Question

Solve 35x98
using distributive property and explain it also

Answer 1

$\underline{\pink{Distributive \: Property : }}$

$\boxed{\blue{ a(b+c) = a \times b + a \times c }}$

$Here, 35 \times 98 \\= 35 ( 100 - 2 ) \\= 35 \times 100 - 35 \times 2 \\= 3500 - 70 \\= 3430$

Therefore.,

$\red{ 35 \times 98}\green { = 3430}$

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Answer 2

$\bf \: \: distributive \: property$

Distributive property is a property of multiplication that distribute the number to another number.

$\star {Types \: of \: distributive \: property} \star$

$\small \fbox {Distributive \: property \: over \: addition}$

It is the property of multiplication that gives addition to another number.

$\small \fbox {Distributive \: property \: over \: subtraction}$

It is the property of multiplication that gives subtraction to another number.

Here we will use distributive property over subtraction.

$\longrightarrow \: (35 \times 100) - (35 \times 2)$

$\longrightarrow \: 3500 - 70$

$\longrightarrow \: 3430$