frac{- 3}{10})$

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Solution

(i) Commutative law of multiplication

(ii) Existence of multiplicative identity

(iii) Associative law of multiplication

(iv) Multiplicative property of 0

(v) Distributive law of multiplication over addition

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Similar questions

Q. 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{- 5}{6} + \frac{7}{8}) = (\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

Q. Fill in the blanks with the appropriate property.
These are the steps to solve

\frac{2}{3} \times (\frac{5}{7} \times \frac{3}{4}) :

Step 1:

\frac{2}{3} \times (\frac{5}{7} \times \frac{3}{4}) = \frac{2}{3} \times (\frac{3}{4} \times \frac{5}{7})

(using property)

Step 2:

\frac{2}{3} \times (\frac{3}{4} \times \frac{5}{7}) = (\frac{2}{3} \times \frac{3}{4}) \times \frac{5}{7}

(using property)

Step 3:

\frac{1}{2} \times \frac{5}{7} = \frac{5}{14}

Simplify each of the following and write as a rational number of the form $\frac{p}{q}$ :
(i) $\frac{3}{4} + \frac{5}{6} + \frac{- 7}{8}$
(ii) $\frac{2}{3} + \frac{- 5}{6} + \frac{- 7}{9}$
(iii) $\frac{- 11}{2} + \frac{7}{6} + \frac{- 5}{8}$
(iv) $\frac{- 4}{5} + \frac{- 7}{10} + \frac{- 8}{15}$
(v) $\frac{- 9}{10} + \frac{22}{15} + \frac{13}{- 20}$
(vi) $\frac{5}{3} + \frac{3}{- 2} + \frac{- 7}{3} + 3$

Q. Divide:
(i)

1 by \frac{1}{2}

(ii)

5 by \frac{- 5}{7}

(iii)

\frac{- 3}{4} by \frac{9}{- 16}

(iv)

\frac{- 7}{8} by \frac{- 21}{16}

(v)

\frac{7}{- 4} by \frac{63}{64}

(vi)

0 by \frac{- 7}{5}

(vii)

\frac{- 3}{4} by - 6

(viii)

\frac{2}{3} by \frac{- 7}{12}

Q. Convert
the following table into cumulative frequency table.

X	$11$	$12$	$23$	$34$	$56$	$78$
F	$0$	$1$	$2$	$3$	$5$	$6$

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Name the property of multiplication shown by each of the following statements: (i) -125×34=34×-125 (ii) -815×1=-815 (iii) -23×78×-57=-23×78×-57 (iv) -23×0=0 (v) 25×-45+-310=25×-45+25×-310

(i) Commutative law of multiplication (ii) Existence of multiplicative identity (iii) Associative law of multiplication (iv) Multiplicative property of 0 (v) Distributive law of multiplication over addition

(i) Commutative law of multiplication

(ii) Existence of multiplicative identity

(iii) Associative law of multiplication

(iv) Multiplicative property of 0

(v) Distributive law of multiplication over addition