Natural Numbers - ANSWER -N = {1, 2, 3,
4, 5, 6, . . . }
Commutative property. - ANSWER -When
adding two numbers, the sum is the same
regardless of the order in which the numbers are
Whole natural numbers together with zero. - added.
ANSWER -W = {0, 1, 2, 3, 4, 5, 6, . . . }
2+3=3+2
Every whole number has a unique opposite or
negative whose sum with it is 0. For example, - Associative property. - ANSWER -When
ANSWER -2 + (-2) = 0 adding three or more numbers, the sum is the
same regardless of the way in which the numbers
are grouped.
The set of integers consists of the whole 2 + (3 + 5) = (2 + 3) + 5
numbers and their opposites. - ANSWER -
Z = {. . ., -3, -2, -1, 0, 1, 2, 3, . . . }
Identity property. - ANSWER -Adding zero
to a number does not change it.
Every nonzero integer has a unique reciprocal
whose product with it is one. For example, - 2+0=2
ANSWER -2 × 1/2 = 1
There are three basic properties of multiplication:
The ratio or fraction of one integer to a nonzero - ANSWER -commutativity, associativity
integer is the product of the first integer with the and identity.
reciprocal of the second. For example, the ratio
of 2 to 3 is - ANSWER -2/3 = 2 × 1/3
Distributive property. - ANSWER -The
product of a number with a sum equals the sum
not every rational number is an integer. For of the products of the number with each term of
example, 1/2 is a rational number that is not an the sum.
integer. - ANSWER -1/2 = 0.5 2 × (3 + 5) = (2 × 3) + (2 × 5)
There are three basic properties of addition: - Exponentiation - ANSWER -Exponentiation
ANSWER -commutativity, associativity and is repeated multiplication. An exponent is often
identity. called a power. For example, the third power of 2
is
2³ = 2 × 2 × 2 = 8
, NES Elementary Education Subtest 2 Questions And Answers
10 to the 2 power x 10 to the 3 power -
ANSWER -10 to the 5 power
We define the zero power of any nonzero
number to be 1. For example, - ANSWER -
(-3)0 = 1
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
A negative exponent indicates a reciprocal. For 1 power) + 5 x 10 to the 0 power)
example, - ANSWER -2 (-3rd power) =
(3rd power) =
Digits to the right of a decimal point correspond
to negative powers of ten. For example,
The first power of any number is itself. For
example, - ANSWER -2 (to the 1st power) 23.405 - ANSWER -23.405 = (2 x 10 to the
=2 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)
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) Converting a fraction to a decimal. For example
3/8 - ANSWER -3 divided by 8 = 0.375
To exponentiate a power, multiply the exponents.
For example, - ANSWER -(2 to the 3rd) to convert 0.45 to a fraction. - ANSWER -
the 5th = 2 to the 15th 45/100
10 to the 0 power - ANSWER -1 convert 3.208 to a mixed number. -
ANSWER -3 + 208/1000
10 to the 1 power - ANSWER -10
Converting a fraction to a percentage. Convert
the fraction to a decimal and then convert the
decimal to a percentage. For example,
10 to the -2 power - ANSWER - to the 2/5 - ANSWER -2/5 = .4 = 40%
2 power or