Foundations of Math Flashcards
Multiplication Tables up to 15:
3x1=
3x2=
3x3=
3x4=
3x5=
3x6=
3x7=
3x8=
3x9=
3x10=
3x11=
3x12=
3x13=
3x14=
3x15=
3x1=3
3x2=6
3x3=9
3x4=12
3x5=15
3x6=18
3x7=21
3x8=24
3x9=27
3x10=30
3x11=33
3x12=36
3x13=39
3x14=42
3x15=45
4x1=
4x2=
4x3=
4x4=
4x5=
4x6=
4x7=
4x8=
4x9=
4x10=
4x11=
4x12=
4x13=
4x14=
4x15=
4x1=4
4x2=8
4x3=12
4x4=16
4x5=20
4x6=24
4x7=28
4x8=32
4x9=36
4x10=40
4x11=44
4x12=48
4x13=52
4x14=56
4x15=60
5x1=
5x2=
5x3=
5x4=
5x5=
5x6=
5x7=
5x8=
5x9=
5x10=
5x11=
5x12=
5x13=
5x14=
5x15=
5x1=5
5x2=10
5x3=15
5x4=20
5x5=25
5x6=30
5x7=35
5x8=40
5x9=45
5x10=50
5x11=55
5x12=60
5x13=65
5x14=70
5x15=75
6x1=
6x2=
6x3=
6x4=
6x5=
6x6=
6x7=
6x8=
6x9=
6x10=
6x11=
6x12=
6x13=
6x14=
6x15=
6x1=6
6x2=12
6x3=18
6x4=24
6x5=30
6x6=36
6x7=42
6x8=48
6x9=54
6x10=60
6x11=66
6x12=72
6x13=78
6x14=84
6x15=90
7x1=
7x2=
7x3=
7x4=
7x5=
7x6=
7x7=
7x8=
7x9=
7x10=
7x11=
7x12=
7x13=
7x14=
7x15=
7x1=7
7x2=14
7x3=21
7x4=28
7x5=35
7x6=42
7x7=49
7x8=56
7x9=63
7x10=70
7x11=77
7x12=84
7x13=91
7x14=98
7x15=105
8x1=
8x2=
8x3=
8x4=
8x5=
8x6=
8x7=
8x8=
8x9=
8x10=
8x11=
8x12=
8x13=
8x14=
8x15=
8x1=8
8x2=16
8x3=24
8x4=32
8x5=40
8x6=48
8x7=56
8x8=64
8x9=72
8x10=80
8x11=88
8x12=96
8x13=104
8x14=112
8x15=120
9x1=
9x2=
9x3=
9x4=
9x5=
9x6=
9x7=
9x8=
9x9=
9x10=
9x11=
9x12=
9x13=
9x14=
9x15=
9x1=9
9x2=18
9x3=27
9x4=36
9x5=45
9x6=54
9x7=63
9x8=72
9x9=81
9x10=90
9x11=99
9x12=108
9x13=117
9x14=126
9x15=135
11x1=
11x2=
11x3=
11x4=
11x5=
11x6=
11x7=
11x8=
11x9=
11x10=
11x11=
11x12=
11x13=
11x14=
11x15=
11x1=11
11x2=22
11x3=33
11x4=44
11x5=55
11x6=66
11x7=77
11x8=88
11x9=99
11x10=110
11x11=121
11x12=132
11x13=143
11x14=154
11x15=165
12x1=
12x2=
12x3=
12x4=
12x5=
12x6=
12x7=
12x8=
12x9=
12x10=
12x11=
12x12=
12x13=
12x14=
12x15=
12x1=12
12x2=24
12x3=36
12x4=48
12x5=60
12x6=72
12x7=84
12x8=96
12x9=108
12x10=120
12x11=132
12x12=144
12x13=156
12x14=168
12x15=180
13x1=
13x2=
13x3=
13x4=
13x5=
13x6=
13x7=
13x8=
13x9=
13x10=
13x11=
13x12=
13x13=
13x14=
13x15=
13x1=13
13x2=26
13x3=39
13x4=52
13x5=65
13x6=78
13x7=91
13x8=104
13x9=117
13x10=130
13x11=143
13x12=156
13x13=169
13x14=182
13x15=195
14x1=
14x2=
14x3=
14x4=
14x5=
14x6=
14x7=
14x8=
14x9=
14x10=
14x11=
14x12=
14x13=
14x14=
14x15=
14x1=14
14x2=28
14x3=42
14x4=56
14x5=70
14x6=84
14x7=98
14x8=112
14x9=126
14x10=140
14x11=154
14x12=168
14x13=182
14x14=196
14x15=210
15x1=
15x2=
15x3=
15x4=
15x5=
15x6=
15x7=
15x8=
15x9=
15x10=
15x11=
15x12=
15x13=
15x14=
15x15=
15x1=15
15x2=30
15x3=45
15x4=60
15x5=75
15x6=90
15x7=105
15x8=120
15x9=135
15x10=150
15x11=165
15x12=180
15x13=195
