Number Comparison B4Cb97

1. **State the problem:** We need to compare each pair of numbers and determine the correct comparison symbol: $<$, $>$, or $=$. 2. **Recall the rule:** For any two numbers $a$ and $b$: - If $a$ is to the left of $b$ on the number line, then $a < b$. - If $a$ is to the right of $b$ on the number line, then $a > b$. - If $a$ and $b$ are the same number, then $a = b$. 3. **Compare each pair:** - $-80$ and $58$: Since $-80$ is negative and $58$ is positive, $-80 < 58$. - $-79$ and $-10$: Both negative, but $-79$ is less than $-10$ because it is further left on the number line, so $-79 < -10$. - $-58$ and $0$: Negative vs zero, $-58 < 0$. - $-8144$ and $-8145$: Both negative, $-8144$ is greater than $-8145$ because it is closer to zero, so $-8144 > -8145$. - $-8.43$ and $-8.430$: These are equal because $-8.43 = -8.430$ (trailing zeros do not change value), so $-8.43 = -8.430$. - $78$ and $-78$: Positive vs negative, $78 > -78$. - $-2.6$ and $-2.06$: Both negative, $-2.6 < -2.06$ because $-2.6$ is further left. - $-3$ and $-\frac{3}{5}$: Convert $-\frac{3}{5} = -0.6$, so $-3 < -0.6$, thus $-3 < -\frac{3}{5}$. 4. **Final answers:** - $-80 < 58$ - $-79 < -10$ - $-58 < 0$ - $-8144 > -8145$ - $-8.43 = -8.430$ - $78 > -78$ - $-2.6 < -2.06$ - $-3 < -\frac{3}{5}$