for each of the following, give an answer with the correct number of significant figures:

A. 400 times 185
b. 2.40 divided by 4 times 125
c. 0.825 times 3.6 times 5.1
d. 3.5 times 0.261 divided by 8.24 times 20.0

7.40 *10^4

To find the correct number of significant figures in each calculation, follow these steps:

A. 400 times 185
- Multiply the two numbers: 400 * 185 = 74,000
- The answer has two significant figures because the original numbers have two significant figures. Therefore, the answer is 74,000.

B. 2.40 divided by 4 times 125
- Break down the calculation: 2.40 / 4 * 125 = 0.60 * 125 = 75
- The answer has two significant figures because both 2.40 and 125 have three significant figures. Therefore, the answer is 75.

C. 0.825 times 3.6 times 5.1
- Multiply the three numbers: 0.825 * 3.6 * 5.1 = 15.1035
- The answer has five significant figures as the original numbers have three, two, and two significant figures. Therefore, the answer is 15.1035.

D. 3.5 times 0.261 divided by 8.24 times 20.0
- Divide and multiply the numbers: (3.5 * 0.261) / (8.24 * 20.0) = 0.916 . . .
- The answer has three significant figures as the original numbers have two, three, two, and three significant figures. Therefore, the answer is 0.916.

http://www.chemteam.info/SigFigs/SigFigs.html

I shall be happy to check your answers.