[tex]\:\:\:\:\:\:\:\:\:\:[/tex] We can solve this questionusing commutativeproperty;
[tex]\:\:\:\:\:\:\:\:\:\:[/tex] Commutative Propertyis the rearrangementof numbers So that the multiplicationof the terms could be easier,without any change in the product.
We use distributive property that is : -
[tex]\color{Red}\boxed{a × b × c= a
× c × b }[/tex]
Here ,we have rearrangedthe terms b and c
Because,if see the term a that is 4and term c that is 5,
[tex]\:\:\:\:\:\:\:\:\:\:[/tex] The product of 4 and 5 gives us 20 , here we changed this term in a number having zero , So that multiplication could be easier to do.
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Verified answer
Answer:
20^396=7920 o question
[tex]\star\;{\underline{\boxed{\pmb{\purple{\frak{\; Question\:1\; : -}}}}}}[/tex]
[tex] \\ \\ [/tex]
[tex]\large\underline\color{green}{\sf{Given\: : - }}[/tex]
[tex]\:\:\:\:\:\:\:\:\:\:[/tex] 4 × 2396 × 5
[tex]\large\underline\color{green}{\sf{To\:Find\: : - }}[/tex]Value of 4 × 2396 × 5 using suitable property
[tex]\large\underline\color{green}{\sf{Solution\: : - }}[/tex]
[tex]\:\:\:\:\:\:\:\:\:\:[/tex] We can solve this question using commutative property ;
[tex]\:\:\:\:\:\:\:\:\:\:[/tex] Commutative Property is the rearrangement of numbers So that the multiplication of the terms could be easier , without any change in the product.
We use distributive property that is : -
[tex]\color{Red}\boxed{a × b × c= a
× c × b }[/tex]
Here , we have rearranged the terms b and c
Because, if see the term a that is 4 and term c that is 5 ,
[tex]\:\:\:\:\:\:\:\:\:\:[/tex] The product of 4 and 5 gives us 20 , here we changed this term in a number having zero , So that multiplication could be easier to do.
[tex]\:\:\:\:\:\:\:\:\:\:[/tex] [tex]\rightarrow[/tex] 4 × 2396 × 5
[tex]\:\:\:\:\:\:\:\:\:\:[/tex][tex]\rightarrow[/tex] 20 × 2296
[tex]\:\:\:\:\:\:\:\:\:\:[/tex] [tex]\rightarrow[/tex]47,920
[tex]\:\:\:\:\:\:\:\:\:\:[/tex][tex]\color{black}\boxed{Final\:Answer\:=\: 47,920}[/tex]
Hence, the value of 4 × 2396 × 5 is 47,920