PRAXIS: CORE Exam Study Guide with Complete Solution
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PRAXIS: CORE Exam Study Guide with Complete Solutions
Whole Numbers - ️️ 0 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 - ️️ Fractions and decimals; not whole numbers
Positive and Negative numbers - ️️ a negati...
PRAXIS: CORE Exam Study Guide with Complete Solutions
Whole Numbers - ✔️✔️0 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 - ✔️✔️Fractions and decimals; not whole numbers
Positive and Negative numbers - ✔️✔️a negative number is the opposite of a positive
number, and vice versa.
Integers - ✔️✔️All the whole numbers and their opposites. The only integer that doesn't
have an opposite is 0
Absolute Value - ✔️✔️an integer's positive distance from 0. It's value without a negative
sign.
Ex: |4| = 4 or |-4| = 4
Working with integers - ✔️✔️* 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 - ✔️✔️a 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 - ✔️✔️a whole number that only has itself and 1 for factors.
Prime factorization - ✔️✔️a representation of the number as a product of all its prime
factors.
greatest common factor vs least common multiple - ✔️✔️GCF: 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 - ✔️✔️represents how many times a number is a factor. 2 = squared, 3 = cubed
Square root - ✔️✔️a way to find what has to be squared to get a number
Numerator and Denominator - ✔️✔️N: integer on the top of the fraction
D: integer of the bottom of the fraction
Ratio - ✔️✔️A comparison of two quantities
Mixed Number - ✔️✔️an integer followed by a fraction
Simplified - ✔️✔️it 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 - ✔️✔️*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 - ✔️✔️*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.
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