# Find the product of the given number by suitable rearrangement.

$125 \times 40 \times 8 \times 25$

Answer

Verified

363k+ views

Hint: For solving such type of questions, it will be easier if somehow we make a pair whose product will be multiple of \[10,100,1000, - - - \] OR we can start with multiplying two terms which gives \[0\] which simplifies further calculations.

Given that $125 \times 40 \times 8 \times 25$

First we will make the pair and proceed further

\[

= 125 \times 40 \times 8 \times 25 \\

= \left( {125 \times 8} \right) \times \left( {40 \times 25} \right) \\

\]

Now simplifying the terms inside each bracket by breaking in parts

\[

= \left( {125 \times \left( {4 \times 2} \right)} \right) \times \left( {\left( {10 \times 4} \right) \times 25} \right)\left[ {\because 8 = 4 \times 2\& 40 = 10 \times 4} \right] \\

= \left( {\left( {125 \times 4} \right) \times 2} \right) \times \left( {10 \times \left( {4 \times 25} \right)} \right)\left[ {\because \left( {a \times b} \right) \times c = a \times \left( {b \times c} \right)} \right] \\

= \left( {\left( {500} \right) \times 2} \right) \times \left( {10 \times \left( {100} \right)} \right) \\

= \left( {1000} \right) \times \left( {1000} \right) \\

= 1000000 \\

\]

Hence, the product of the given number is $1000000$

Note: The following question can also be solved by continuous multiplication of each number step by step. But that process will take a lot of time and will be difficult. In order to solve such types of questions containing large calculations, always try to make some pair in order to fetch some numbers in the multiple of 10. That makes the calculation easier.

Given that $125 \times 40 \times 8 \times 25$

First we will make the pair and proceed further

\[

= 125 \times 40 \times 8 \times 25 \\

= \left( {125 \times 8} \right) \times \left( {40 \times 25} \right) \\

\]

Now simplifying the terms inside each bracket by breaking in parts

\[

= \left( {125 \times \left( {4 \times 2} \right)} \right) \times \left( {\left( {10 \times 4} \right) \times 25} \right)\left[ {\because 8 = 4 \times 2\& 40 = 10 \times 4} \right] \\

= \left( {\left( {125 \times 4} \right) \times 2} \right) \times \left( {10 \times \left( {4 \times 25} \right)} \right)\left[ {\because \left( {a \times b} \right) \times c = a \times \left( {b \times c} \right)} \right] \\

= \left( {\left( {500} \right) \times 2} \right) \times \left( {10 \times \left( {100} \right)} \right) \\

= \left( {1000} \right) \times \left( {1000} \right) \\

= 1000000 \\

\]

Hence, the product of the given number is $1000000$

Note: The following question can also be solved by continuous multiplication of each number step by step. But that process will take a lot of time and will be difficult. In order to solve such types of questions containing large calculations, always try to make some pair in order to fetch some numbers in the multiple of 10. That makes the calculation easier.

Last updated date: 27th Sep 2023

â€¢

Total views: 363k

â€¢

Views today: 9.63k

Recently Updated Pages

What do you mean by public facilities

Paragraph on Friendship

Slogan on Noise Pollution

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

10 Slogans on Save the Tiger

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Summary of the poem Where the Mind is Without Fear class 8 english CBSE

Difference Between Plant Cell and Animal Cell

What is the basic unit of classification class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

One cusec is equal to how many liters class 8 maths CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Give 10 examples for herbs , shrubs , climbers , creepers