Question

problems 8-11: complete each blank using the symbols >, <, or =.8. $-\frac{3}{4}$ ____ $\frac{4}{3}$9. $3.24$ __ $-(-3.24)$10. $-\frac{2}{3}$ __ $-\frac{5}{6}$11. $-|4|$ ____ $-|-4|$

Explanation:

Step1: Compare negative and positive fraction

Negative numbers < positive numbers.
$-\frac{3}{4} < \frac{4}{3}$

Step2: Compare decimal and simplified value

Simplify $-(-3.24)=3.24$.
$3.24 = 3.24$

Step3: Compare two negative fractions

Convert to common denominator: $-\frac{2}{3}=-\frac{4}{6}$.
$-\frac{4}{6} > -\frac{5}{6}$

Step4: Compare absolute value expressions

Simplify: $-|4|=-4$, $-|-4|=-4$.
$-4 = -4$

Answer:

1. $<$
2. $=$
3. $>$
4. $=$