Scientific Notation and Standard Notation Practice

Scientific notation is used for....

• shortening a very small or very large number

• scientists only

• scientific investigations

• not sure

Tags

CCSS.8.EE.A.3

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

Tags

CCSS.8.EE.A.3

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

Tags

CCSS.8.EE.A.3

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

Tags

CCSS.8.EE.A.3

UNDERSTANDING

If the exponent is a positive number...

• you will get a large number

• you will get a small number

Tags

CCSS.6.EE.A.1

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

Tags

CCSS.8.EE.A.3

Which of the following is correct scientific notation?

• 41.5 x 10^-5

• 0.2035 x 10⁴

• 20.4 x 10⁸

• 4.5 x10⁹

Tags

CCSS.8.EE.A.3

How would you write 5.64 x 10⁸ in standard notation?

• 564,000,000

• 546, 000, 000

• 56, 400, 000

• 5,640, 000

Tags

CCSS.8.EE.A.3

Write 208,000 in scientific notation.

• 2.08 x 10⁵

• 0.0208 x 10^-5

• 20.8 x 10⁵

• 0.208 x 10⁶

Tags

CCSS.8.EE.A.3