Adding/Subtracting with Scientific Notation

Which of the following is correct scientific notation?

• 20.35 x 10⁴
• .2035 x 10⁴
• 2035 ⁴
• 2.035 x10⁴

Convert 56,000,000,000 from standard to scientific notation form.

• 5.6 x 10⁹
• 56 x 10^-9
• 56 x 10⁹
• 5.6 x 10¹⁰

How would you write 0.0005 in scientific notation?

• 50 x 10⁵
• 5 x 10⁴
• 5 x 10³
• .5 x 10³

UNDERSTANDING
If the exponent is a negative number...

• you will get a large number
• you will get a small number

UNDERSTANDING
If the exponent is a positive number...

• you will get a large number
• you will get a smaller number

Add withing scientific notation 
(5.2 x 10⁷) + (3.01 x 10⁴)

• 5.20301 x 10¹¹
• .520301 x 10⁷
• 5.20301 x 10⁷
• 5.20301 x 10⁸

Subtract the within the scientific notation. 
(2 x 10³) - (1.9 x 10²)

• 1.81 x 10⁵
• 1.81 x 10³
• 1.81 x 10⁶
• 1.81 x 10⁴

Give the sum of (4.8 x 10⁸) + (5.4 x 10⁸) in scientific notation

• 1.02 x 10⁸

• 1.02 x 10⁹

• 9.2 x 10⁸

• 2.1 x 10⁹

Give the difference of (9.87 x 10⁷) - (7.42 x 10⁷) in scientific notation

• 2.45 x 10⁰

• 3.5 x 10⁷

• 2.45 x 10⁷

• 17.29 x 10⁷

When multiplying numbers in scientific notation, what do you do with the exponents?

• Multiply them

• Add them

• Keep them the same

• Make them equal