Free Printable APPLICATIONS OF SCIENTIFIC NOTATION

1.

A human body contains about

3.2\ \cdot10^4\ \mu L\ \left(microliters\right)\

of blood for each pound of body weight. Each microliter of blood contains about

5\cdot10^6

red blood cells. Find the approximate number of red blood cells in the body of a 125-lb person.

a)

$There\ are\ about\ 2\cdot10^{12}\ red\ blood\ cells.$

b)

$There\ are\ about\ 2\cdot10^{14}\ red\ blood\ cells.$

c)

$There\ are\ about\ 2\cdot10^{13}\ red\ blood\ cells.$

d)

$There\ are\ about\ 2\cdot10^{-13}\ red\ blood\ cells.$

2.

There are about $3.35\cdot10^{25}$ molecules in a liter of water. Pine Lake. in New York, has about $2\cdot10^8$ liters of water. About how many molecules of water are in Pine Lake?

a)

$About\ 67\cdot10^{32\ }\ molecules.$

b)

$About\ 6.7\cdot10^{32\ }\ molecules.$

c)

$About\ 6.69\cdot10^{34\ }\ molecules.$

d)

$About\ 6.7\cdot10^{33\ }\ molecules.$

3.

The term mole can be used in chemistry to refer to

6.02\times10^{23}\ atoms\

of a substance. The mass of a single hydrogen atom is approximately

1.67\times10^{-24}\ gram.\

What is the mass of 1 mole of hydrogen atoms?

a)

About 1.01 g

b)

About 10.1 g

c)

About 0.101 g

d)

About 1.1 g

4.

$1.45\cdot10^{-1}\ kWh\ \left(kilowatt-hour\right)$ is what an hour of television use consumes of electricity. Each kilowatt-hour of electric use is equivalent to $3.6\cdot10^6\ joules\ of\ energy.$ Find how many joules a television uses in 1 hour.

a)

$4.22\cdot10^5\ joules$

b)

$5.22\cdot10^5\ joules$

c)

$5.22\cdot10^4\ joules$

d)

$4.22\cdot10^4\ joules$

5.

In 1990, the United States government owed

3.23\cdot10^{12}

dollars to its creditors. The population of the United States was

2.487\cdot10^8

people. How much did the government owe per person in 1990? Round to the nearest dollar.

a)

About $12,900

b)

About $13,900

c)

About $12,900

d)

About $12,988

6.

Simplify the quotient. Write the answer in scientific notation.

\frac{8.4\cdot10^{-5}}{2\cdot10^{-8}}

a)

$4.5\cdot10^4$

b)

$4.2\cdot10^3$

c)

$5.4\cdot10^3$

d)

$4.1\cdot10^4$

7.

A rectangular section of land made up of wheat farms has a length of 5 X 10⁴ meters and a width of 6 X 10³ meters What is the area of the land in square meters?

a)

3 X 10⁶ m²

b)

3 X 10⁷ m²

c)

3 X 10⁸ m²

d)

3 X 10¹² m²

8.

One pint of blood contains about $2.4\cdot10^{12}\$ red blood cells. Your body normally produces about $2\cdot10^6$ red blood cells per second. If you donate blood, In how many seconds will your body replace the red blood cells lost by giving one pint of blood?

a)

$About\ 1.5\cdot10^6\ s.$

b)

$About\ 1.2\cdot10^6\ s.$

c)

$About\ 1.2\cdot10^5\ s.$

d)

$About\ 1.5\cdot10^5\ s.$

9.

The mean distance from the sun to Earth is 9.29 x 10⁷ miles. Jupiter's mean distance from the sun is 4.8388 x 10⁸ miles. What is the difference between these two distances in miles?

a)

4.3092 x 10¹

b)

3.9098 x 10⁷

c)

3.9098 x 10⁸

d)

5.7678 x 10⁸

10.

The dimensions of an office building are 1.5 x 10² feet by 1.35 x 10³ feet. What is the perimeter of the base of the building, in feet?

a)

1.50 x 10³

b)

2.85 x 10 ⁵

c)

3.00 x 10 ³

d)

5.70 x 10 ⁵

11.

The Diplodocus dinosaur is believed to have become extinct approximately 1.38x10⁸years ago. The Oviraptor is believed to have become extinct approximately 7x10⁷years ago. How many years were there between the extinction of these two dinosaur types?

a)

6.8 x 10⁸

b)

6.8 x 10⁹

c)

68 x 10⁸

d)

6.8 x 10⁷

12.

