Question

Write 11 times 47 using the distributive property. Then simplify.

Answer 1

Answer:

$11\times 47=517$

Step-by-step explanation:

To find : Write 11 times 47 using the distributive property then simplify?

Solution :

Expression $11\times 47$

We can write 11 as 10+1

So,  $(10+1)\times 47$

Applying distributive property, $a(b+c)=ab+ac$

$(10+1)\times 47=47\times 10+47\times 1$

$11\times 47=470+47$

$11\times 47=517$

Therefore, $11\times 47=517$

Answer 2

Distributive property is in the form of:

a (b+c) = ab + bc

In this case, we try writing 47 as:

47 = 50-3  or 47 = 40+7

 

Therefore:

11 x 47 = 11 x (50-3) = 11 x 50 - 11 x 3 = 550 - 33 =  517

or 

11 x 47 =  11 x (40+7) = 11 x 40 + 11 x 7 = 440 + 77 = 517