Question

If \[ 34 + 4 = 43\] \[ 34 \times 4 = ?\]

Answer 1

base 5

Answer 2

What are these numbers? base 5.. base 12... base 10?

Answer 3

Base 5 is like 1,2,3,4,5,10

Answer 4

We use 0-9 digits normally it's base 10
if a number system has digits from 0-3 only, it's base 4
0, 1, 2, 3, 10

Answer 5

@ParthKohli base 5 will have digits from 0-4
so
0, 1, 2, 3, 4, 10

Answer 6

34 x 4 = 34 + 34 + 34 + 34 base 5?

Answer 7

How do we calculate \(34\) in base 5?

Answer 8

yeah:)
to easily do this, let's convert the number into base 10. Multiply it and then convert back to base 5

Answer 9

How can we convert?

Answer 10

If we have 25
it's actually
\[25=5\times 10^0+2\times 10^1\]
Isn't it?

Answer 11

Yeah! :)

Answer 12

34 in base 10
\[34=4*5^0+3*5^1\]
what will you get?

Answer 13

So \(34 = 4 \times 5^{0} \times 3 \times 5^{1}\)?

Answer 14

Oops. I meant a + in between.

Answer 15

4 + 15 = 19

Answer 16

4 will be 4

Answer 17

so
\[19*4=??\]

Answer 18

\(19 \times 4 = 76\)

Answer 19

\(76 = 7 \times 10^1 + 6 \times 10^0\)

Answer 20

now we have to convert into base 5
divide 76 by 5
15
______________________
5|76
75
first division result in quotient of 15 and remainder 1, so 1 is your first digit
Now divide 15 by 5 and then tell me the remainder

Answer 21

0 is the remainder.

Answer 22

I get 301. Is that correct?

Answer 23

Correct:D

Answer 24

What? I just guessed it :P

Answer 25

another way is you can do it directly in base 5 without converting

Answer 26

you got remainder 1
then 0
and then 3
so it's 301

Answer 27

\[\large{(10a+b)+b=10b+a}\]
\[\large{10a+2b=10b+a}\]
\[\large{9a=8b}\]
\[\large{a=\frac{8b}{9}}\]

\[\large{(10a+b)*b=10ab+b^2=10(\frac{8b}{9})+b^2=\frac{80b+9b^2}{9}}\]

b = 4:
\[\large{\frac{320+144}{9}=\frac{464}{9}}\]

Answer 28

:d is that correct way @ash2326 ?

Answer 29

How do you get 3? I just guessed it.

Answer 30

as @rsadhvika indicated, you can also multiply directly in base 5

Answer 31

How to do so?

Answer 32

when you divided by 15
you got 3 as quotient and remainder 0
next step is to divide 3 by 5 and then find the remainder

Answer 33

let me show you...

Answer 34

\[3*5^2+0*5^1+1*5^0=76\]