NES Elementary Education Subtest 2 exam 2024 with 100% correct answers
Natural Numbers - correct answer N = {1, 2, 3, 4, 5, 6, . . . }
Whole natural numbers together with zero. - correct 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, - correct answer 2 + (-2) = 0
The set of integers consists of the whole numbers and their opposites. - correct answer Z = {. . ., -3, -2, -
1, 0, 1, 2, 3, . . . }
Every nonzero integer has a unique reciprocal whose product with it is one. For example, - correct 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 - correct 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. - correct answer 1/2 = 0.5
There are three basic properties of addition: - correct answer commutativity, associativity and identity.
Commutative property. - correct 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. - correct answer 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 answer Adding zero to a number does not change it.
2 + 0 = 2
There are three basic properties of multiplication: - correct answer commutativity, associativity and identity.
Distributive property. - correct 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 - correct 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, - correct answer (-3)0 = 1
A negative exponent indicates a reciprocal. For example, - correct answer 2 (-3rd power) = (3rd power) = The first power of any number is itself. For example, - correct answer 2 (to the 1st power) = 2
To multiply like bases with exponents, add the exponents. For example, - correct answer 2 (to the 3rd) x 2 (to the 5th) = 2 (to the eighth) To exponentiate a power, multiply the exponents. For example, - correct answer (2 to the 3rd) to the 5th = 2 to the 15th
10 to the 0 power - correct answer 1
10 to the 1 power - correct answer 10
10 to the -2 power - correct answer to the 2 power or 10 to the 2 power x 10 to the 3 power - correct answer 10 to the 5 power
Identifying Place Value in Numbers
2045 - correct 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)
Digits to the right of a decimal point correspond to negative powers of ten. For example,
23.405 - correct answer 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 - correct answer 3 divided by 8 = 0.375
convert 0.45 to a fraction. - correct answer 45/100
convert 3.208 to a mixed number. - correct answer 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 - correct answer 2/5 = .4 = 40%
Natural Numbers - correct answer N = {1, 2, 3, 4, 5, 6, . . . }
Whole natural numbers together with zero. - correct 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, - correct answer 2 + (-2) = 0
The set of integers consists of the whole numbers and their opposites. - correct answer Z = {. . ., -3, -2, -
1, 0, 1, 2, 3, . . . }
Every nonzero integer has a unique reciprocal whose product with it is one. For example, - correct 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 - correct 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. - correct answer 1/2 = 0.5
There are three basic properties of addition: - correct answer commutativity, associativity and identity.
Commutative property. - correct 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. - correct answer 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 answer Adding zero to a number does not change it.
2 + 0 = 2
There are three basic properties of multiplication: - correct answer commutativity, associativity and identity.
Distributive property. - correct 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 - correct 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, - correct answer (-3)0 = 1
A negative exponent indicates a reciprocal. For example, - correct answer 2 (-3rd power) = (3rd power) = The first power of any number is itself. For example, - correct answer 2 (to the 1st power) = 2
To multiply like bases with exponents, add the exponents. For example, - correct answer 2 (to the 3rd) x 2 (to the 5th) = 2 (to the eighth) To exponentiate a power, multiply the exponents. For example, - correct answer (2 to the 3rd) to the 5th = 2 to the 15th
10 to the 0 power - correct answer 1
10 to the 1 power - correct answer 10
10 to the -2 power - correct answer to the 2 power or 10 to the 2 power x 10 to the 3 power - correct answer 10 to the 5 power
Identifying Place Value in Numbers
2045 - correct 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)
Digits to the right of a decimal point correspond to negative powers of ten. For example,
23.405 - correct answer 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 - correct answer 3 divided by 8 = 0.375
convert 0.45 to a fraction. - correct answer 45/100
convert 3.208 to a mixed number. - correct answer 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 - correct answer 2/5 = .4 = 40%
