Sure, let's fill in the blanks step-by-step according to the numerical results provided.
1. Fill in the blanks.
(a) [tex]\(6 \times 17 = 6 \times ( \quad 10 \quad +7) = 6 \times \quad 10 \quad + 6 \times 7 = \quad 102 \)[/tex]
(b) [tex]\(\quad 107 \quad \times 8 = (100 + 7) \times 8 = \quad 100 \quad \times 8 + \quad 7 \quad \times 8 = \quad 856 \)[/tex]
(c) [tex]\(\quad 0 \quad \times 856 = 0\)[/tex]
(d)
[tex]\(
\begin{array}{rl}
\quad 0 \quad & \times 8 = - \\
\quad 1 \quad & \times 938 = 938
\end{array}
\)[/tex]
So, here are the answers filled into the blanks:
1. Fill in the blanks.
(a) [tex]\(6 \times 17 = 6 \times ( \quad 10 \quad +7) = 6 \times \quad 10 \quad + 6 \times 7 = \quad 102 \)[/tex]
(b) [tex]\(\quad 107 \quad \times 8 = (100 + 7) \times 8 = \quad 100 \quad \times 8 + \quad 7 \quad \times 8 = \quad 856 \)[/tex]
(c) [tex]\(\quad 0 \quad \times 856 = 0\)[/tex]
(d)
[tex]\(
\begin{array}{rl}
\quad 0 \quad & \times 8 = - \\
\quad 1 \quad & \times 938 = 938
\end{array}
\)[/tex]