Converting to Scientific Notation and Standard Notation

Scientific notation is used for....

• shortening a very small or very large number

• scientists only

• scientific investigations

• not sure

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

0.000000034

• 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

UNDERSTANDING

If the exponent is a positive number...

• you will get a large number

• you will get a small number

UNDERSTANDING:

The first number in scientific notation must not be...

• between and including 0 and 10

• between and including 1 and 9.9999

• between and including 0 and 9.999

• between and including 1 and 10

Which of the following is correct scientific notation?

• 41.5 x 10^-5

• 0.2035 x 10⁴

• 20.4 x 10⁸

• 4.5 x10⁹

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