Estimate Quantities in Scientific Notation

Express the following in scientific notation:
.000457

• 457 x 10^6

• 457 x 10^-6

• 4.57 x10^4

• 4.57 x 10^-4

8.3 x 10³

• 83

• 8,300

• 0.0083

• 830

Convert 2.5 x 10^8 to standard form.

• 250,000,000

• 25,000,000

• 2,500,000

• 2,500,000,000

Which is the smallest?
1.3 x 10²⁰
2.9 x 10²¹
9.5 x 10³²
8.4 x 10¹⁹

• 1.3 x 10²⁰

• 2.9 x 10²¹

• 9.5 x 10³²

• 8.4 x 10¹⁹

The diameter of the planet Mercury is approximately 3 x 10³ miles. The diameter of the planet Jupiter is approximately 30 times as large as the diameter of the planet Mercury. Which of the following is the best estimate for the diameter of Jupiter?

• 9 x 10⁵ miles

• 9 x 10⁴ miles

• 1 x 10⁴ miles

• 1 x 10⁵ miles

The diameter of a speck of dust is about 0.00002 inches. Which of these is an appropriate estimate for the diameter of the speck of dust?

• 2 × 10^–5 in.

• 2 × 10^–4 in.

• 2 × 10⁵ in.

Which of the following would be a reasonable estimate for the weight of a pencil?

• 1x10^-20 lb

• 1x10² lb

• 1x10²⁰ lb

• 1x10^-2 lb

What can (2.5 x 10^8) be estimated as for easier comparison in scientific notation?

• (2 x 10^8)

• (3 x 10^8)

• (2.5 x 10^7)

• (3 x 10^9)

Compare the diameter of a red blood cell to the diameter of a grain of salt (E-6 means: x 10^-6)

• red blood cell > grain of salt

• grain of salt > red blood cell

• red blood cell = grain of salt

A bacteria cell has a diameter of .00031 cm. Which expression is the best estimate for the diameter of the bacteria cell?