NES Elementary Education Subtest 2 2023 NEW EXAM UPDATE QUESTIONS AND ANSWERS

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Natural Numbers - N = {1, 2, 3, 4, 5, 6, . . . } Whole natural numbers together with zero. - 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, - 2 + (-2) = 0 The set of integers consists of the whole numbers and their opposites. - Z = {. . ., -3, -2, -1, 0, 1, 2, 3, . . . } Every nonzero integer has a unique reciprocal whose product with it is one. For example, - 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 - 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. - 1/2 = 0.5 There are three basic properties of addition: - commutativity, associativity and identity. Commutative property. - 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. - 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. - Adding zero to a number does not change it. 2 + 0 = 2 There are three basic properties of multiplication: - commutativity, associativity and identity. Distributive property. - 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) Exponentiation - Exponentiation is repeated multiplication. An exponent is often called a power. For example, the third power of 2 is 2³ = 2 × 2 × 2 = 8 We define the zero power of any nonzero number to be 1. For example, - (-3)0 = 1 A negative exponent indicates a reciprocal. For example, - 2 (-3rd power) =1 / 2 (3rd power) = 1 / 8 [Show More]

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