lightbulb Key Concepts

< div id = "study-notes" style = "background: rgba(255,255,255,0.03); padding: 1.5rem; border-radius: 12px; border: 1px solid rgba(255,255,255,0.1); margin-bottom: 2rem; line-height: 1.6;" >

1. Division by Powers of 10

Dividing a number by 10, 100, 1000, etc., is a fundamental arithmetic skill used in scientific notation and unit conversion.

2. The Decimal Shift Rule

• Divide by 10: Move the decimal point one place to the left. (e.g., 45 ÷ 10 = 4.5)
• Divide by 100: Move the decimal point two places to the left. (e.g., 45 ÷ 100 = 0.45)
• Divide by 10ⁿ: Move the decimal point n places to the left.

3. Applications

This shortcut is essential for quickly converting units (e.g., millimeters to meters) and simplifying complex calculations in chemistry and physics.