The US spends an average of 1.02x10⁴dollars on each student per year. There are about 7.6x10⁷ students in the US. About how much money total is spent on students per year?

a)

7.752 x 10¹¹

b)

7.752 x 10²⁸

c)

8.62 x 10¹¹

d)

8.62 x 10²⁸

13.

As part of a community service project, a class planted 7x10⁵ trees in a year. If there are 3.5x10³ students in the school, how many trees did each student plant?

a)

2 x 10⁸

b)

2 x 10²

c)

3.5 x 10⁸

d)

3.5 x 10²

14.

The distance from the sun to the Andromeda galaxy is 1.2 x 10¹⁹ miles. Light travels at a speed of 5.88 x 10¹² miles per year (called a light-year). How long does it take light from the sun to the Andromeda galaxy?

a)

2.04 x 10⁶ years

b)

2.04 x 10⁷ years

c)

7.056 x 10²¹ years

d)

7.056 x 10⁷ years

15.

A computer's hard disk drive holds 8 x 10⁷bytes of information. If Jill buys an extra memory stick that holds 3 x 10⁶ bytes of information, how much memory will the computer hold?

a)

11 x 10¹³

b)

11 x 10⁷

c)

8.3 x 10¹³

d)

8.3 x 10⁷

16.

In 2012, New York City (NYC) and Los Angeles (LA) has the highest populations of any cities in the United States. NYC’s population was about 8.1 × 10⁶ and LA’s population was about 3.8 × 10⁶. What is the population of these two cities combined?

a)

1.19 x 10^-7

b)

1.19 x 10⁷

c)

11.9 x 10⁶

d)

1.19 x 10⁶

17.

A TV show had 3.5 × 10⁶ viewers for their first episode and 8.5 × 10⁶ viewers for their second episode. How many viewers did they have overall?

a)

1.2 x 10⁷

b)

1.2 x 10^-7

c)

1.2 x 10⁶

d)

1.2 x 10^-6

18.

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

a)

3.326 x 10⁵

b)

3.326 x 10⁶

c)

1.99 x 10³⁰

d)

1.99 x 10⁶

19.

Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?

a)

$5844

b)

$584.40

c)

$58.40

d)

$58440

20.

If a computer can perform an addition operation in 1.5 x 10^-6 seconds, how long will it take to perform 1500 such operations?

a)

2.25 x 10^-3 seconds

b)

2.25 x 10^-6 seconds

c)

2.25 seconds

d)

2.25 x 10⁶ seconds

21.

In 1985 Earth had 4.9 ×10⁹ people living on it and in 2005, earth had 6.4 ×10⁹ living on it. How many more people inhabited Earth in 2005 than in 1985?

a)

1.13 x 10⁹

b)

1.13 x 10¹⁰

c)

1.5 x 10⁸

d)

1.5 x 10⁹

22.

1. The pitch of a sound is determined by the number of vibrations produced per second. The note “middle C” produces 2.62 x 10² vibrations per second. If a pianist plays middle C for 5 x 10^-1 seconds, how many vibrations will occur? Which operation would you use to solve this problem?

a)

Addition

b)

Subtraction

c)

Multiply

d)

Divide

23.

4. Find the combined mass of Earth and Venus. Earth is approximately 5.9 x 10²⁴ kg and Venus is approximately 4.9 x 10²⁴ kg.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

24.

By area, Russia is the largest country in the world. It has an area of 8.649 x 10⁶ square miles. Canada is second with 4.797 x 10⁶ square miles. What is the difference in area?

a)

3.852 x 10⁶ square miles

b)

3.852 x 10⁰ square miles

c)

1.803 x 10⁶ square miles

d)

1.803 x 10¹ square miles

25.

6. Rhode Island is the smallest state in the United States. Its land area is about 2.9 x 10¹⁰ square feet. Alaska, the largest state, is about 5.5 x 10²⁰ square feet. Approximately how many times larger is Alaska than Rhode Island?

a)

5.2 x 10¹¹

b)

5.2 x 10^-11

c)

1.9 x 10^-10

d)

1.9 x 10¹⁰

APPLICATIONS OF SCIENTIFIC NOTATION

Total questions: 25

Worksheet time: 6hrs 15mins

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