Question

Find the product, using suitable properties.
 $ 15 \times ( - 25) \times ( - 4) \times ( - 10) $

Answer 1

Hint: First of all we will find make the given terms and make the terms in tens, hundreds or thousands to make it more easy and then find the product of the terms and finding the product of paired term and then will find product of the two products and then simplify for the resultant required value.

Complete step-by-step answer:
Let us take the given expression: $ 15 \times ( - 25) \times ( - 4) \times ( - 10) $
Make the pair of the last two terms.
 $ = 15 \times ( - 25) \times \underline {( - 4) \times ( - 10)} $
Find the product of the terms, when you find the product between negative and the positive term the resultant value is in negative and when you find the product of two negative terms the resultant value is in positive.
 $ = 15 \times \underline {( - 25) \times 40} $
Similarly, find the product of the terms in the above expression –
 $ = 15 \times ( - 1000) $
Find the product of the terms in the above expression –
 $ = - 15000 $
Thus, $ 15 \times ( - 25) \times ( - 4) \times ( - 10) = ( - 15000) $
Hence, this is the required solution.
So, the correct answer is “-15000”.

Note: Be careful about the sign convention while finding the product of the terms. While finding the product of two same signs then the resultant value is in positive while the product of two different signs gives the resultant value in negative.