Question

find using distributive property of
$824 \times 25$
​

Answer 1

Step-by-step explanation:

824×(20+5)

by distributive property,

a×(b+c)=(a×b) + (a×c)

(824×20) +(824×5)

16480 + 4120

20600

Answer 2

${\large{\overbrace{\underbrace{\purple{your \: answer:20600}}}}} \\ \red{♡}$

$\bf\ Distributive \: property : \\ \\ \bf\ \red{a , b , c } \: \pink{ belongs \: to \: } \red{z } \\ \\ \bf\ \implies: \: a ( b + c ) = a × b + a × c</p><p> \\ \\ \bf\ \underline{Now ,} \\ \\ \bf\ \implies \: 824 × 25 \\ \\ \bf\ \implies \: ( 800 + 24 ) × 25\\ \\ \bf\ \implies \: 800 × 25 + 24 × 25\\ \\ \bf\ \implies \:20000 + ( 20 + 4 ) × 25 \\ \\ \bf\ \implies \: 20000 + 20 × 25 + 4 × 25</p><p>\\ \\ \bf\ \implies \: 20000 + 500 + 100\\ \\ \bf\boxed{ \purple{ \implies \:20600 }}\\ \\ \huge\red{or} \\ \\ \bf\ \implies \: 824 × 25</p><p>\\ \\ \bf\ \implies \:206 × 4 × 25 \\ \\ \bf\ \implies \: 206 × ( 100 )\\ \\ \bf\boxed{ \blue{ \implies \:20600 }} \\ \\ \bf\ { \orange{ \underline{ \overline{ \mid{{Here \: we \: used \: distributive \: property</p><p>}}} \mid}}} \\ \\ \\ \large\boxed{ \fcolorbox{pink}{red}{hope \: it \: help \: you}}$