NES Elementary Education Subtest 2| 126 questions| with complete solutions

Natural Numbers correct answer: N = {1, 2, 3, 4, 5, 6, . . . } Whole natural numbers together with zero. correct 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, correct answer: 2 + (-2) = 0 The set of integers consists of the whole numbers and their opposites. correct answer: Z = {. . ., -3, -2, -1, 0, 1, 2, 3, . . . } Every nonzero integer has a unique reciprocal whose product with it is one. For example, correct 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 correct 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. correct answer: 1/2 = 0.5 There are three basic properties of addition: correct answer: commutativity, associativity and identity. Commutative property. correct 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. correct 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. correct answer: Adding zero to a number does not change it. 2 + 0 = 2 There are three basic properties of multiplication: correct answer: commutativity, associativity and identity. Distributive property. correct answer: The product of a number with a sum equals the sum of the products of the number with each term of the sum. 2 × (3 + 5) = (2 × 3) + (2 × 5)