NYSTCE CHILDHOOD MATH 222 EXAM
QUESTIONS AND ANSWERS 2026
VERIFIED.
Integer - ANS set of whole positive and negative numbers includes zero. Does not include
fractions, decimals, or mixed numbers
Prime number - ANS whole number greater than one, only has two factors (itself and 1)
Composite number - ANS whole number greater than one, has more than two factors
Even number - ANS any integer that can be divided by evenly divided by 2 without leaving a
remainder
Odd number - ANS any integer that cannot be evenly divided by 2
Decimal number - ANS number that uses decimal point to show the part of the number that
is less than one
Decimal point - ANS symbol used to separate the ones place from the tenths place in
decimals or dollars from cents in currency
Decimal place - ANS position of number to the right of the decimal point
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,Base 10 number system - ANS uses two different digits
Rational numbers - ANS includes all integers, decimals, and fractions. All
terminating/repeating decimals
Irrational numbers - ANS cannot be written as fractions or decimals because number of
decimal places is infinite and no recurring patterns exist
Real numbers - ANS set of all rational and irrational numbers
Factors - ANS numbers that are multiplied together to obtain a product
Common factor - ANS Number that divides exactly into two or more other numbers
Prime factor - ANS A factor that is also a prime number
Greatest common factor (GCF) - ANS largest number that is a factor of two or more numbers
Least common multiple (LCM) - ANS smallest number that is a multiple of two or more
numbers
Rounding - ANS 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 - ANS increases value of one quantity by the value of the another quantity
Subtraction - ANS opposite of addition, decreases value of one quantity by value of another
quantity
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, Multiplication - ANS repeated addition, one number tells you how many times to add the
other number to itself
Division - ANS opposite of multiplication, repeated subtraction, one number tells you how
many parts to divide the other number into
Exponent - ANS superscript number placed at top right, indicates how many times to multiply
base number by it self
Order of operations - ANS PEMDAS, multiplication and division/addition and subtraction have
equal weight so they are completed left to right in order
Laws of exponents - ANS 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
Roots - ANS another way of writing a fractional exponent, √𝑎 (with n in the upper left), can
be translated as a^(1/n)
Perfect square - ANS number that has an integer for its square root, there are 10 for numbers
1 to 100
Scientific notation - ANS way of writing larger numbers in a shorter form 𝑎 × 10^𝑛, a is
greater than or equal to 1 but less than 10
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QUESTIONS AND ANSWERS 2026
VERIFIED.
Integer - ANS set of whole positive and negative numbers includes zero. Does not include
fractions, decimals, or mixed numbers
Prime number - ANS whole number greater than one, only has two factors (itself and 1)
Composite number - ANS whole number greater than one, has more than two factors
Even number - ANS any integer that can be divided by evenly divided by 2 without leaving a
remainder
Odd number - ANS any integer that cannot be evenly divided by 2
Decimal number - ANS number that uses decimal point to show the part of the number that
is less than one
Decimal point - ANS symbol used to separate the ones place from the tenths place in
decimals or dollars from cents in currency
Decimal place - ANS position of number to the right of the decimal point
@COPYRIGHT ALL RIGHTS RESERVED PAGE 1 OF 19
,Base 10 number system - ANS uses two different digits
Rational numbers - ANS includes all integers, decimals, and fractions. All
terminating/repeating decimals
Irrational numbers - ANS cannot be written as fractions or decimals because number of
decimal places is infinite and no recurring patterns exist
Real numbers - ANS set of all rational and irrational numbers
Factors - ANS numbers that are multiplied together to obtain a product
Common factor - ANS Number that divides exactly into two or more other numbers
Prime factor - ANS A factor that is also a prime number
Greatest common factor (GCF) - ANS largest number that is a factor of two or more numbers
Least common multiple (LCM) - ANS smallest number that is a multiple of two or more
numbers
Rounding - ANS 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 - ANS increases value of one quantity by the value of the another quantity
Subtraction - ANS opposite of addition, decreases value of one quantity by value of another
quantity
@COPYRIGHT ALL RIGHTS RESERVED PAGE 2 OF 19
, Multiplication - ANS repeated addition, one number tells you how many times to add the
other number to itself
Division - ANS opposite of multiplication, repeated subtraction, one number tells you how
many parts to divide the other number into
Exponent - ANS superscript number placed at top right, indicates how many times to multiply
base number by it self
Order of operations - ANS PEMDAS, multiplication and division/addition and subtraction have
equal weight so they are completed left to right in order
Laws of exponents - ANS 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
Roots - ANS another way of writing a fractional exponent, √𝑎 (with n in the upper left), can
be translated as a^(1/n)
Perfect square - ANS number that has an integer for its square root, there are 10 for numbers
1 to 100
Scientific notation - ANS way of writing larger numbers in a shorter form 𝑎 × 10^𝑛, a is
greater than or equal to 1 but less than 10
@COPYRIGHT ALL RIGHTS RESERVED PAGE 3 OF 19
