Question

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

Answer 1

`11* 47=517`

Explanation:

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

Solution :

Expression
`11* 47`

We can write 11 as 10+1

So,
`(10+1)* 47`

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

`(10+1)* 47=47* 10+47* 1`

`11* 47=470+47`

`11* 47=517`

Therefore,
`11* 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