EMA 1 Review
Name
_____
1. You have been hired by a company to write a report on Internet companies’ Wi-Fi ranges. They
have requested that all values be reported in feet using scientific notation.
Ivan’s Internet Company boasts that their wireless access points have the greatest range. Their
claim is that you can access their signal up to 554,400 feet from their device. A competing
1
company, Winnie’s Wi-Fi, has devices that extend to up to 3 2 miles.
a.
How far is Winnie’s Wi-Fi signal, in feet? (5,280 feet = 1 mile)
𝟏
(𝟑 ) (𝟓, 𝟐𝟖𝟎)
𝟐
𝟏𝟖, 𝟒𝟖𝟎 𝒇𝒆𝒆𝒕
b.
Rewrite the range of each company’s wireless access devices in feet using scientific notation.
Ivan’s Internet: 5.544 x 105
Winnie’s Wi-Fi: 1.848 x 104
c.
Which company actually has the greater range?
Winne’s Wi-Fi
d.
How many times greater Winnie’s Wi-Fi range is than Ivan’s Internet range.
𝟓. 𝟓𝟒𝟒 𝐱 𝟏𝟎𝟓
𝟏. 𝟖𝟒𝟖 𝐱 𝟏𝟎𝟒
= 𝟑 × 𝟏𝟎𝟏 𝒐𝒓 𝟑𝟎
2. There is still controversy about whether or not Pluto should be considered a planet. Though planets
are mainly defined by their orbital path (the condition that prevented Pluto from remaining a
planet) the issue of size is something to consider. The table below lists the planets, including Pluto,
and their approximate diameter in meters.
a. Rewrite the approximate diameter of each planet in scientific notation.
Planet
Approximate Diameter (m)
Standard Form
Approximate Diameter (m)
Scientific Notation
Mercury
4,880,000
𝟒. 𝟖𝟖 × 𝟏𝟎𝟔
Venus
12,000,000
𝟏. 𝟐𝟏 × 𝟏𝟎𝟕
Earth
12,800,000
𝟏. 𝟐𝟖 × 𝟏𝟎𝟕
Mars
6,790,000
𝟔. 𝟕𝟗 × 𝟏𝟎𝟔
Jupiter
143,000,000
𝟏. 𝟒𝟑 × 𝟏𝟎𝟖
Saturn
120,000,000
𝟏. 𝟐 × 𝟏𝟎𝟖
Uranus
51,200,000
𝟓. 𝟏𝟐 × 𝟏𝟎𝟕
Neptune
49,600,000
𝟒. 𝟗𝟔 × 𝟏𝟎𝟕
Pluto
2,300,000
𝟐. 𝟑 × 𝟏𝟎𝟔
b. How much larger is Neptune than Venus? Express your answer in scientific notation.
4.96 x 107 – 1.21 x 107 = 3.75 x 107
c. How much larger in Mercury than Pluto? Express your answer in scientific notation.
4.88 x 106 – 2.3 x 106 = 2.58 x 106
3. The table below lists the planets, including Pluto, and their approximate distance from the sun in
kilometers.
a.
Name the planets (including Pluto) in order from closest to the sun to furthest from the sun.
Planet
Distance from the Sun (km)
Standard Form
Jupiter
7.78 x 108
Mercury
5.8 x 107
Pluto
5.9 x 109
Venus
1.03 x 108
Uranus
2.87 x 109
Mars
2.28 x 108
Saturn
1.43 x 109
Earth
1.55 x 108
Neptune
4.5 x 109
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto
b.
Comparing only distance from the sun, about how many times further from the sun is Pluto
than Venus?
𝟓. 𝟗 × 𝟏𝟎𝟗
= 𝟓. 𝟕 × 𝟏𝟎𝟏 𝒐𝒓 𝟓𝟕
𝟖
𝟏. 𝟎𝟑 × 𝟏𝟎
c.
Comparing only distance from the sun, about how many times further from the sun is Jupiter
than Mercury?
𝟕. 𝟕𝟖 × 𝟏𝟎𝟖
= 𝟏. 𝟑 × 𝟏𝟎𝟏 𝒐𝒓 𝟏𝟑
𝟓. 𝟖 × 𝟏𝟎𝟕
For questions 4-6, the following table represents the debt and population for 6 states in 2012.
State
Debt (in dollars)
Population (2012)
California
4.07 x 1011
3.8 x 107
New York
3.37 x 1011
1.9 x 107
Texas
2.76 x 1011
2.6 x 107
North Dakota
3.47 x 109
6.9 x 104
Vermont
4.25 x 109
6.26 x 104
Wyoming
2.08 x 109
5.76 x 104
4. What is the sum of the population for California and Texas?
3.8 x 107 + 2.6 x 107 = 6.4 x 107
5. How much more in debt is North Dakota than Wyoming?
3.47 x 109 – 2.08 x 109 = 1.39 x 109
6. How much larger is the population of North Dakota than the population of Wyoming?
6.9 x 104 – 5.76 x 104 = 1.14 x 104