Question

find the product using distributive property
1009*1392​

Answer 1

Given that,

Two numbers i.e. 1009 and 1392

To find,

The product of 1009 × 1392 using the distributive property.

Solution,

We can write 1009 as 1000 + 9

So,

1009 × 1392 = (1000+9) × 1392

Distributive property : $a(b+c)=ab+ac$

We have, a = 1392, b = 1000, c = 9

$(1000+9) \times 1392=1000\times 1392+9\times 1392\\\\=1392000+12528\\\\=1404528$

So, the product of 1009 and 1392 is 1404528.

Answer 2

Answer:

Given that,

Two numbers i.e. 1009 and 1392

To find,

The product of 1009 × 1392 using the distributive property.

Solution,

We can write 1009 as 1000 + 9

So,

1009 × 1392 = (1000+9) × 1392

Distributive property : a(b+c)=ab+aca(b+c)=ab+ac

We have, a = 1392, b = 1000, c = 9

\begin{gathered}(1000+9) \times 1392=1000\times 1392+9\times 1392\\\\=1392000+12528\\\\=1404528\end{gathered}

(1000+9)×1392=1000×1392+9×1392

=1392000+12528

=1404528

So, the product of 1009 and 1392 is 1404528.