Correct matching of the statements with the property illustrated are -

(7 + 3) + 6 = (3 + 7) + 6

: Commutative property of multiplication

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(2 + 9) + 4 = 2 + (9 + 4)

: Commutative property of addition

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(2 + 9) + 4 = 2 + (9 + 4)

: Associative property of addition

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0.3 + (- 0.3) = 0

: Inverse (opposite) property for addition

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Solution

The correct options are
C $(2 + 9) + 4 = 2 + (9 + 4)$ : Associative property of addition
D $0.3 + (- 0.3) = 0$ : Inverse (opposite) property for addition
Commutative : $a + b = b + a$
Associate : $a + (b + c) = (a + b) + c$
For any integers $a$ , there is a unique inverse $- a$ such that $a + (- a) = - a + a = 0$ .
Hence, (C,D) are correct.

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Similar questions

\frac{- 7}{9}, \frac{- 18}{19}

(\frac{- 3}{7}) + \frac{1}{9} = \frac{1}{9} + (\frac{- 3}{7})

\frac{4}{9} + (\frac{7}{8} + \frac{1}{2}) = (\frac{4}{9} + \frac{7}{8}) + \frac{1}{2}

8 + \frac{7}{10} = \frac{7}{10} + 8

(\frac{- 7}{15}) + 0 = \frac{- 7}{15} = 0 + (\frac{- 7}{15})

\frac{2}{5} + (\frac{- 2}{5}) = 0

4

\frac{2}{5}

\frac{- 3}{7}

\frac{- 2}{7}

\frac{102}{201}, \frac{3}{4}

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