Property 4
Addition, subtraction, multiplication and division operations on different numbers in the same base can be performed in the same base, without converting them to decimal counting system.
1.
\(\begin{array}{r}(2\ 3\ 5)_{7}\\+\ (5\ 0\ 6)_{7}\\\hline (x)_{7}\end{array}\)
\(\Rightarrow x=?\)
2.
\(\begin{array}{r}(4\ 3\ 2)_{6}\\+\ (5\ 1\ 5)_{6}\\\hline (x)_{6}\end{array}\)
\(\Rightarrow x=?\)
3.
\(\begin{array}{r}(7\ 7\ 7)_{8}\\+\ (1)_{8}\\\hline (x)_{8}\end{array}\)
\(\Rightarrow x=?\)
4.
\(\begin{array}{r}(4\ 1\ 5)_{7}\\-\ (2\ 6\ 2)_{7}\\\hline (x)_{7}\end{array}\)
\(\Rightarrow x=?\)
5.
\(\begin{array}{r}(4\ 2\ 1\ 3)_{6}\\-\ (1\ 0\ 5\ 4)_{6}\\\hline (x)_{6}\end{array}\)
\(\Rightarrow x=?\)
6.
\(\begin{array}{r}(1\ 0\ 0\ 0)_{9}\\-\ (1)_{9}\\\hline (x)_{9}\end{array}\)
\(\Rightarrow x=?\)
7.
\(\begin{array}{r}(4\ 3)_{6}\\\times\ (2\ 5)_{6}\\\hline (x)_{6}\end{array}\)
\(\Rightarrow x=?\)
8.
\(\begin{array}{r}(3\ 2)_{7}\\\times\ (4\ 5)_{7}\\\hline (x)_{7}\end{array}\)
\(\Rightarrow x=?\)
9.
\((24)_{5}+(41)_{6}=(x)_{6}\)
\(\Rightarrow x=?\)
10.
\((42)_{5}+(33)_{5}=(x)_{6}\)
\(\Rightarrow x=?\)
11.
\((40)_{6}-(21)_{4}=(x)_{5}\)
\(\Rightarrow x=?\)
12.
\(\samefrac{(60)_{7}}{(10)_{7}}=(x)_{7}\)
\(\Rightarrow x=?\)