Convert Between Standard and Scientific Notation

Write 208,000 in scientific notation.

• 2.08 x 10⁵

• 0.0208 x 10^-5

• 20.8 x 10⁵

• 0.208 x 10⁶

How many spaces and which way would you move the decimal to convert this number to scientific notation?

• 7 to the right, because there are 7 zeroes

• 8 to the right, because there must be one number to the left of the decimal point that is more than 0 but less than 10

• 7 to the left, because you have to get rid of the zeroes

• 8 to the left, because there are 8 numbers to make it 3.4

The picture above is taken from a powerful microscope showing colonies of bacteria. The size of bacteria can be as small as 2.0 x 10 ^ -7 meters. What is this number in standard notation?

• 2,000,000

• 0.000002

• 20,000,000

• 0.0000002

How would you write 5.64 x 10⁸ in standard notation?

• 564,000,000

• 546, 000, 000

• 56, 400, 000

• 5,640, 000

Write 7.8 x 10³ in standard form.

• 7,800

• 78,000

• 78

• 0.0078

Express the following in standard notation:

8.025 x 10^-8

• .00000008025

• .000000008025

• 802,500,000,000

• 80,250,000,000

How would you write -5.6 x 10^-3 in standard form?

• 0.0056

• -5,600

• 0.00056

• -0.0056

Write 0.00000707 in scientific notation.

• 7.07 x 10^-6

• 7.07 x 10⁶

• 707 x 10⁸

• 707 x 10^-8

Convert the following number to scientific notation: 43,000,000

• 43x10⁶

• 4.3×10⁷

• 430×10⁵

• 4.3×10⁻⁷

Convert the following number to scientific notation: 520,000,000

• 52 x 10⁷

• 5.2 x 10⁷

• 5.2 x 10⁸

• 0.52 x 10⁹