Final answer:
The magnification of the image of the ant that Nathan is observing through the digital microscope is calculated to be 11x, determined by dividing the image length (22mm) by the actual length of the ant (2mm).
Step-by-step explanation:
To calculate the magnification of an image Nathan is observing through a digital microscope, we can use the simple ratio of the length of the image to the actual length of the object. According to the question, the image length is 22mm, and the ant's actual length is 2mm. So the magnification (m) can be calculated using the formula:
m = image length (mm) / actual length (mm)
Plugging in the values we get:
m = 22mm / 2mm
m = 11
Therefore, the magnification of the image that Nathan is observing is 11x.