Scientific Notation Writing

145 x 10⁶

• 14.5 x 10⁷

• 1.45 x 10⁸

• 1.45 x 10⁵

• It is fine the way it is written

13.008 x 10^-2

• 1.3008 x 10^-1

• 1.3 x 10^-3

• 1.308 x 10^-1

• It is fine the way it is written

0.00987 x 10⁴

• 9.87 x 10³

• 9.87 x 10⁷

• 9.87 x 10¹

• It is fine the way it is written

How do you know if a number in scientific notation is written in correct form?

• if it has  "x 10 ^{to a power"} in it

• See if the number of zeroes matches the exponent

• Look for the decimal point

• If there is exactly one digit to the left of the decimal point

What do you do if you have to move the decimal point to the left?

• Add the number of places to the exponent

• Subtract the number of places from the exponent

• Add zeroes to the number

• Subtract zeroes from the number

Change from standard form to scientific notation: 0.004078

• 4.078  x  10^-3

• 4.078  x  10³

• 40.78  x  10^-4

• .4078  x  10^-2

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

• 0.0056

• 5,600

• 0.00056

• 0.0056

Change the number back to standard form:  6.79  x  10⁴

• 679,000

• 6,790

• 67,900

• 6,790,000

Convert this number to Scientific Notation: 125,678,000

• 25678  x  10¹²

• 0.125678  x  10^-9

• 12.5678  x  10⁸

• 25678  x  10⁸