Final answer:
To find the greatest number out of .22, -0.7, -1.3, and -(4)/(3), compare their absolute values. -(4)/(3) is the greatest.
Step-by-step explanation:
To find the greatest number out of .22, -0.7, -1.3, and -(4)/(3), we can compare the absolute values of these numbers. The absolute value of a number is its distance from zero on the number line. So, we can ignore the signs and compare the magnitudes.
- The absolute value of .22 is .22.
- The absolute value of -0.7 is 0.7.
- The absolute value of -1.3 is 1.3.
- The absolute value of -(4)/(3) is 4/(3).
Therefore, out of the given numbers, -(4)/(3) is the greatest.