NES Elementary Education Subtest 2 – exam
|\ |\ |\ |\ |\ |\ |\
questions with answers |\ |\
Natural Numbers - CORRECT ANSWERS ✔✔N = {1, 2, 3, 4,
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
5, 6, . . . }
|\ |\ |\ |\ |\
Whole natural numbers together with zero. - CORRECT
|\ |\ |\ |\ |\ |\ |\ |\
ANSWERS ✔✔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, - CORRECT ANSWERS
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\
✔✔2 + (-2) = 0
|\ |\ |\ |\ |\
The set of integers consists of the whole numbers and
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\
their opposites. - CORRECT ANSWERS ✔✔Z = {. . ., -3, -2, -
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
1, 0, 1, 2, 3, . . . }
|\ |\ |\ |\ |\ |\ |\ |\
Every nonzero integer has a unique reciprocal whose
|\ |\ |\ |\ |\ |\ |\ |\
product with it is one. For example, - CORRECT ANSWERS
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\
✔✔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 - CORRECT
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
ANSWERS ✔✔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. - CORRECT
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
ANSWERS ✔✔1/2 = 0.5 |\ |\ |\
There are three basic properties of addition: - CORRECT
|\ |\ |\ |\ |\ |\ |\ |\ |\
ANSWERS ✔✔commutativity, associativity and identity.
|\ |\ |\ |\
Commutative property. - CORRECT ANSWERS ✔✔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. - CORRECT ANSWERS ✔✔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. - CORRECT ANSWERS ✔✔Adding zero to
|\ |\ |\ |\ |\ |\ |\ |\
a number does not change it.
|\ |\ |\ |\ |\
2+0=2
|\ |\ |\ |\
There are three basic properties of multiplication: -
|\ |\ |\ |\ |\ |\ |\ |\
CORRECT ANSWERS ✔✔commutativity, associativity and
|\ |\ |\ |\ |\
identity.
, Distributive property. - CORRECT ANSWERS ✔✔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 - CORRECT ANSWERS ✔✔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, - CORRECT ANSWERS ✔✔(-3)0 = 1
|\ |\ |\ |\ |\ |\ |\
A negative exponent indicates a reciprocal. For example, -
|\ |\ |\ |\ |\ |\ |\ |\
CORRECT ANSWERS ✔✔2 (-3rd power) = (3rd power)
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
=1/8 |\ |\ |\
The first power of any number is itself. For example, -
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
CORRECT ANSWERS ✔✔2 (to the 1st power) = 2 |\ |\ |\ |\ |\ |\ |\ |\
To multiply like bases with exponents, add the exponents.
|\ |\ |\ |\ |\ |\ |\ |\
For example, - CORRECT ANSWERS ✔✔2 (to the 3rd) x 2
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
(to the 5th) = 2 (to the eighth)
|\ |\ |\ |\ |\ |\ |\
To exponentiate a power, multiply the exponents. For
|\ |\ |\ |\ |\ |\ |\ |\
example, - CORRECT ANSWERS ✔✔(2 to the 3rd) to the 5th |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
= 2 to the 15th
|\ |\ |\ |\ |\
|\ |\ |\ |\ |\ |\ |\
questions with answers |\ |\
Natural Numbers - CORRECT ANSWERS ✔✔N = {1, 2, 3, 4,
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
5, 6, . . . }
|\ |\ |\ |\ |\
Whole natural numbers together with zero. - CORRECT
|\ |\ |\ |\ |\ |\ |\ |\
ANSWERS ✔✔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, - CORRECT ANSWERS
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\
✔✔2 + (-2) = 0
|\ |\ |\ |\ |\
The set of integers consists of the whole numbers and
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\
their opposites. - CORRECT ANSWERS ✔✔Z = {. . ., -3, -2, -
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
1, 0, 1, 2, 3, . . . }
|\ |\ |\ |\ |\ |\ |\ |\
Every nonzero integer has a unique reciprocal whose
|\ |\ |\ |\ |\ |\ |\ |\
product with it is one. For example, - CORRECT ANSWERS
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\
✔✔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 - CORRECT
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
ANSWERS ✔✔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. - CORRECT
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
ANSWERS ✔✔1/2 = 0.5 |\ |\ |\
There are three basic properties of addition: - CORRECT
|\ |\ |\ |\ |\ |\ |\ |\ |\
ANSWERS ✔✔commutativity, associativity and identity.
|\ |\ |\ |\
Commutative property. - CORRECT ANSWERS ✔✔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. - CORRECT ANSWERS ✔✔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. - CORRECT ANSWERS ✔✔Adding zero to
|\ |\ |\ |\ |\ |\ |\ |\
a number does not change it.
|\ |\ |\ |\ |\
2+0=2
|\ |\ |\ |\
There are three basic properties of multiplication: -
|\ |\ |\ |\ |\ |\ |\ |\
CORRECT ANSWERS ✔✔commutativity, associativity and
|\ |\ |\ |\ |\
identity.
, Distributive property. - CORRECT ANSWERS ✔✔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 - CORRECT ANSWERS ✔✔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, - CORRECT ANSWERS ✔✔(-3)0 = 1
|\ |\ |\ |\ |\ |\ |\
A negative exponent indicates a reciprocal. For example, -
|\ |\ |\ |\ |\ |\ |\ |\
CORRECT ANSWERS ✔✔2 (-3rd power) = (3rd power)
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
=1/8 |\ |\ |\
The first power of any number is itself. For example, -
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
CORRECT ANSWERS ✔✔2 (to the 1st power) = 2 |\ |\ |\ |\ |\ |\ |\ |\
To multiply like bases with exponents, add the exponents.
|\ |\ |\ |\ |\ |\ |\ |\
For example, - CORRECT ANSWERS ✔✔2 (to the 3rd) x 2
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
(to the 5th) = 2 (to the eighth)
|\ |\ |\ |\ |\ |\ |\
To exponentiate a power, multiply the exponents. For
|\ |\ |\ |\ |\ |\ |\ |\
example, - CORRECT ANSWERS ✔✔(2 to the 3rd) to the 5th |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
= 2 to the 15th
|\ |\ |\ |\ |\
