Question

Explain how you could use the distributive property and mental math to find. 5 x 198

Answer 1

Not much of an expert... Pretty sure it's something like this...

(5x100) + (5x90) + (5x8)

Then you solve the brackets...

500 + 450 +40

Then you add it all together...

=990

Answer 2

Distributive property states that:

a(b+c) = ab + bc

Therefore, to solve 5*198 using mental Math, we would need to break the 198 into simpler values and use distributive property to get the solution

198 can be written as 100 + 90 + 8

We can rewrite this as 100 + 10(9) + 8

Now, for the given expression:

5 * 198 = 5 (100 + 10(9) + 8)

We apply the distributive property as follows:

5(100) + 5(10)(9) + 5(8)

500 + 45(10) + 40

500 + 450 + 40

Now, we can simply do the addition giving us 990

Hope this helps :)