NES ELEMENTARY EDUCATION SUBTEST 2QUESTIONS
WITH 100% CORRECT ANSWERS
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) = (3rd power)
=1/8
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)
, To exponentiate a power, multiply the exponents. For example, - ✔✔(2 to the 3rd) to the 5th =
2 to the 15th
10 to the 0 power - ✔✔1
10 to the 1 power - ✔✔10
10 to the -2 power - ✔✔ to the 2 power or
10 to the 2 power x 10 to the 3 power - ✔✔10 to the 5 power
Identifying Place Value in Numbers
2045 - ✔✔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)
Digits to the right of a decimal point correspond to negative powers of ten. For example,
23.405 - ✔✔23.405 = (2 x 10 to the 1 power) + (3 x 10 to the 0 power) + (4 x 10 to the -1 power)
+ (0 x 10 to the -2 power) + (5 x 10 to the -3 power)
Converting a fraction to a decimal. For example 3/8 - ✔✔3 divided by 8 = 0.375
convert 0.45 to a fraction. - ✔✔45/100
convert 3.208 to a mixed number. - ✔✔3 + 208/1000
WITH 100% CORRECT ANSWERS
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) = (3rd power)
=1/8
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)
, To exponentiate a power, multiply the exponents. For example, - ✔✔(2 to the 3rd) to the 5th =
2 to the 15th
10 to the 0 power - ✔✔1
10 to the 1 power - ✔✔10
10 to the -2 power - ✔✔ to the 2 power or
10 to the 2 power x 10 to the 3 power - ✔✔10 to the 5 power
Identifying Place Value in Numbers
2045 - ✔✔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)
Digits to the right of a decimal point correspond to negative powers of ten. For example,
23.405 - ✔✔23.405 = (2 x 10 to the 1 power) + (3 x 10 to the 0 power) + (4 x 10 to the -1 power)
+ (0 x 10 to the -2 power) + (5 x 10 to the -3 power)
Converting a fraction to a decimal. For example 3/8 - ✔✔3 divided by 8 = 0.375
convert 0.45 to a fraction. - ✔✔45/100
convert 3.208 to a mixed number. - ✔✔3 + 208/1000
