45÷r
Divide the number by the new base (7 in this case) to give a quotient (result) and remainder.Note the remainderMake the number the quotientIf the quotient is not zero repeat from step 1Write the remainders in reverse order (last found first)That's how I write a decimal number in any other base.This is me doing it for 2365 in to base 7:2365 ÷ 7 = 337 r 6337 ÷ 7 = 48 r 148 ÷ 7 = 6 r 66 ÷ 7 = 0 r 6⇒ 236510 = 66167
That means that the answer has a quotient of 100 and a remainder of 2. For example, 502 ÷ 5 would have that answer.
The expression for 35 multiplied by the quantity ( r - 45 ) can be written as ( 35(r - 45) ). When you distribute 35, it becomes ( 35r - 1575 ). Therefore, the final result is ( 35r - 1575 ).
To convert from any base to another:Divide the number by the new base to get a quotient and a remainder.Note the remainder.If the quotient is zero stop as the remainder is the number in the new base.Divide the quotient by the new base to get a quotient and a remainder.Write the remainder in front of the previous remainder(s).Repeat from step 3.For example, to convert 8510 to octal (base 8):85 / 8 = 10 r 5 (answer so far: 5)10 / 8 = 1 r 2 (answer so far: 25)1 / 8 = 0 r 1 (answer so far: 125)quotient 0, so 8510 = 1258.To convert 8510 to binary:85 / 2 = 42 r 1 (answer so far: 1)42 / 2 = 21 r 0 (answer so far: 01)21 / 2 = 10 r 1 (answer so far: 101)10 / 2 = 5 r 0 (answer so far: 0101)5 / 2 = 2 r 1 (answer so far: 10101)2 / 2 = 1 r 0 (answer so far: 010101)1 / 2 = 0 r 1 (answer so far: 1010101)quotient 0, so 8510 = 10101012.
45÷r
45/r
r/2-8
It is 1 - r/7
Next to the quotient, write R(x). Let x be the remainder number.
1 - r/7 Another way to write the same thing is 7/7-r/7 which is (7-r)/7
. This is same as half of r.
(r + 5)/b
ratio
The answer is 43 r.0
35(r-45)
r + 45 = 79Subtract 45 from each side:r = 34