We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
159
2
avatar

The base-10 numbers 217 and 45 are multiplied. The product is then written in base-6. What is the units digit of the base-6 representation?

 Jan 6, 2019
 #1
avatar+5797 
+2

217=216+1 = (36)6 + 1

45 = 42+3 = (7)6 + 3

217 x 45 = (216+1)(42+3) = (216)(42)+(216)(3)+42+3 mod 6 = 3

 

3 is the units digit of 217d x 45d written in base 6

 Jan 6, 2019
 #2
avatar+103138 
+1

Here's another way

217 * 45 =  9765

 

9765 = 1627 (6) R 3

 

3 is the units digit

 

 

cool cool cool

 Jan 6, 2019

11 Online Users

avatar