Math Hw Scientific Notation 8th grade Question 1
Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103

4.4 ⋅ 10−5
3.99 ⋅ 10−6
2.6 ⋅ 102
1.85 ⋅ 103

Question 2
Convert 5.4 ⋅ 103 to standard form.

0.0054
0.00054
5,400
54,000

Question 3
Convert 3,200,000 to scientific notation.

3.2 ⋅ 106
3.2 ⋅ 105
3.2 ⋅ 10−6
3.2 ⋅ 10−5

Question 4
Convert 0.0001 to a power of 10.

10−4
104
10−3
103

Question 5
Compare 8 ⋅ 107 to 2 ⋅ 104.

8 ⋅ 107 is 4,000 times larger than 2 ⋅ 104.
8 ⋅ 107 is 400 times larger than 2 ⋅ 104.
8 ⋅ 107 is 40 times larger than 2 ⋅ 104.
8 ⋅ 107 is 4 times larger than 2 ⋅ 104.

Question 6
The table shows the diameters of three planets:
Planet Diameter
Neptune 4.9 ⋅ 104
Saturn 1.2 ⋅ 105
Uranus 5.1 ⋅ 104

Order the planets from greatest to least diameter.
Saturn, Uranus, Neptune
Neptune, Uranus, Saturn
Uranus, Neptune, Saturn
Saturn, Neptune, Uranus

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.