Math Fun! Summer Assignment answers

1. What is one million times one thousand? Show your work in scientific notation and give the answer in scientific notation and in words.

1 billion or 109

106 x 103 = 109

2. A population of deer had 200 individuals. If the population grows by 15% in one year, how many deer will there be the next year?

200 x 0.15 = 30 200 + 30 = 230

3. This year there are 28 AP Environmental Science students and next year there will be 60 AP Environmental Science students. What percentage did the population of APES students grow by?

60 - 28 = 32 student increase 32/28 = x/100 x = 114%

4. Electricity costs 6 cents per kilowatt hour. In one month, one home uses one megawatt hour of electricity. How much will the electric bill be? (Use the prefixes above for assistance)

$0.06/1 kWh x 1000 kWh/1 mWh = $60.00

5. Your car gets 15 miles to the gallon and your friend’s car gets 25 miles to the gallon. You decide to go on a road trip to Virginia Beach, which is 300 miles away. If gas costs $4.00 per gallon and you decide to split the gas money, how much money will you save in gas by driving your friend’s car?

Your car – 1 gallon / 15 miles x 300 miles = 20 gallons of gas needed

Friend’s car – 1 gallon / 25 miles x 300 miles = 12 gallons of gas needed

Your car’s cost of trip – 20 gallons x $4 / gallon = $80

Friend’s car’s cost of trip – 12 gallons x $4 / gallon = $48

Difference = $32 so your share of savings is $16

6. Manhattan is 2 miles wide and 17 miles long. If one inch of rain falls on Manhattan, then how many cubic feet of rain fell on Manhattan? (Hint: convert all units to feet first)

1 mile = 5,280 ft

Area of Manhattan = (2 x 5,280) x (17 x 5,280) = 947,865,600 sq ft

1 inch of rain = 0.833 ft

Volume of one inch of rain on Manhattan = 0.0833 ft x 947,865,600 sq ft = 78,672,844 = 7.9 x 107 cubic feet

7. An mp3 takes up about 16 kilobytes of memory per second of music. If you owned a one terabyte hard drive and filled it with only mp3s, then how many days of music would you have stored?

1012 bytes x 1 second / 16 x 103 bytes = 62,500,000 seconds x 1 hour / 3600 seconds = 17,361.1111 h

17,361.1111 h x 1 day / 24 hours = 723.4 days