NES Elementary Education Subtest 2 Exam
Questions And Answers |Latest 2025 |
Guaranteed Pass.
Natural Numbers - Answer✔N = {1, 2, 3, 4, 5, 6, . . . }
Whole natural numbers together with zero. - Answer✔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, -
Answer✔2 + (-2) = 0
The set of integers consists of the whole numbers and their opposites. - Answer✔Z = {. . ., -3, -2,
-1, 0, 1, 2, 3, . . . }
Every nonzero integer has a unique reciprocal whose product with it is one. For example, -
Answer✔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 - Answer✔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. - Answer✔1/2 = 0.5
There are three basic properties of addition: - Answer✔commutativity, associativity and
identity.
Commutative property. - Answer✔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. - Answer✔When adding three or more numbers, the sum is the same
regardless of the way in which the numbers are grouped.
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2 + (3 + 5) = (2 + 3) + 5
Identity property. - Answer✔Adding zero to a number does not change it.
2+0=2
There are three basic properties of multiplication: - Answer✔commutativity, associativity and
identity.
Distributive property. - Answer✔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 - Answer✔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, - Answer✔(-3)0 = 1
A negative exponent indicates a reciprocal. For example, - Answer✔2 (-3rd power) = (3rd
power) =
The first power of any number is itself. For example, - Answer✔2 (to the 1st power) = 2
To multiply like bases with exponents, add the exponents. For example, - Answer✔2 (to the
3rd) x 2 (to the 5th) = 2 (to the eighth)
To exponentiate a power, multiply the exponents. For example, - Answer✔(2 to the 3rd) to the
5th = 2 to the 15th
10 to the 0 power - Answer✔1
10 to the 1 power - Answer✔10
10 to the -2 power - Answer✔ to the 2 power or
10 to the 2 power x 10 to the 3 power - Answer✔10 to the 5 power
Identifying Place Value in Numbers
2045 - Answer✔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)
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