NES Elementary Education Subtest 2 2023 NEW
EXAM UPDATE QUESTIONS AND 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) =
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
Converting a fraction to a percentage. Convert the fraction to a decimal and then
convert the decimal to a percentage. For example, 2/5 - 2/5 = .4 = 40%
Converting a percentage to a fraction. Convert the percentage to fraction with
a denominator of 100. For example,
EXAM UPDATE QUESTIONS AND 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) =
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
Converting a fraction to a percentage. Convert the fraction to a decimal and then
convert the decimal to a percentage. For example, 2/5 - 2/5 = .4 = 40%
Converting a percentage to a fraction. Convert the percentage to fraction with
a denominator of 100. For example,
