Question

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. $$-1 \frac{1}{3} \text { and }-1.75$$

Short answer

-1.33 or -1 1/3 is greater than -1.75, the two inequalities are -1.33 > -1.75 and -1.75 < -1.33

Step-by-step solution

Convert the Mixed Fraction to Decimal

Convert \(-1 \frac{1}{3}\) into decimal form. This can be done by diving 1 by 3 to get \(0.333\) and then subtracting this from -1 to get \(-1.33\).

Plot on the Number Line

Plot \(-1.33\) and \(-1.75\) on a number line. \(-1.75\) will be less than \(-1.33\) on the number line since it's further to the left.

Write Inequalities

Now it's time to write the two inequalities, based on the positions of both numbers on the number line: \(-1.33 > -1.75\) and \(-1.75 < -1.33\)