Question

Are the associative properties true for all integers? Explain.

Factors and multiples
ANSWERED
asked 2021-01-06
Are the associative properties true for all integers? Explain.

Answers (1)

2021-01-07
Assoclative property states that the operations on the numbers does not matter on how the numbers are grouped. But for the integers, division and subtraction depends on the grouping on numbers whereas addition and multiplication are asociative for integers. For ex- \(\frac{\frac{4}{2}}{3}\neq\frac{4}{\frac{2}{3}}\). Since,here the expression on the Left hand side evaluntes to \(\frac{2}{3}\) whereas the expresion on the right hand side evaluates to 6. Similarly, this property does not work for subtraction also. Associative property only works with the addition and multiplication of integers.
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