Solution: Page 247 (Comparing Integers)

1. Fill in the boxes with < or >

• a. -2 [ ] +5 $\rightarrow$ $-2 < +5$ (Negative is less than positive)
• b. -5 [ ] +4 $\rightarrow$ $-5 < +4$
• c. -5 [ ] -3 $\rightarrow$ $-5 < -3$ (-5 is lower down/more left than -3)
• d. +6 [ ] -6 $\rightarrow$ $+6 > -6$
• e. 0 [ ] -4 $\rightarrow$ $0 > -4$ (0 is above any negative)
• f. 0 [ ] +4 $\rightarrow$ $0 < +4$

2. Compare larger numbers

• a. -10 [ ] -12 $\rightarrow$ $-10 > -12$ (10 debt is better than 12 debt)
• b. +17 [ ] -10 $\rightarrow$ $+17 > -10$
• c. 0 [ ] -20 $\rightarrow$ $0 > -20$
• d. +9 [ ] -9 $\rightarrow$ $+9 > -9$
• e. -25 [ ] -7 $\rightarrow$ $-25 < -7$
• f. +15 [ ] -17 $\rightarrow$ $+15 > -17$

3. Finding Floors on the Line

Given: $A = -12$, $D = -1$, $E = +1$. Looking at the vertical line pattern, the tick marks seem to represent integer steps.

• If $D$ is $-1$ and $E$ is $+1$, there is a gap of 2 units. The mark between them must be $0$.
• F: One step above $E(+1) \rightarrow +2$.
• G: Four steps above $F(+2) \rightarrow +6$.
• H: Five steps above $G(+6) \rightarrow +11$.
• C: Five steps below $D(-1) \rightarrow -6$.
• B: Three steps below $C(-6) \rightarrow -9$.

Values estimated based on counting tick marks in the diagram.