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 require that we use the distributive property. Let's try it!
We need to find each of the smaller products and then add them. Let's start with the product of 2 times 64. Again, we can divide this product into smaller products. Let's use the Distributive Property again.
Now we can start finding the products mentally. First, let's start with the product of 2 times 4.
2* 4 = 8
To multiply 2 by 60, we can start by multiplying 2 by 6. Then, we add a 0 to the right of the resulting number.
2* 6 = 12
⇓
2* 6 0 = 12 0
Now the product of 2 times 64 is the sum of the products we found!
2*64 = 8 + 120
⇓
2*64 = 128
Now we need the product of 10 times 64. The good news is that we can multiply any number by 10 by adding a 0 to the right of the original number!
1 0*64 = 64 0
Finally we can add the products of 10 by 64 and 2 times 64 to obtain the result of 12 times 64. Let's do it!
12*64 = 128 + 640
⇓
12*64 = 768
We have found the product. Good job!
