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# Exponents and Order of Operations

Directions: Find 3 positive integers that add up to 10. Place each number into one of the blanks to find the largest possible result. ### Hint

Which part of the expression should be simplified first?
Which of the three boxes should get the largest number?

1 * 4^5

### Extensions

There are many extensions with the exact same prompt:
1. What’s the smallest possible result?
2. What if you’re working with all integers greater than (-5)?
3. How close can you get to 0 without hitting it exactly?

Source: Zack Miller (@zmill415)

## Minimize Slope

Directions: Given the point (3,5), use digits 1-9, at most one time, to find a …

1. (2×3)^5 results in a larger number than (1×4)^5

2. Oops, didn’t see the comment thread above. The order of operations says we do the exponents first, so:
2 x 3^5 < 1 * 4^5

3. is it right or wrong so which one is bigger?

4. I don’t get it there is no number to work with it , weirdo is out