A lab has two bacteria cultures. Culture A contains 8*10^4 bacteria and culture B contains 4*10^6 bacteria. How do the two cultures compare in size?

A. Culture A contains twice as many bacteria as Culture B

B. Culture A contains 1/2 as many bacteria as Culture B

C. Culture A contains 1/25 as many bacteria as Culture B

D. Culture A contains 1/50 as many bacteria as Culture B

take Culture B ÷ culture A

take (4.0 x 10^6) ÷(8.0 x 10^4)
= 50

so D

Tyler’s math class found that it would take 4.1 x 10 7 dollar bills to cover a square mile area. The surface area of the United States is about 2.37 x 10 7 square miles. About how many dollar bills are needed to cover the United States?

To compare the sizes of the two cultures, we can divide the number of bacteria in culture A by the number of bacteria in culture B. Let's perform this division:

Culture A = 8 * 10^4 bacteria
Culture B = 4 * 10^6 bacteria

Culture A / Culture B = (8 * 10^4) / (4 * 10^6)

To divide numbers in scientific notation, we subtract the exponents of 10 and divide the coefficients:

Culture A / Culture B = (8 / 4) * (10^4 / 10^6)

Simplifying this, we get:

Culture A / Culture B = 2 * (10^4 / 10^6)

Since 10^4 divided by 10^6 is 1/100 or 0.01, we have:

Culture A / Culture B = 2 * 0.01 = 0.02

Therefore, Culture A contains 0.02 times as many bacteria as Culture B. In other words, Culture A contains 1/50 as many bacteria as Culture B.

So, the answer is:

D. Culture A contains 1/50 as many bacteria as Culture B.

To compare the size of two bacteria cultures, we can directly compare the numbers of bacteria in each culture.

Culture A contains 8*10^4 bacteria, which is equal to 80,000 bacteria.

Culture B contains 4*10^6 bacteria, which is equal to 4,000,000 bacteria.

Comparing the two numbers, we can see that Culture A has fewer bacteria than Culture B.

To determine the ratio of the number of bacteria in Culture A to the number of bacteria in Culture B, we can divide the number of bacteria in Culture A by the number of bacteria in Culture B:

(8*10^4) / (4*10^6) = 80,000 / 4,000,000 = 1/50

Therefore, Culture A contains 1/50 as many bacteria as Culture B.

So, the answer is D. Culture A contains 1/50 as many bacteria as Culture B.