(6×5) + (6×2) = 6×7
It works if you think about it like this:
5 sixes + 2 sixes = (5 + 2) sixes = 7 sixes
This is an example of the <em>distributive property</em>.
To put it simply, we're applying the same multiplication (×6) to two different things which are being added together (5+2).
Here's another example of the distributive property:
2×(3+4) = 2×3 + 2×4
The last one, D because it is x+2, which is -2
Least to greatest: 7/12, 0.75, 5/6
Explanation:
Leave 7/12.
5/6 is equivalent to 10/12 if you multiply the numerator and denominator by 2.
0.75 is equal to 75/100, which is equal to 3/4 if you divide numerator and denominator by 25. 3/4 is equal to 9/12 if you multiply by 3.
You can look at the three numbers as 7/12, 10/12, and 9/12.
It is an arithmetic sequence with each number 90 more than the previous number so the next number is 630