Question

Which of the following shows an equivalent expression to [(5•3)•12 If only the associative property was used to transform the expression?

Answer 1

Answer:

[5 . (3 . 12)] shows an equivalent expression to [(5 . 3) . 12] if only the associative property was used to transform the expression ⇒ 1st answer

Step-by-step explanation:

The associative property means you can add or multiply some numbers without matter where you put the parenthesis

Ex: (a + b) + c = a + (b + c) OR (a . b) . c = a . (b . c)

In associative property we move the parenthesis only (we do not move the numbers)

Subtraction or division are not associative

∵ The expression is [(5 . 3) . 12]

- The parenthesis are around the first two numbers, then the

    equivalent expression is the one whose parenthesis are

    around the last two numbers

∴ The equivalent expression is [5 . (3 . 12)]

∴ [(5 . 3) . 12] ≡ [5 . (3 . 12)]

[5 . (3 . 12)] shows an equivalent expression to [(5 . 3) . 12] if only the associative property was used to transform the expression