NES Elementary Education Subtest 2 Preparation Material
NES ELEMENTARY EDUCATION SUBTEST 2 PREPARATION
MATERIAL 2025/2026 COMPLETE 140 QUESTIONS AND
CORRECT ANSWERS |ALREADY GRADED A+
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.
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, NES Elementary Education Subtest 2 Preparation Material
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
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, NES Elementary Education Subtest 2 Preparation Material
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) = (3rd power) =
The first power of any number is itself. For example,
2 (to the 1st power) = 2
To multiply like bases with exponents, add the exponents. For example,
2 (to the 3rd) x 2 (to the 5th) = 2 (to the eighth)
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, . . . }
3|Page
NES ELEMENTARY EDUCATION SUBTEST 2 PREPARATION
MATERIAL 2025/2026 COMPLETE 140 QUESTIONS AND
CORRECT ANSWERS |ALREADY GRADED A+
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.
1|Page
, NES Elementary Education Subtest 2 Preparation Material
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
2|Page
, NES Elementary Education Subtest 2 Preparation Material
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) = (3rd power) =
The first power of any number is itself. For example,
2 (to the 1st power) = 2
To multiply like bases with exponents, add the exponents. For example,
2 (to the 3rd) x 2 (to the 5th) = 2 (to the eighth)
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, . . . }
3|Page
