Scientific and Standard Notation with Applications

The diameter of a carbon atom is 0.000 000 000 154 m. What is this number expressed in scientific notation?

• 1.54 x 10¹² m

• 1.54 x 10^-12 m

• 1.54 x 10¹⁰ m

• 1.54 x 10^-10 m

Write 7.8 x 10^-3  in standard form.

• 0.0078

• 7,800

• 78

• 0.078

Write 6,700 in scientific notation.

• 6.7 x 10³

• 6.7 x10^-3

• 67 x 10²

• 67 x 10^-2

How would you write 0.0005 in scientific notation?

• 50 x 10⁵

• 5 x 10⁴

• 5 x 10³

• .5 x 10³

Express the following in scientific notation:
.000045

• 4.5 x 10^-5

• 45 x 10^-6

• 4.5 x10⁵

• 45 x 10⁶

Write 9.8 x 10^-5 in standard form

• 0.00098

• 0.000098

• .098

• 98,000

Which of the following in the LARGEST number?

• 9 x 10⁶

• 8 x 10¹⁰

• 1.3 x 10¹²

• 5.3 x 10³

Which of the following numbers is the SMALLEST?

• 8.7 x 10³

• 3 x 10⁴

• 1.3 x 10⁸

• 9 x 10²

What is this number in scientific notation?

7,100, 000, 000

(hint: study the image above)

• 7.1 x 10⁹

• 7.1 x 10^-10

• 7.1 x 10¹⁰

• 7.1 x 10^-9

Which is true when converting from scientific to standard notation? (select all that apply)

• move the decimal to the right if the exponent is negative

• move the decimal to the left if the exponent is positive

• move the decimal to the right if the exponent is positive

• move the decimal to the left if the exponent is negative