Significant Scientific Notation

Which statement is true?

• 0.5 x 10³ is written in scientific notation.

• If you write 75,000 in scientific notation, the power of 10 will be 3.

• If you write 0.003 in scientific notation, the power of 10 will be -3.

• If you write 0.00305 is scientific notation, the power of 10 will be -5.

In 2012, the estimated population of California was 4.1 x 10⁷. Which of the following represents this number written in standard form?

• 4,100,000

• 41,000,000

• 410,000,000

• 0.00000041

Which number is expressed in scientific notation?

• 0.75 x 10^-3

• 6 x 5³

• 21.3 x 10^-1

• 8.03 x 10^-6

Callisto is one of the moons orbiting the planet Jupiter. Callisto's mean distance from Jupiter is about 1,882,700 km. Which of the following expresses this distance using scientific notation?

• 1.8827 x 10⁷ km

• 18,827 x 10² km

• 1.8827 x 10² km

• 1.8827 x 10⁶ km

The distance from Earth to Mars on a certain day is about 39,000,000 miles. How is this number written in scientific notation?

• 3.9 x 10⁷ mi

• 3.9 x 10⁶ mi

• 39 x 10⁶ mi

• 3.9 x 10^-7 mi

The length of a common dust mite measures 4 x 10^-2 cm. How is the number written in standard form?

• 400 cm

• 0.4 cm

• 0.04 cm

• 40 cm

An atom of gold is about 0.0000000025 meter in diameter. How is this number written in scientific notation?

• 2.5 x 10^-9 m

• 2.5 x 10^-8 m

• 2.5 x 10⁸ m

• 2.5 x 10^-10 m

The radius of the Earth's orbit is 150,000,000,000 meters. How would this number be written in scientific notation?

• 1.5 x 10¹⁰ m

• 1.5 x 10¹¹ m

• 1.5 x 10⁹ m

• none of the above

A communications satellite was orbited at an altitude of 6.25 x 10⁵ meters from the Earth's surface. How is the number written in standard form?

• 62,500.000 m

• 625,000 m

• 6,250,000 m

• 0,0000625 m

An influenza virus measures 0.00000013 meter in length. How is this number written in scientific notation?

• 1.3 x 10^-7 m

• 1.3 x 10^-6 m

• 1.3 x 10^-8 m

• 1.3 x 10⁶ m