ATI TEAS MATH SECRET STUDY GUIDE SET OF
QUESTIONS AND PRECISE EXAMPLES
GUARANTEED SUCCESS
real numbers
All rational and irrational numbers (basically all numbers that are real)
how to write quantities in word form
avoid using AND and use high fin between the tens and the ones.
Ex: 9435 = nine thousand four hundred thirty-five
how to write decimals in words
do not state the zeros before the decimal, basically only the numbers that have
value
ex:
0.901= nine hundred one thousandths
0.06 = six hundredths
0.6= six tenths
6. 0 = six
can a fraction have a denominator of zero
no, when a fraction has a zero as denominator, this is called undefined
(whereas a fraction can have a zero on the numerator)
how to know if a fraction is equivalent:
just use a proportion, (cross multiply and then divide by the numerator and if the
answer is the same then the fraction is the same/equivalent.
1
,every time you answer with a fraction, the fraction must be
at is minimum terms (simplified)
-does not matter if you are converting percent or decimal to fraction, you must
simplify your answer
How to convert a fraction to percent?
Divide the top of the fraction by the bottom, multiply by 100 & add % sign.
Ex. 2/3 = 66.7%
or better: just multiply the denominator for a number that gives you 100. then
multiply the numerator for that same number and just add a % the answer.
EX: 4/5
5x20 =100
4x20 =80 then add % =80%
what does a negative power means?
a negative exponent is the same as the reciprocal.
EX: A^-2 is equal to 1/A^2
adding and Subtracting Decimals
for both adding and subtracting decimals; Line up the decimal points and add or
subtract normally (ex. 20.02-1.36=18.66)
Multiplying Decimals
1. Multiple numbers as if whole numbers.
2. Then count total number of decimal places in the factors and add them (Ex: 2.2
and 2.33 has three total decimal places)
3. Add the total number of Decimal places to product, counting left to right (Ex:
22*233 = 5126 --> 5.126 final answer)
Dividing Decimals
Move the decimal to the right on both numbers until there is nothing to the right of
the decimal, then move the decimal inside of the house, the same amount of
spaces. add zeros if needed. then move the decimal up and divide normally.
2
, what is common factor
A common factor is a number that can be divided into two different numbers,
without leaving a remainder.
The gcf of 18 and 30 can be obtained like this: The factors of 18 are 18, 9, 6, 3, 2,
1. The factors of 30 are 30, 15, 10, 6, 5, 3, 2, 1. The common factors of 18 and 30
are 6, 3, 2, 1, intersecting the two sets above.
greatest common factor
The largest factor that two or more numbers have in common.
lowest common factor
The smallest multiple shared by 2 or more numbers
The prime factors of a number
Prime factors are factors of a number that are, themselves, prime numbers.
Ex:
The only way to write 42 as the product of primes (except to change the order of
the factors) is 2 × 3 × 7. We call 2 × 3 × 7 the prime factorization of 42. It turns out
that every counting number (natural number) has a unique prime factorization,
different from any other counting number.
NOTE THE NUMBER 2 IS PART OF THE PRIME FACTORS;(remember in
order to be a prime number, a number must be able to be divided by two numbers
which are 1 and its self; and for number 2, this is true)
least common multiple
is the smaller number that is multiple of 2 or more numbers.
3
QUESTIONS AND PRECISE EXAMPLES
GUARANTEED SUCCESS
real numbers
All rational and irrational numbers (basically all numbers that are real)
how to write quantities in word form
avoid using AND and use high fin between the tens and the ones.
Ex: 9435 = nine thousand four hundred thirty-five
how to write decimals in words
do not state the zeros before the decimal, basically only the numbers that have
value
ex:
0.901= nine hundred one thousandths
0.06 = six hundredths
0.6= six tenths
6. 0 = six
can a fraction have a denominator of zero
no, when a fraction has a zero as denominator, this is called undefined
(whereas a fraction can have a zero on the numerator)
how to know if a fraction is equivalent:
just use a proportion, (cross multiply and then divide by the numerator and if the
answer is the same then the fraction is the same/equivalent.
1
,every time you answer with a fraction, the fraction must be
at is minimum terms (simplified)
-does not matter if you are converting percent or decimal to fraction, you must
simplify your answer
How to convert a fraction to percent?
Divide the top of the fraction by the bottom, multiply by 100 & add % sign.
Ex. 2/3 = 66.7%
or better: just multiply the denominator for a number that gives you 100. then
multiply the numerator for that same number and just add a % the answer.
EX: 4/5
5x20 =100
4x20 =80 then add % =80%
what does a negative power means?
a negative exponent is the same as the reciprocal.
EX: A^-2 is equal to 1/A^2
adding and Subtracting Decimals
for both adding and subtracting decimals; Line up the decimal points and add or
subtract normally (ex. 20.02-1.36=18.66)
Multiplying Decimals
1. Multiple numbers as if whole numbers.
2. Then count total number of decimal places in the factors and add them (Ex: 2.2
and 2.33 has three total decimal places)
3. Add the total number of Decimal places to product, counting left to right (Ex:
22*233 = 5126 --> 5.126 final answer)
Dividing Decimals
Move the decimal to the right on both numbers until there is nothing to the right of
the decimal, then move the decimal inside of the house, the same amount of
spaces. add zeros if needed. then move the decimal up and divide normally.
2
, what is common factor
A common factor is a number that can be divided into two different numbers,
without leaving a remainder.
The gcf of 18 and 30 can be obtained like this: The factors of 18 are 18, 9, 6, 3, 2,
1. The factors of 30 are 30, 15, 10, 6, 5, 3, 2, 1. The common factors of 18 and 30
are 6, 3, 2, 1, intersecting the two sets above.
greatest common factor
The largest factor that two or more numbers have in common.
lowest common factor
The smallest multiple shared by 2 or more numbers
The prime factors of a number
Prime factors are factors of a number that are, themselves, prime numbers.
Ex:
The only way to write 42 as the product of primes (except to change the order of
the factors) is 2 × 3 × 7. We call 2 × 3 × 7 the prime factorization of 42. It turns out
that every counting number (natural number) has a unique prime factorization,
different from any other counting number.
NOTE THE NUMBER 2 IS PART OF THE PRIME FACTORS;(remember in
order to be a prime number, a number must be able to be divided by two numbers
which are 1 and its self; and for number 2, this is true)
least common multiple
is the smaller number that is multiple of 2 or more numbers.
3
