NYSTCE Childhood Math 222 with all Correct & 100%
Verified Answers |Actual Complete Exam |Already
Graded A+
Integer ✔Correct Answer-set of whole positive and negative numbers includes zero. Does not
include fractions, decimals, or mixed numbers
Prime number ✔Correct Answer-whole number greater than one, only has two factors (itself and
1)
Composite number ✔Correct Answer-whole number greater than one, has more than two factors
Even number ✔Correct Answer-any integer that can be divided by evenly divided by 2 without
leaving a remainder
Odd number ✔Correct Answer-any integer that cannot be evenly divided by 2
Decimal number ✔Correct Answer-number that uses decimal point to show the part of the
number that is less than one
Decimal point ✔Correct Answer-symbol used to separate the ones place from the tenths place in
decimals or dollars from cents in currency
Decimal place ✔Correct Answer-position of number to the right of the decimal point
Base 10 number system ✔Correct Answer-uses two different digits
Rational numbers ✔Correct Answer-includes all integers, decimals, and fractions. All
terminating/repeating decimals
Irrational numbers ✔Correct Answer-cannot be written as fractions or decimals because number
of decimal places is infinite and no recurring patterns exist
Real numbers ✔Correct Answer-set of all rational and irrational numbers
Factors ✔Correct Answer-numbers that are multiplied together to obtain a product
Common factor ✔Correct Answer-Number that divides exactly into two or more other numbers
Prime factor ✔Correct Answer-A factor that is also a prime number
Greatest common factor (GCF) ✔Correct Answer-largest number that is a factor of two or more
numbers
Least common multiple (LCM) ✔Correct Answer-smallest number that is a multiple of two or more
numbers
, Rounding ✔Correct 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 ✔Correct Answer-increases value of one quantity by the value of the another quantity
Subtraction ✔Correct Answer-opposite of addition, decreases value of one quantity by value of
another quantity
Multiplication ✔Correct Answer-repeated addition, one number tells you how many times to add
the other number to itself
Division ✔Correct Answer-opposite of multiplication, repeated subtraction, one number tells you
how many parts to divide the other number into
Exponent ✔Correct Answer-superscript number placed at top right, indicates how many times to
multiply base number by it self
Order of operations ✔Correct Answer-PEMDAS, multiplication and division/addition and
subtraction have equal weight so they are completed left to right in order
Laws of exponents ✔Correct 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
Roots ✔Correct Answer-another way of writing a fractional exponent, √𝑎 (with n in the upper left),
can be translated as a^(1/n)
Perfect square ✔Correct Answer-number that has an integer for its square root, there are 10 for
numbers 1 to 100
Scientific notation ✔Correct Answer-way of writing larger numbers in a shorter form 𝑎 × 10^𝑛, a is
greater than or equal to 1 but less than 10
Fraction ✔Correct Answer-number expressed as one integer (numerator) written above another
integer (denominator) with dividing line b/t them, x/y. Represents quotient of 2 numbers, x divided
by y
Equivalent fraction ✔Correct Answer-can manipulate fractions by multiplying numerator and
denominator by same number, have a fraction that is technically equal in value, can also divide
numerator and denominator by same number to create fraction that is equal in value
Common denominator ✔Correct Answer-Manipulate fraction to have two or more fractions with
same denominator, should be LCM of original denominators
Verified Answers |Actual Complete Exam |Already
Graded A+
Integer ✔Correct Answer-set of whole positive and negative numbers includes zero. Does not
include fractions, decimals, or mixed numbers
Prime number ✔Correct Answer-whole number greater than one, only has two factors (itself and
1)
Composite number ✔Correct Answer-whole number greater than one, has more than two factors
Even number ✔Correct Answer-any integer that can be divided by evenly divided by 2 without
leaving a remainder
Odd number ✔Correct Answer-any integer that cannot be evenly divided by 2
Decimal number ✔Correct Answer-number that uses decimal point to show the part of the
number that is less than one
Decimal point ✔Correct Answer-symbol used to separate the ones place from the tenths place in
decimals or dollars from cents in currency
Decimal place ✔Correct Answer-position of number to the right of the decimal point
Base 10 number system ✔Correct Answer-uses two different digits
Rational numbers ✔Correct Answer-includes all integers, decimals, and fractions. All
terminating/repeating decimals
Irrational numbers ✔Correct Answer-cannot be written as fractions or decimals because number
of decimal places is infinite and no recurring patterns exist
Real numbers ✔Correct Answer-set of all rational and irrational numbers
Factors ✔Correct Answer-numbers that are multiplied together to obtain a product
Common factor ✔Correct Answer-Number that divides exactly into two or more other numbers
Prime factor ✔Correct Answer-A factor that is also a prime number
Greatest common factor (GCF) ✔Correct Answer-largest number that is a factor of two or more
numbers
Least common multiple (LCM) ✔Correct Answer-smallest number that is a multiple of two or more
numbers
, Rounding ✔Correct 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 ✔Correct Answer-increases value of one quantity by the value of the another quantity
Subtraction ✔Correct Answer-opposite of addition, decreases value of one quantity by value of
another quantity
Multiplication ✔Correct Answer-repeated addition, one number tells you how many times to add
the other number to itself
Division ✔Correct Answer-opposite of multiplication, repeated subtraction, one number tells you
how many parts to divide the other number into
Exponent ✔Correct Answer-superscript number placed at top right, indicates how many times to
multiply base number by it self
Order of operations ✔Correct Answer-PEMDAS, multiplication and division/addition and
subtraction have equal weight so they are completed left to right in order
Laws of exponents ✔Correct 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
Roots ✔Correct Answer-another way of writing a fractional exponent, √𝑎 (with n in the upper left),
can be translated as a^(1/n)
Perfect square ✔Correct Answer-number that has an integer for its square root, there are 10 for
numbers 1 to 100
Scientific notation ✔Correct Answer-way of writing larger numbers in a shorter form 𝑎 × 10^𝑛, a is
greater than or equal to 1 but less than 10
Fraction ✔Correct Answer-number expressed as one integer (numerator) written above another
integer (denominator) with dividing line b/t them, x/y. Represents quotient of 2 numbers, x divided
by y
Equivalent fraction ✔Correct Answer-can manipulate fractions by multiplying numerator and
denominator by same number, have a fraction that is technically equal in value, can also divide
numerator and denominator by same number to create fraction that is equal in value
Common denominator ✔Correct Answer-Manipulate fraction to have two or more fractions with
same denominator, should be LCM of original denominators
