I can add, subtract, multiply, and divide numbers in scientific notation.

Operations with very large or very small numbers can be carried out more efficiently using scientific notation. The properties of exponents apply when carrying out operations.

Addition or Subtraction:

(2.3 × 10^6) + (1.6 × 10^9)

(2.3 × 10^6) + (1.6 × 10^3) × 10^6

(2.3 × 10^6) + (1,600 × 10^6)

(2.3 + 1,600) × 10^6

1,602.3 × 10^6

1.6023 × 10^9

Use the Product of Powers Property.

Multiplication:

(2.3 × 10^6) × (1.6 × 10^9)

(2.3 × 1.6) × (10^6 × 10^9)

3.68 × 10^(6+9)

3.68 × 10^15

Use the Product of Powers Property.

Division:

(2.3 × 10^6) ÷ (1.6 × 10^9)

(2.3 ÷ 1.6) × (10^6 ÷ 10^9)

1.4375 × 10^(6-9)

1.4375 × 10^(-3)

Use the Quotient of Powers Property.