NYSTCE Childhood Mathematics 222 –
EXAM STUDY GUIDE 2026/2027 COMPLETE
QUESTIONS WITH VERIFIED CORRECT
ANSWERS || 100% GUARANTEED PASS
Integer - ANSWER set of whole positive and negative numbers includes zero. Does not
include fractions, decimals, or mixed numbers
Prime number - ANSWER whole number greater than one, only has two factors (itself and 1)
Composite number - ANSWER whole number greater than one, has more than two factors
Even number - ANSWER any integer that can be divided by evenly divided by 2 without
leaving a remainder
Odd number - ANSWER any integer that cannot be evenly divided by 2
Decimal number - ANSWER number that uses decimal point to show the part of the number
that is less than one
Decimal point - ANSWER symbol used to separate the ones place from the tenths place in
decimals or dollars from cents in currency
,Decimal place - ANSWER position of number to the right of the decimal point
Base 10 number system - ANSWER uses two different digits
Rational numbers - ANSWER includes all integers, decimals, and fractions. All
terminating/repeating decimals
Irrational numbers - ANSWER cannot be written as fractions or decimals because number of
decimal places is infinite and no recurring patterns exist
Real numbers - ANSWER set of all rational and irrational numbers
Factors - ANSWER numbers that are multiplied together to obtain a product
Common factor - ANSWER Number that divides exactly into two or more other numbers
Prime factor - ANSWER A factor that is also a prime number
Greatest common factor (GCF) - ANSWER largest number that is a factor of two or more
numbers
Least common multiple (LCM) - ANSWER smallest number that is a multiple of two or more
numbers
Rounding - ANSWER approximation of a number by increasing or decreasing it to the
nearest possible exact value of the cutoff digit, 5 or higher round up, 4 or lower round down
, Addition - ANSWER increases value of one quantity by the value of the another quantity
Subtraction - ANSWER opposite of addition, decreases value of one quantity by value of
another quantity
Multiplication - ANSWER repeated addition, one number tells you how many times to add
the other number to itself
Division - ANSWER opposite of multiplication, repeated subtraction, one number tells you
how many parts to divide the other number into
Exponent - ANSWER superscript number placed at top right, indicates how many times to
multiply base number by it self
Order of operations - ANSWER PEMDAS, multiplication and division/addition and
subtraction have equal weight so they are completed left to right in order
Laws of exponents - ANSWER 1) Any number to the power of 1 is equal to itself: 𝑎^1 = 𝑎.
2) The number 1 raised to any power is equal to 1: 1^𝑛 = 1.
3) Any number raised to the power of 0 is equal to 1: 𝑎^0 = 1.
4) Add exponents to multiply powers of the same base number:𝑎^𝑛 × 𝑎^𝑚 = 𝑎^(𝑛+𝑚).
5) Subtract exponents to divide powers of the same number; that is 𝑎^𝑛 ÷ 𝑎^𝑚 = 𝑎^(𝑛−𝑚).
6) Multiply exponents to raise a power to a power: (𝑎^𝑛)^𝑚 = 𝑎^(𝑛×𝑚).
7) If multiplied or divided numbers inside parentheses are collectively raised to a power, this is
the
same as each individual term being raised to that power: (𝑎 × 𝑏)^𝑛 = 𝑎^𝑛 × 𝑏^𝑛; (𝑎 ÷ 𝑏)^𝑛 = 𝑎^𝑛
÷ 𝑏^𝑛
EXAM STUDY GUIDE 2026/2027 COMPLETE
QUESTIONS WITH VERIFIED CORRECT
ANSWERS || 100% GUARANTEED PASS
Integer - ANSWER set of whole positive and negative numbers includes zero. Does not
include fractions, decimals, or mixed numbers
Prime number - ANSWER whole number greater than one, only has two factors (itself and 1)
Composite number - ANSWER whole number greater than one, has more than two factors
Even number - ANSWER any integer that can be divided by evenly divided by 2 without
leaving a remainder
Odd number - ANSWER any integer that cannot be evenly divided by 2
Decimal number - ANSWER number that uses decimal point to show the part of the number
that is less than one
Decimal point - ANSWER symbol used to separate the ones place from the tenths place in
decimals or dollars from cents in currency
,Decimal place - ANSWER position of number to the right of the decimal point
Base 10 number system - ANSWER uses two different digits
Rational numbers - ANSWER includes all integers, decimals, and fractions. All
terminating/repeating decimals
Irrational numbers - ANSWER cannot be written as fractions or decimals because number of
decimal places is infinite and no recurring patterns exist
Real numbers - ANSWER set of all rational and irrational numbers
Factors - ANSWER numbers that are multiplied together to obtain a product
Common factor - ANSWER Number that divides exactly into two or more other numbers
Prime factor - ANSWER A factor that is also a prime number
Greatest common factor (GCF) - ANSWER largest number that is a factor of two or more
numbers
Least common multiple (LCM) - ANSWER smallest number that is a multiple of two or more
numbers
Rounding - ANSWER approximation of a number by increasing or decreasing it to the
nearest possible exact value of the cutoff digit, 5 or higher round up, 4 or lower round down
, Addition - ANSWER increases value of one quantity by the value of the another quantity
Subtraction - ANSWER opposite of addition, decreases value of one quantity by value of
another quantity
Multiplication - ANSWER repeated addition, one number tells you how many times to add
the other number to itself
Division - ANSWER opposite of multiplication, repeated subtraction, one number tells you
how many parts to divide the other number into
Exponent - ANSWER superscript number placed at top right, indicates how many times to
multiply base number by it self
Order of operations - ANSWER PEMDAS, multiplication and division/addition and
subtraction have equal weight so they are completed left to right in order
Laws of exponents - ANSWER 1) Any number to the power of 1 is equal to itself: 𝑎^1 = 𝑎.
2) The number 1 raised to any power is equal to 1: 1^𝑛 = 1.
3) Any number raised to the power of 0 is equal to 1: 𝑎^0 = 1.
4) Add exponents to multiply powers of the same base number:𝑎^𝑛 × 𝑎^𝑚 = 𝑎^(𝑛+𝑚).
5) Subtract exponents to divide powers of the same number; that is 𝑎^𝑛 ÷ 𝑎^𝑚 = 𝑎^(𝑛−𝑚).
6) Multiply exponents to raise a power to a power: (𝑎^𝑛)^𝑚 = 𝑎^(𝑛×𝑚).
7) If multiplied or divided numbers inside parentheses are collectively raised to a power, this is
the
same as each individual term being raised to that power: (𝑎 × 𝑏)^𝑛 = 𝑎^𝑛 × 𝑏^𝑛; (𝑎 ÷ 𝑏)^𝑛 = 𝑎^𝑛
÷ 𝑏^𝑛
