If we want to use mental math to find a product, dividing the product into a sum of smaller products can be useful. This would using the distributive property. Let's try it!
Now we can use mental math to find each product. Let's start with the product of 4 times 2.
4* 2 = 8
To multiply 4 by 20, we can start by multiplying 4 by 2. Then, we add a 0 to the right of the resulting number.
4* 2 = 8
⇓
4* 2 0 = 8 0
Similarly, to multiply 6 by 100, we multiply 4 by 1. Then, we add 00 at the end of the resulting number. Let's do it!
4* 1 = 4 ⇓
4* 1 00 = 4 00
Finally, we can add the numbers to find the product!
8 + 80 + 400 = 488
We have found the product. Good job!
