Question

Distributive property
Evaluate.
7 x 6 = 5 sixes +
sixes
+ 12
=

Answer 1

5 sixes + 2 sixes

30 + 12

42

Explanation:

7 x 6 is 7 sixes

7 sixes = 5 sixes + 2 sixes (7=5+2)

5 sixes =30 + 2 sixes = 12

30 + 12 = 42

Answer 2

`\(7 * 6\)` is the same as 5 groups of 6 plus 12 more sixes, resulting in the total of 42 sixes.

To evaluate
`\(7 * 6\)`, we can break down the multiplication by representing it as the sum of 5 sixes plus some additional sixes.

Each term in the product
`\(7 * 6\)` can be expressed as 6 + 6 + 6 + 6 + 6 + 6 + 6, which is equivalent to 7 groups of 6. In other words, it's adding six sixes together.

Now, let's express this as the sum of 5 sixes and some additional sixes:

`\[ 7 * 6 = (6 + 6 + 6 + 6 + 6) + (\text{some additional sixes}) \]`

If we group the first five sixes, we get:

`\[ 7 * 6 = 5 * 6 + (\text{some additional sixes}) \]`

Therefore,
`\(7 * 6\)` is equivalent to 5 groups of 6 plus some additional sixes. The answer is 42, as
`\(5 * 6 = 30\).`