Question

Cindy separated her fruit flies into equal groups. She estimates that there are 2 to the 10th power fruit flies in each of 2 to the 2nd power jars. How many does Cindy have in all?

a. 4,096
b. 512
c. 2,048
d. 2,000

Answer 1

To find the total number of fruit flies across all jars, it is necessary to multiply the number of flies per jar (2^10, or 1024) by the number of jars (2^2, or 4), which results in a total of 4096 fruit flies.

Step-by-step explanation:

Cindy separated her fruit flies into equal groups. If there are 2 to the 10th power fruit flies in each of 2 to the 2nd power jars, we need to find the total number of fruit flies Cindy has in all her jars. To find this total, we should multiply the number of fruit flies per jar by the number of jars.

The calculation goes like this:

1. 2 to the 10th power represents the number of flies in one jar. This is equal to 210 = 1024 flies.
2. 2 to the 2nd power represents the total number of jars. So, this is 22 = 4 jars.
3. Multiply the number of flies in one jar by the number of jars to find the total: 1024 flies/jar × 4 jars = 4096 flies in total.

Therefore, the answer to the question is 4,096 fruit flies in all.