NES Elementary Education Subtest 2
Questions and Answers (100% Correct
Answers) Already Graded A+
Natural Numbers [ Ans: ] N = {1, 2, 3, 4, 5, 6, . . . }
Whole natural numbers together with zero. [ Ans: ] 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, [ Ans: ] 2 + (-2) = 0
The set of integers consists of the whole numbers and
their opposites. [ Ans: ] Z = {. . ., -3, -2, -1, 0, 1, 2, 3, . . . }
Every nonzero integer has a unique reciprocal whose
product with it is one. For example, [ Ans: ] 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 [ Ans: ] 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. [ Ans: ] 1/2 =
0.5
There are three basic properties of addition: [ Ans: ]
commutativity, associativity and identity.
,Commutative property. [ Ans: ] 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. [ Ans: ] 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. [ Ans: ] Adding zero to a number does
not change it.
2+0=2
There are three basic properties of multiplication: [ Ans: ]
commutativity, associativity and identity.
Distributive property. [ Ans: ] 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 [ Ans: ] 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, [ Ans: ] (-3)0 = 1
A negative exponent indicates a reciprocal. For example, [
Ans: ] 2 (-3rd power) = (3rd power) =
The first power of any number is itself. For example, [
Ans: ] 2 (to the 1st power) = 2
To multiply like bases with exponents, add the exponents.
For example, [ Ans: ] 2 (to the 3rd) x 2 (to the 5th) = 2 (to
the eighth)
To exponentiate a power, multiply the exponents. For
example, [ Ans: ] (2 to the 3rd) to the 5th = 2 to the 15th
10 to the 0 power [ Ans: ] 1
10 to the 1 power [ Ans: ] 10
10 to the -2 power [ Ans: ] to the 2 power or
10 to the 2 power x 10 to the 3 power [ Ans: ] 10 to the 5
power
Identifying Place Value in Numbers
2045 [ Ans: ] 2045 = (2 x 10 to the 3 power) + (0 x 10 to
the 2 power) + (4 x 10 to the 1 power) + 5 x 10 to the 0
power)
Questions and Answers (100% Correct
Answers) Already Graded A+
Natural Numbers [ Ans: ] N = {1, 2, 3, 4, 5, 6, . . . }
Whole natural numbers together with zero. [ Ans: ] 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, [ Ans: ] 2 + (-2) = 0
The set of integers consists of the whole numbers and
their opposites. [ Ans: ] Z = {. . ., -3, -2, -1, 0, 1, 2, 3, . . . }
Every nonzero integer has a unique reciprocal whose
product with it is one. For example, [ Ans: ] 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 [ Ans: ] 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. [ Ans: ] 1/2 =
0.5
There are three basic properties of addition: [ Ans: ]
commutativity, associativity and identity.
,Commutative property. [ Ans: ] 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. [ Ans: ] 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. [ Ans: ] Adding zero to a number does
not change it.
2+0=2
There are three basic properties of multiplication: [ Ans: ]
commutativity, associativity and identity.
Distributive property. [ Ans: ] 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 [ Ans: ] 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, [ Ans: ] (-3)0 = 1
A negative exponent indicates a reciprocal. For example, [
Ans: ] 2 (-3rd power) = (3rd power) =
The first power of any number is itself. For example, [
Ans: ] 2 (to the 1st power) = 2
To multiply like bases with exponents, add the exponents.
For example, [ Ans: ] 2 (to the 3rd) x 2 (to the 5th) = 2 (to
the eighth)
To exponentiate a power, multiply the exponents. For
example, [ Ans: ] (2 to the 3rd) to the 5th = 2 to the 15th
10 to the 0 power [ Ans: ] 1
10 to the 1 power [ Ans: ] 10
10 to the -2 power [ Ans: ] to the 2 power or
10 to the 2 power x 10 to the 3 power [ Ans: ] 10 to the 5
power
Identifying Place Value in Numbers
2045 [ Ans: ] 2045 = (2 x 10 to the 3 power) + (0 x 10 to
the 2 power) + (4 x 10 to the 1 power) + 5 x 10 to the 0
power)
