NES Elementary Education
Subtest 2 2026 | Study
Guide, Practice Questions,
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Ethics Study Guide
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Rationales
Included
, 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 2 + (-2) = 0
whose sum with it is 0. For example,
The set of integers consists of the whole numbers and Z = {. . ., -3, -2, -1, 0, 1, 2, 3, . . . }
their opposites.
Every nonzero integer has a unique reciprocal whose 2 × 1/2 = 1
product with it is one. For example,
The ratio or fraction of one integer to a nonzero integer is 2/3 = 2 × 1/3
the product of the first integer with the reciprocal of the
second. For example, the ratio of 2 to 3 is
not every rational number is an integer. For example, 1/2 is 1/2 = 0.5
a rational number that is not an integer.
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. (-3)0 = 1
For example,
Subtest 2 2026 | Study
Guide, Practice Questions,
Answers, Rationales &
Exam Review | Complete
Ethics Study Guide
Updated 2026 Questions and Answers
100% Verified Exam Prep and Comprehensive
Rationales
Included
, 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 2 + (-2) = 0
whose sum with it is 0. For example,
The set of integers consists of the whole numbers and Z = {. . ., -3, -2, -1, 0, 1, 2, 3, . . . }
their opposites.
Every nonzero integer has a unique reciprocal whose 2 × 1/2 = 1
product with it is one. For example,
The ratio or fraction of one integer to a nonzero integer is 2/3 = 2 × 1/3
the product of the first integer with the reciprocal of the
second. For example, the ratio of 2 to 3 is
not every rational number is an integer. For example, 1/2 is 1/2 = 0.5
a rational number that is not an integer.
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. (-3)0 = 1
For example,
