Answer
given below.
Work Step by Step
(a)
The expression of \[3367\times 3,\ 3367\times 6,\ 3367\times 9\], and \[3367\times 12\].
Solve this expression by using a calculator:
\[\begin{align}
& 3367\times 3=10101 \\
& 3367\times 6=20202 \\
& 3367\times 9=30303 \\
& 3367\times 12=40404
\end{align}\]
(b)
In the expression, the first multiplier is always 3367 and the second multiplier is a successive multiple of 3. Then, these products are 10101, 20202, 30303, 40404.
The pattern in the products is that the first answer is \[10101\times 1=10101\], second is \[10101\times 2=20202\],and so on.
Therefore, theexpression of the value is\[3367\times 3=10101\], \[3367\times 6=20202\], \[3367\times 9=30303\], and\[3367\times 12=40404\].
(c)
The expression of \[3367\times 3,3367\times 6,3367\times 9\], and \[3367\times 12\].
Solve these two-next multiplication and product expression by usinga calculator:
\[\begin{align}
& 3367\times 3=10101 \\
& 3367\times 6=20202 \\
& 3367\times 9=30303 \\
& 3367\times 12=40404
\end{align}\]
That is,
\[3367\times 15=50505\]
\[3367\times 18=60606\]
Verify this result:
\[3367\times 15=50505\]
\[10101\times 5=50505\]
And,
\[\begin{align}
& 3367\times 18=60606 \\
& 10101\times 6=60606
\end{align}\]
Thus, theseresultsare correct and verified.
(d)
The expression of \[3367\times 3,\ 3367\times 6,\ 3367\times 9\], and \[3367\times 12\].
Solve this expression by using a calculator:
\[\begin{align}
& 3367\times 3=10101 \\
& 3367\times 6=20202 \\
& 3367\times 9=30303 \\
& 3367\times 12=40404
\end{align}\]
This is an inductive reasoning, it uses an observed pattern and draws a conclusion from that pattern. In the expression, the first multiplier is always 3367 and the second multiplier isa successive multiple of 3. Then, these products are 10101, 20202, 30303, 40404.
