Question

I need help with number 9!

Answer 1

9. √105 is irrational (105 is not the square of an integer) Its value is near +10.

-4 is an integer (and rational)

4/3 is a rational number

Smallest to largest, these are -4, 4/3, √105.

10. The nearest square less than 14 is 9 = 3×3. The nearest square greater than 14 is 16 = 4×4. 14 is closer to 16 than to 9, so we expect 4 to be the integer closest to its square root. (√14 ≈ 3.74, closer to 4 than to 3.)

11. The numbers are in the same order; only the location of parentheses has changed. The property that lets you do that with addition is the associative property.