Practice Associativity in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A property where changing the grouping of operands does not change the result: (a \star b) \star c = a \star (b \star c).
(2 + 3) + 4 = 2 + (3 + 4). How you group the additions doesn't matter.
Example 1
easyShow that \((2 + 5) + 4 = 2 + (5 + 4)\) by calculating both sides.
Example 2
mediumUse associativity to make this multiplication easier: \(5 \times 4 \times 6\).
Example 3
easyCalculate \((8 + 3) + 7\) and \(8 + (3 + 7)\). Which is easier? Why?
Example 4
mediumUse associativity to simplify: \(2 \times 7 \times 5\).