15x14=210
15x15=225
12=
22=
32=
42=
52=
62=
72=
82=
92=
102=
112=
122=
132=
142=
152=
162=
172=
182=
192=
202=
212=
222=
232=
242=
252=
12=1
22=4
32=9
42=16
52=25
62=36
72=49
82=64
92=81
102=100
112=121
122=144
132=169
142=196
152=225
162=256
172=289
182=324
192=361
202=400
212=441
222=484
232=529
242=576
252=625
13=
23=
33=
43=
53=
63=
73=
83=
93=
103=
113=
123=
133=
143=
153=
13=1
23=9
33=27
43=64
53=125
63=216
73=343
83=512
93=729
103=1000
113=1331
123=1728
133=2197
143=2744
153=3375
square root of 2 approx =
square root of 3 approx =
square root of 5 approx =
square root of 2 approx = 1.4
square root of 3 approx = 1.7
square root of 5 approx = 2.2
List all 25 primes under 100.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
Is 1 a prime number?
No, The definition of a prime number is a positive integer that has exactly two positive divisors. However, 1 only has one positive divisor (1 itself), so it is not prime.
2
3
4
5
6
9
10
25
2 - A number is divisible by 2 if it is even
3- A number is divisible by 3 if the sum of the digits is divisible by 3
4- A number is divisible by 4 if the number formed by the last 2 digits is divisble by 4
5-A number is divisible by 5 if it ends in 0 or 5
6-A number is divisible by 6 if the number is even AND divisible by 3
9- A number is divisible by 9 if the sum of its digits are divisible by 9
10- A number is divisible by 10 if it ends in 0
25- A number is divisible by 25 if it ends in 00, 25,50, 75
25
(ax+ay) =
(ax)y=
ax/ay=
a-x=
a0=
yroot|ax=
10x =
(ax+ay) = ax+y
(ax)y=a(x)(y)
ax/ay= a(x-y)
a-x= 1/ax
a0= 1 (the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all , which is the multiplicative identity, 1.)
yroot|ax= ax/y
10x = 10 followed by the number of 0’s that is the exponent
- The difference of squares: (a-b)(a+b)=
- The square of a sum: (a+b)2=
- The square of a difference: (a-b)2=
- The difference of squares: (a-b)(a+b)= a2-b2
- The square of a sum: (a+b)2= a2+2ab+b2
- The square of a difference: (a-b)2= a2-2ab+b2
If you multiply or divide by a negative when solving an inequality, what do you do?
Flip the sign
6 smallest non-negative even #s:
6 smallest non-negative even #s: 0, 2, 4, 6, 8, 10
Why is 0 an even non-negative?
6 smallest non-negative odd numbers:
6 smallest non-negative odd numbers: 1, 3, 5, 7, 9 ,11
6 smallest non-negative multiples of 3:
6 smallest non-negative multiples of 3: 0, 3, 6, 9, 12, 15
What is 0 a multiple of 3?
The remainder of 5 ÷2 is?
- If you take an odd number and divide by 2, the remainder is always 1.
