Basics
Convert 5,600,000 into scientific notation.
5.6 × 10⁶
Multiply: (3 × 10⁴) × (2 × 10²)
6 × 10⁶
Simplify: x⁴ × x³
x⁷ (Product Rule: Add exponents)
Convert 0.00042 into scientific notation.
4.2 × 10⁻⁴
Divide: (9 × 10⁶) ÷ (3 × 10³)
3 × 10³
Simplify: (2³)²
2⁶ = 64 (Power Rule: Multiply exponents)
Convert 8.2 × 10⁵ into standard form.
820,000
Add: (2.5 × 10⁵) + (3.1 × 10⁵)
5.6 × 10⁵
Simplify: (10⁶ ÷ 10²)
10⁴ (Quotient Rule: Subtract exponents)
What are the two parts of a number in scientific notation?
A coefficient (1 ≤ x < 10) and a power of 10
Subtract: (7.4 × 10³) - (2.1 × 10³)
5.3 × 10³
Rewrite 4⁻³ using a positive exponent.
1 / 4³ = 1 / 64
Why is scientific notation useful in real-world applications?
It allows for easier calculations and representation of very large or small numbers, commonly used in science, engineering, and astronomy.
Multiply: (5.2 × 10⁷) × (4 × 10⁻³)
2.08 × 10⁵
Simplify: (5 × 10³)⁴
5⁴ × 10¹² = 625 × 10¹² or 6.25 × 10¹⁴ (Applying Power Rule to both)