Free Printable Scientific Notations Operations

1.

The average distance from Earth to the Moon is approximately 384,400,000 meters. What is the average distance, in kilometers, from Earth to the Moon written in scientific notation?

a)

$3.844 \times 10^4$

b)

$3.844 \times 10^5$

c)

$3.844 \times 10^7$

d)

$3.844 \times 10^8$

2.

Determine the product. $800.5 \times \left( 2 \times 10^6 \right)$

a)

$1.7 \times 10^7$

b)

$1.601 \times 10^7$

c)

$1.7 \times 10^9$

d)

1.601 x 10⁹

3.

A scientist collects two rock samples. One rock has a mass of 9 x 10^-1 kilograms, and the other rock has a mass of 2 x 10² kilograms. About how many times greater is the mass of the larger rock than the smaller rock?

a)

45

b)

200

c)

450

d)

2000

4.

What is the product of 4.2 x 10^-2 and 0.003?

a)

$1.26 x 10^{-7}$

b)

1.26 x 10^-6

c)

$1.26 x 10^{-5}$

d)

$1.26 x 10^{-4}$

5.

I can interpret scientific notation that has been generated by technology. Two numbers, n and m, are shown as they appear in scientific notation on a scientific calculator display. Display for n: 1.2 E 12, Display for m: 2.4 E 14. Which expression represents the quotient of n/m written in scientific notation?

a)

$2 x 10^{-2}$

b)

$2 x 10^{-3}$

c)

5 x 10^-2

d)

5 x 10^-3

6.

A very small dust particle has a diameter of about 0.004 inches. Most cells of living organisms have diameters of about 4 x 10^-4 inches. Which is larger, the dust particle or the typical cell in a living organism?

a)

The dust particle is larger.

b)

The typical cell in a living organism is larger.

c)

Both are of the same size.

7.

The thinnest commercial glass is 9.84 x 10^-4in thick. The glass of an aquarium is 1000 times as thick. How thick is the aquarium glass?

a)

9.84 x $10^{-1}$ in thick.

b)

1.5 in thick.

c)

0.5 in thick.

d)

2 in thick.

8.

Beth divided two numbers on her calculator using scientific notation. The diagram shows her screen. What is the answer to Beth's problem in scientific notation?

a)

$5\ x10^7$

b)

$4.56 x 10^2$

c)

$7.89 x 10^4$

d)

$3.21 x 10^5$

9.

In 2011, the population of Finland was about 5.379 x 10⁶. The population of Norway was about 4.937 x10⁶. About how much more was the population of Finland than Norway? Write your answer in scientific notation.

a)

1.063 x 10⁶

b)

4.42 x 10⁵

c)

3.063 x 10⁶

d)

4.063 x 10⁶

10.

I can apply laws of exponents to perform operations with numbers written in scientific notation. If a star has been receding at $4 \times 10^{17}$ miles a year for $2 \times 10^8$ years, how far away has it moved?

a)

$8 \times 10^{25}$ miles

b)

$8 \times 10^{24}$ miles

c)

$6 \times 10^{25}$ miles

d)

$6 \times 10^{24}$ miles

11.

Craig went bowling with $25 to spend. He rented shoes for $5.25 and paid $4.00 for
each game. Create and solve an equality to show the greatest number of games Craig could have played?

a)

4

b)

5

c)

6

d)

7

12.

Porter’s Garage charges fees for auto repairs based on the formula, C = 85h + 275, where C is the total charge and h represents the number of hours required to complete the repairs. What does the 85 represent in relation to the cost of the repairs?

a)

total charge

b)

cost per hour of labor

c)

number of car parts ordered

d)

cost of parts required for the repair

Scientific Notations Operations

Total questions: 12

Worksheet time: 16mins

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