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# Find the value of the product by suitable rearrangement. A) $125 \times 40 \times 8 \times 25$ B) $285 \times 5 \times 60$

Last updated date: 18th Mar 2023
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Hint: In order to find the product, we have to use the basic property of rearrangement which involves trying your best to get the multiples of 5 and 10 because we are all aware of the ease of solving questions with the multiples of these numbers especially 10. This basic property will help you a lot in other questions too which involves bigger multiplications so it is suggested to always get the multiples of 5 and 10 to make the task easier and give suitable one suitable time. One should also know that the multiples of 10 are better to deal with in bigger calculations so always try your best to go for them.

Since, $25 \times 4$= 100 ends with 0 and,
$125 \times 8 = 1000$ also ends with 0
$= {\text{ }}\left( {125 \times 8} \right) \times \left( {40 \times 25} \right) \\ = {\text{ }}\left( {125 \times 8} \right) \times \left( {4 \times 10 \times 25} \right) \\ = {\text{ }}\left( {125 \times 8} \right) \times \left( {4 \times 25 \times 10} \right) \\ = {\text{ 1000}} \times \left( {100 \times 10} \right) \\ = {\text{ 1000}} \times {\text{1000}} \\ {\text{ = 1000000}} \\ \\$
$\therefore$ The solution is 1000000
(b) For the rearrangement of $285 \times 5 \times 60$ the solution will be-
$= {\text{ 285}} \times {\text{300}} \\ = {\text{ 285}} \times {\text{100}} \times {\text{3}} \\ {\text{ = 285}} \times {\text{3}} \times {\text{100}} \\ {\text{ = 855}} \times {\text{100}} \\ {\text{ = 85500}} \\$
$\therefore$ The solution is 85500