Laws of Exponents and Operations with Scientific Notation

Multiply the scientific notation:

(9.4 x 10⁶)(3.2 x 10⁵)

• 30.08 x 10¹¹

• 3.8 x 10¹

• 3.008 x 10¹²

• 2.9375 x 10¹

Multiply the scientific notation:

(9.6×10^-8)(2×10^-15)

• 1.92×10^-22

• 19.2×10^-23

• 1.92×10^-24

• 19.2×10^-25

What is the ONLY thing that matters when adding and subtracting numbers in scientific notation?

• That the exponents are different

• That the constants are the same

• That the exponents are the same

• That both constants are positive

Subtract the scientific notation.

(3 x 10³) - (2.9 x 10²)

• 2.71 x 10⁵

• 2.71 x 10³

• 2.71 x 10⁶

• 2.71 x 10⁴

Add the scientific notation:

(6.2 x 10²) + (9.7 x 10⁰)

• .6297 x 10²

• 6.297 x 10⁰

• 6.297 x 10³

• 6.297 x 10²

Add with 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 with scientific notation.

• -3.936 x 10⁸

• 3.936 x 10⁸

• 3.936 x 10⁷

• 3.936 x ⁻²

TRUE OR FALSE:

When you are dividing scientific notations, you would use the Quotient Rule for the powers of 10.

• True

• False

Divide the scientific notation:

(6.9 x 10⁷) / (2.3 x 10^-3)

• 3 x 10¹⁰

• 3 x 10⁴

• 3 x 10^-4

• 3 x 10^-11

Divide the scientific notation:

5.2 x 10¹³ / 1.5 x 10⁷

• 3.9 x 10⁶

• 4 x 10²⁰

• 3.4 x 10⁶

• 3.9 x 10²⁰