Questions | 5 |
Topics | Adding & Subtracting Radicals, Commutative Property, Greatest Common Factor, Least Common Multiple, Percentages |
To add or subtract radicals, the degree and radicand must be the same. For example, \(2\sqrt{3} + 3\sqrt{3} = 5\sqrt{3}\) but \(2\sqrt{2} + 2\sqrt{3}\) cannot be added because they have different radicands.
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
The greatest common factor (GCF) is the greatest factor that divides two integers.
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Percentages are ratios of an amount compared to 100. The percent change of an old to new value is equal to 100% x \({ new - old \over old }\).