Question

Find the product by suitable rearrangement: \[2 \times 1768 \times 50\].

Answer 1

Hint: First of all, rearrange the product of terms such that we can multiply them easily so that we can multiply further terms easily without any complex calculations. So, use this concept to reach the solution of the given problems.

Complete step-by-step answer:
Given \[2 \times 1768 \times 50\]
If we multiply \[2 \times 50\] we get 100, which ends with zero. So, we multiply them first
\[   \Rightarrow 2 \times 1768 \times 50 = \left( {2 \times 50} \right) \times 1768 \]
\[   \Rightarrow 2 \times 1768 \times 50 = 100 \times 1768 \]
Now, multiply \[1768 \times 100\] to get 176800
\[   \Rightarrow 2 \times 1768 \times 50 = 1768 \times 100 \]
\[  \therefore 2 \times 1768 \times 50 = 176800 \]
Thus, the product of \[2 \times 1768 \times 50\] is $176800$.

Note: We have to first multiply the terms which give us a greater number of zeros. The Product by suitable rearrangement method helps us to find the product of the terms within no time.