NES Elementary Education Subtest 2 Exam Questions with Complete Solutions

NES Elementary Education Subtest 2 Exam Questions with Complete Solutions Natural Numbers - ANSWER N = {1, 2, 3, 4, 5, 6, . . . } Whole natural numbers together with zero. - ANSWER W = {0, 1, 2, 3, 4, 5, 6, . . . } Every whole number has a unique opposite or negative whose sum with it is 0. For example, - ANSWER 2 + (-2) = 0 The set of integers consists of the whole numbers and their opposites. - ANSWER Z = {. . ., -3, -2, -1, 0, 1, 2, 3, . . . } Every nonzero integer has a unique reciprocal whose product with it is one. For example, - ANSWER 2 × 1/2 = 1 The ratio or fraction of one integer to a nonzero integer is the product of the first integer with the reciprocal of the second. For example, the ratio of 2 to 3 is - ANSWER 2/3 = 2 × 1/3 not every rational number is an integer. For example, 1/2 is a rational number that is not an integer. - ANSWER 1/2 = 0.5 There are three basic properties of addition: - ANSWER commutativity, associativity and identity. Commutative property. - ANSWER When adding two numbers, the sum is the same regardless of the order in which the numbers are added. 2 + 3 = 3 + 2 Associative property. - ANSWER When adding three or more numbers, the sum is the same regardless of the way in which the numbers are grouped. 2 + (3 + 5) = (2 + 3) + 5 Identity property. - ANSWER Adding zero to a number does not change it. 2 + 0 = 2