if the number named by the last three digits is divisible by 8
Ex) 13802120 ---> 120/8 = 15
Back
2⁷
Front
128
Back
2¹⁰
Front
1024
Back
(x²)³
Front
= x²⋅³
Back
(x/y)³
Front
= (x³) / (y³)
Back
2/5
Front
.4 OR 40%
Back
2³
Front
8
Back
3²
Front
9
Back
divisible by 9
Front
if the sum of the digits is divisible by 9
Ex) 3483 ---> 3+4+8+3=18, 18 is divisible by 9
Back
13/16
Front
.8125 OR 81 1/4%
Back
x^(p/r)
Front
= x^(power/root)
Back
x⁰
Front
= 1 (x ≠ 0)
Back
11/16
Front
.6875 OR 68 3/4%
Back
2/3
Front
.6 OR 66 2/3%
Back
1/3
Front
.33 OR 33 1/3%
Back
divisible by 11
Front
if the difference between the sum of the even-place digits and the sum of the odd-place digits is a multiple of 11
Ex) 928,193,926 ---> odd sum (9+8+9+9+6=41) even sum (2+1+3+2=8) ---> 41-8=33, 33 is divisible by 11
Back
1/8
Front
.125 OR 12 1/2%
Back
x^⁻³
Front
= 1 / x³
Back
1/6
Front
.16 OR 16 2/3%
Back
1/2
Front
.5 OR 50%
Back
3/5
Front
.6 OR 60%
Back
2⁵
Front
32
Back
multiplying decimals
Front
count the number of decimal places and add them
Ex) 45.67 x .987 (5 places) = 45.07629 (5 places)
Back
5/8
Front
.625 OR 62 1/2%
Back
divisible by 4
Front
if the number named by the last 2 digits is divisible by 4
Ex) 3936 is divisible by 4 because 36 is divisible by 4
Back
dividing decimals
Front
move the decimal point in the divisor and the dividend the same number of places to get whole numbers
Ex) 23.1 / .004 ----> 23.1 x 1000 / .004 x 1000 ----> 23100/4 ---> 5775
Back
2²
Front
4
Back
1/16
Front
.0625 OR 6 1/4%
Back
(xy)³
Front
= (x³)(y³)
Back
3/16
Front
.1875 OR 18 3/4%
Back
7/8
Front
.875 OR 87 1/2%
Back
4/5
Front
.8 OR 80%
Back
2⁴
Front
16
Back
2⁶
Front
64
Back
9/16
Front
.5625 OR 56 1/4%
Back
1 / x^-m
Front
= x^m
Back
3/8
Front
.375 OR 37 1/2%
Back
(x³) / (x²)
Front
= x³⁻² OR 1 / x²⁻³
Back
(x²)(x³)
Front
= x²⁺³
Back
15/16
Front
93 3/4%
Back
1/5
Front
.2 OR 20%
Back
7/16
Front
.4375 OR 43 3/4%
Back
5/16
Front
.3125 OR 31 1/4%
Back
divisible by 6
Front
if rules for 2 and 3 check out ---- 1) the number is even & 2) the sum of the digits is divisible by 3
Back
2⁸
Front
256
Back
divisible by 3
Front
if the sum of the digits is divisible by 3
Ex) 456 ---> 4+5+6=15, 15 is divisible by 3