PRAXIS: CORE with answers
Whole Numbers - correct answers0 and go on forever: 1, 2, 3 and so on. Each whole number is
separated from the next by a quantity of 1
Partial Numbers - correct answersFractions and decimals; not whole numbers
Positive and Negative numbers - correct answersa negative number is the opposite of a positive
number, and vice versa.
Integers - correct answersAll the whole numbers and their opposites. The only integer that doesn't have
an opposite is 0
Absolute Value - correct answersan integer's positive distance from 0. It's value without a negative sign.
Ex: |4| = 4 or |-4| = 4
Working with integers - correct answers* Subtracting an integer is the same as adding its opposite, and
adding a number is the same as subtracting its opposite.
*If an even number of negative integers are multiplied or divided, the product is positive. If an odd
number of negative integers are multiplied or divided, the product is negative.
*To add two integers with the same sign, add their absolute values and give the sum of the sign that
both numbers have
* To add two integers with opposite signs, subtract the smaller absolute value from the greater absolute
value and give the difference the sign of the number with the greater absolute value.
Factor - correct answersa factor of a whole number is the whole number that can be divided into it a
whole number of times.
Remember: every whole number has itself and 1 for factors. If those are the only two factors of a
number its a prime number.
Prime number - correct answersa whole number that only has itself and 1 for factors.
Prime factorization - correct answersa representation of the number as a product of all its prime factors.
greatest common factor vs least common multiple - correct answersGCF: greatest factor in common (20:
1, 2, 4, 5, 10, 20)
LCM: lowest number in common and is a multiple instead of a factor. (3: 3, 6, 9, 12...)
Exponent - correct answersrepresents how many times a number is a factor. 2 = squared, 3 = cubed
Square root - correct answersa way to find what has to be squared to get a number
Numerator and Denominator - correct answersN: integer on the top of the fraction
D: integer of the bottom of the fraction
Ratio - correct answersA comparison of two quantities
, Mixed Number - correct answersan integer followed by a fraction
Simplified - correct answersit cannot be written with two integers with smaller absolute values. Written
in the simplest form possible.
(Find the GCF of the numerator and denominator and divide)
Converting mixed numbers to fractions - correct answers*Multiply denominator of the fraction by
absolute value of the integer.
*Add the numerator to that product.
*Write the result of the denominator of the fraction
**Put a negative sign before the fraction if the mixed number is negative
Converting fractions to mixed numbers - correct answers*Write the highest integral number of times
the denominator fits completely into the numerator.
*Write what remains as the numerator of a fraction beside the integer.
*The denominator of the fraction will be the denominator of the fraction you are converting.
Common denominator - correct answerssame denominator for both fractions
Adding fractions - correct answersw/ common denominator: add numerators
Diff denominators: make denominator the same - multiply the numerator and the denominator by the
same number which should be the number you have to multiply to get the denominator you want.
Multiplying fractions - correct answersmultiply the numerators and then multiply the denominators
Dividing fractions - correct answerssame as multiplying by its reciprocal (switch the numerator and
denominator)
Reciprocal - correct answersswitch the numerator and denominator
Improper Fraction - correct answersa fraction in which the numerator is greater than the denominator
Percent - correct answersa representation of a number of hundredths (%)
Decimals - correct answersrepresent whole and partial numbers
Converting percents to decimals - correct answersdrop the % sign and put the number over 100 &
simplify or drop the sign and move the decimal two places to the left
Converting decimals to percents - correct answersmoving the decimal two places to the right and adding
% sign.
Multiplying decimals - correct answersthe total number of digits after the decimal point in the answer
equals the number of placeds after the decimal points in the numbers you're multiplying. (ex: 3 numbers
after decimal before = 3 decimals after when done)
Number line - correct answersillustrate orders of numbers. Arrows indicate that the numbers go on
infinitely in both directions.
Whole Numbers - correct answers0 and go on forever: 1, 2, 3 and so on. Each whole number is
separated from the next by a quantity of 1
Partial Numbers - correct answersFractions and decimals; not whole numbers
Positive and Negative numbers - correct answersa negative number is the opposite of a positive
number, and vice versa.
Integers - correct answersAll the whole numbers and their opposites. The only integer that doesn't have
an opposite is 0
Absolute Value - correct answersan integer's positive distance from 0. It's value without a negative sign.
Ex: |4| = 4 or |-4| = 4
Working with integers - correct answers* Subtracting an integer is the same as adding its opposite, and
adding a number is the same as subtracting its opposite.
*If an even number of negative integers are multiplied or divided, the product is positive. If an odd
number of negative integers are multiplied or divided, the product is negative.
*To add two integers with the same sign, add their absolute values and give the sum of the sign that
both numbers have
* To add two integers with opposite signs, subtract the smaller absolute value from the greater absolute
value and give the difference the sign of the number with the greater absolute value.
Factor - correct answersa factor of a whole number is the whole number that can be divided into it a
whole number of times.
Remember: every whole number has itself and 1 for factors. If those are the only two factors of a
number its a prime number.
Prime number - correct answersa whole number that only has itself and 1 for factors.
Prime factorization - correct answersa representation of the number as a product of all its prime factors.
greatest common factor vs least common multiple - correct answersGCF: greatest factor in common (20:
1, 2, 4, 5, 10, 20)
LCM: lowest number in common and is a multiple instead of a factor. (3: 3, 6, 9, 12...)
Exponent - correct answersrepresents how many times a number is a factor. 2 = squared, 3 = cubed
Square root - correct answersa way to find what has to be squared to get a number
Numerator and Denominator - correct answersN: integer on the top of the fraction
D: integer of the bottom of the fraction
Ratio - correct answersA comparison of two quantities
, Mixed Number - correct answersan integer followed by a fraction
Simplified - correct answersit cannot be written with two integers with smaller absolute values. Written
in the simplest form possible.
(Find the GCF of the numerator and denominator and divide)
Converting mixed numbers to fractions - correct answers*Multiply denominator of the fraction by
absolute value of the integer.
*Add the numerator to that product.
*Write the result of the denominator of the fraction
**Put a negative sign before the fraction if the mixed number is negative
Converting fractions to mixed numbers - correct answers*Write the highest integral number of times
the denominator fits completely into the numerator.
*Write what remains as the numerator of a fraction beside the integer.
*The denominator of the fraction will be the denominator of the fraction you are converting.
Common denominator - correct answerssame denominator for both fractions
Adding fractions - correct answersw/ common denominator: add numerators
Diff denominators: make denominator the same - multiply the numerator and the denominator by the
same number which should be the number you have to multiply to get the denominator you want.
Multiplying fractions - correct answersmultiply the numerators and then multiply the denominators
Dividing fractions - correct answerssame as multiplying by its reciprocal (switch the numerator and
denominator)
Reciprocal - correct answersswitch the numerator and denominator
Improper Fraction - correct answersa fraction in which the numerator is greater than the denominator
Percent - correct answersa representation of a number of hundredths (%)
Decimals - correct answersrepresent whole and partial numbers
Converting percents to decimals - correct answersdrop the % sign and put the number over 100 &
simplify or drop the sign and move the decimal two places to the left
Converting decimals to percents - correct answersmoving the decimal two places to the right and adding
% sign.
Multiplying decimals - correct answersthe total number of digits after the decimal point in the answer
equals the number of placeds after the decimal points in the numbers you're multiplying. (ex: 3 numbers
after decimal before = 3 decimals after when done)
Number line - correct answersillustrate orders of numbers. Arrows indicate that the numbers go on
infinitely in both directions.
