Arithmetic Flashcards
Integer
Any whole number (not a fraction or decimal) e.g. 1,2,3,-1,-2,-3
Even integer
Integer when divided by 2 gives you another integer
Odd integer
Integer when divided by 2 gives you a noninteger
Real number
Any number on the number line (e.g. 1, 2, pi, etc)
Divisor or factor
Divisor is a positive integer that can divide into n without creating a remainder
Multiple
Multiple of integer N results from multiplying n with another integer
Prime number
Integer only divisible by itself and one (0 and 1 are not prime numbers)
DIVISION properties (7/3 = 2r1)
7, dividend; 3, divisor; 2, quotient; 1, remainder
1^2
1
2^2
4
3^2
9
4^2
16
5^2
25
6^2
36
7^2
49
8^2
64
9^2
81
10^2
100
11^2
121
12^2
144
13^2
169
14^2
196
15^2
225
20^2
400
25^2
625
2^3
8
2^4
17
2^5
32
2^6
64
2^7
128
2^8
256
2^9
512
2^10
1024
3^3
27
3^4
81
4^3
64
4^4
256
5^3
125
5^4
625
6^3
216
Adding/subtracting fractions
Find common denominator
Multiplying fractions
Multiply all
Dividing fractions
Flip fraction
1/2
.5
1/3
.333
2/3
.666
1/4
.25
3/4
.75
1/5
.2
2/5
.4
3/5
.6
4/5
.8
1/6
.167
5/6
.833
1/7
.143
1/8
.125
3/8
.375
5/8
.625
7/8
.875
1/9
.111
2/9
.222
4/9
.444
5/9
.555
7/9
.777
8/9
.888
1/10
.1
3/10
.3
7/10
.7
9/10
.9
1/11
.0909
2 (divisibility rule)
Number is even
3 (divisibility rule)
The sum of digits is divisible by 3
4 (divisibility rule)
The last 2 digits = a Number divisible by 4
5 (divisibility rule)
The last digit of the number is either a 0 or 5
7 (divisibility rule)
Rest of digits - 2(last digit) = divisible by 7
9 (divisibility rule)
Sum of digits divisible by 9
10 (divisibility rule)
Last digit is 0
11 (divisibility rule)
Difference between sums of alternate digits = divisible by 11 (4,862, 10 - 10 = 0)
25 (divisibility rule)
Last 2 digits of number are divisible by 25
Powers end in 0
Will end in 0
Powers end in 1
will end in 1
Powers end in 5
Will end in 5
Powers end in 6
Will end in 6
Adding decimals
Line up decimal points
Multiplying decimals
Add all decimal places and integrate in final number
Dividing decimals
Move decimals to most right point and divide
Prime #
2,3,5,7,11,13,17,19,23,29,31,37,41,47
Factor
Positive integer that can be evenly divided into another integer
Factor tree
Break down tree into factor pairs closest to sq rt
Greatest common factor
Is the product of all prime factors the #s have in common
Least common multiple (e.g. LCM of 42 and 56)
Prime factorization (168)
Sum and difference of two even integers
Even
Sum and difference of two off integers
Even
Sum and difference of an odd and an even
Odd
Product of two even integers
Even
Product o two odd integers
Odd
Product of an odd and even integer
Even
(-)(+)
(-)
(-)(-)
(+)
(+)(+)
(+)
(-)/(+) or (+)/(-)
(-)
(-)/(-)
(+)
(+)/(+)
(+)
% change
(New value - old value)/(old value)
% increase of x
(1 + percent increase/100)x
% decrease of x
(1 - percent decrease/100)x
Ratio
Proportional relationship comparing two or more numbers
