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- Numbers we think of when we think of numbers; positive or negative.
- Zero is an integer.
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Name digit and unit in 246 |
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- 2 = Hundreds digit
- 4 = Tens digit
- 6 = Units/Ones digit
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Name the digits and unit in 27.63 |
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- 2 = Tens digit
- 7 = Units/Ones digit
- 6 = Tenths digit
- 3 = Hundreths digit
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The number that is left over at the end of division |
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Integers listed in order of increasing size without any integers missing in between.
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Formula for consecutive integers |
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Numbers that different values (x and y) |
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- Positive integer that can be divided evenly only by two numbers: itself and 1.
- 2, 3, 5, 7, 11, 13
- 2 is the smallest and only even prime number
- Neither 0 or 1 is a prime number
- All prime numbers are positive (no negatives)
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- When a number can be evenly divided by another number = divisble
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A number is divisible by two if... |
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Its units digit can be divided evenly by two.
Example: 772 is divisible by 2. |
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A number is divisible by 3 if... |
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The sum of its digits can be divided evenly by 3.
216 = 2+1+6= 9
9 is divisible by 3, so 216 is divisible by 3 |
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A number is divisible by 4 if... |
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The number formed by its last two digits is divisble by 4.
3,028 --> 28
28/4 = 8, so 3,028 is divisible by 4 |
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A number is divisible by 5 if... |
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Its final digit is either 0 or 5 |
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A number is divisible by 6 if... |
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It is divisble by both 2 and 3, the factors of 6.
318 is even, so it is divisble by 2.
318 = 3+1+8 = 12
12 is divisble by 3 |
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A number is a factor of another number if it can be divided evenly into that number.
Factors of 15 = 1,3,5,15 |
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A number (x) is considered to be a multiple of another number (y) if y times another integer equals x.
15 is a multiple of 3, since you can multiple 3x5
I would consider this like a "product" of a number
"Factors are few, multiples are many" |
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- Distance between a number and zero
- Always postive
- -5 = 5
- 6 = 6
- Expressed as a the number sandwiched between two lines l6l
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Best strategy for answering data sufficiency |
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Look at one statement at a time and determine whether you can crack that statement with the information provided. |
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The result of subtraction |
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The result of multiplication |
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In the expression x², the little two is called the |
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exponent (Raising to a power) |
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Order of arithmetic operations |
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Please - Parentheses
Excuse - Exponents
My - Multiplicaiton
Dear - Division
Aunt - Addition
Sally - Subtraction |
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When you are adding or multiplying a series of numbers, you can group or regroup the numbers any way you like. |
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The Distributive Law means that you get the same answer when you multiply a number by a group of numbers added together as when you do each multiplication separately.
a(b+c) = ab + ac |
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If a problem gives you information in "factored form", i.e. a(b+c), you should... |
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Distribute it immediately |
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If a problem gives you information in "distributed form", i.e. ab + ac), you should... |
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Another way of expressing division.
1 over 2 = 1 divided by 2 |
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Bottom number in a fraction |
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Important way to think of a fraction... |
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Part/Whole
7/10 = 7 parts out of a total of 10 parts |
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Logic for adding and subtracting fractions with the same demonitor |
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Add: Simply add the nemerators and place them over the common denominator
1/7 + 5/7 = (1+5)/7 = 6/7 |
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First thing you must do when adding or subtracting two or more fractions with different denominators |
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You must get them to all have the same denominator |
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How do you make different denominators the same |
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Multiple the numerator and denominator of each fraction by a number that will give it a denominator in common with the others
1/2 + 2/3 =
1/2 * 3/3 + 2/3 * 2/2
3/6 + 4/6 = 7/6 |
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How to multiply fractions |
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Just multiply the numerators and put the product over the product of the denominators
2/3 * 6/5
Just multiple 2*6 = 12
3*5 = 15
12/15 |
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How do you reduce fractions? |
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Find a factor of both the numerator and the denominator.
12/15
4*3 = 12
5*3 = 15
Remove the number in common (3)
and you just reduced your fraction to 4/5 |
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