Scientific Notation 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

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

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

Match the process to the correct way to solve

• Multiply the decimals, ADD the exponents

• Dividing with Scientific Notation

• Divide the decimals, SUBTRACT exponents

• Adding and Subtracting with Scientific Notation

• Make the exponents MATCH, +/- decimals

• Multiplying with Scientific Notation

A person has $1.15 x 10^3 in their savings account. They spent $6.75 x 10^2 on their living expenses. How much money is left in their savings account?

Mathematical Equivalence

ON

Match the following

• subtract the exponents

• dividing scientific notation

• must be written between 1 and 10

• adding scientific notation

• Left, Add

  Right, Subtract

• LARS

• add the exponents

• multiplying scientific notation

• exponents must match

• Scientific notation

Subtract with scientific notation.

(4.01 x 10⁸) - (7.32 x 10⁶)

• -3.936 x 10⁸

• 3.936 x 10⁸

• 3.936 x 10⁷

• 3.936 x ⁻²

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