Standard Notation and Scientific Notation

Which of the following is correct scientific notation?

• 20.35 x 10⁴

• .2035 x 10⁴

• 2035 ⁴

• 2.035 x10⁴

Express the following in scientific notation:
.000457

• 457 x 10⁶

• 457 x 10^-6

• 4.57 x10⁴

• 4.57 x 10^-4

Express the following in scientific notation:
10,030,400,000

• 1.00304 x 10⁹

• 1.00304 x 10¹⁰

• 1.00403 x 10¹⁰

• 1.00304 x10^-10

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

How would you write 5.64 x 10⁸ in standard notation?

• 564,000,000

• 546, 000, 000

• 56, 400, 000

• 5,640, 000

Write 208,000 in scientific notation.

• 2.08 x 10⁵

• 0.0208 x 10^-5

• 20.8 x 10⁵

• 0.208 x 10⁶

Express the following in standard notation:

8.025 x 10^-8

• .00000008025

• .000000008025

• 802,500,000,000

• 80,250,000,000

Scientific notation is used for....

• shortening a very small or very large number

• scientists only

• scientific investigations

• not sure

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