Objective 1: Numbers, Operations, & Quantitative Reasoning
8.1D: The student understands that different forms of numbers are appropriate for
different situations. The student is expected to express numbers in scientific notation,
including negative exponents, in appropriate problem situations. (Supporting)
1. A certain bacterium measures approximately 0.000015 millimeter in length. How is this
length expressed in scientific notation?
F
G
H
J
1.5 × 10-5mm
1.5 × 10-4 mm
0.15 × 105 mm
15 × 104 mm
2. The diameter of a blood cell is measured in micrometers. A micrometer is 0.000001
meter. Which expression represents this number in scientific notation?
A
B
C
D
1.0 × 107
1.0 × 106
1.0 × 10-6
1.0 × 10-7
3. The sun’s core temperature reaches close to 2.7 × 107 degrees Fahrenheit. Which of the
following represents this temperature in standard notation?
A
B
C
D
270,000°F
2,700,000°F
27,000,000°F
270,000,000°F
1
Objective 1: Numbers, Operations, & Quantitative Reasoning
4.
One bacterium is about
7.4 106 meters long. What is the
combined length of 12 bacteria that
are laid end-to-end?
6.
A 8.88 106
A light year is the distance that light
travels (through a vacuum) in one
year. If one light year is about
9.5 1017 centimeters, which value
best represents 2 light years?
A 1,900,000,000,000,000,000 cm
B 8.88 105
B 190,000,000,000,000,000 cm
C 8.88 10
6
C 19,000,000,000,000,000 cm
72
D 8.88 10
5.
The weight of one atom of
hydrogen is about
0.0000000000000000000000017
grams. Express this weight in
scientific notation.
A 1.7 x 1024
B 17 x 10-25
C 1.7 x 10
-23
D 1.7 x 10
-24
D 1,900,000,000,000,000 cm
7.
The distance from the planet Pluto
to the sun is approximately
5.9  1012 . Which expression
represents this distance in standard
notation?
A 5.9000000000000
B 590,000,000,000
C 5,900,000,000,000
D 59,000,000,000,000
2
Objective 1: Numbers, Operations, & Quantitative Reasoning
8.
The mass of a particle of dust is
0.000000000783 kilograms. How would this mass be
expressed in scientific notation?
A 7.83  10-10
B 7.83  10-12
C 7.83  1010
D 7.83  1012
9. Mars is 54,600,000 million light years away from Earth. Write this in scientific notation.
10. The Earth's total surface is an area that measures 197,000,000 square miles.
What is the Earth’s surface area written in scientific notation?
11. A light year travels at an incredible 300,000 kilometers (186,000 miles) per second.
What is the kilometers per second written in scientific notation?
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