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How do you write 5,200 in scientific notation?
5.2 × 10³.
How do you write 0.0048 in scientific notation?
4.8 × 10⁻³.
If you move the decimal to the left, what happens to the exponent?
The exponent becomes positive.
If you move the decimal to the right, what happens to the exponent?
The exponent becomes negative.
What is 1.2 × 10⁶ written in standard form?
1,200,000.
: What is 6.3 × 10⁻⁴ written in standard form?
: 0.00063.
What does the prefix mega (M) mean?
10⁶ (1,000,000).
What does kilo (k) mean?
10³ (1,000).
What does hecto (h) mean?
10² (100).
What does deca (da) mean?
10¹ (10).
What does base unit mean?
10⁰ (1) → grams, meters, liters, etc.
What does deci (d) mean?
10⁻¹ (0.1).
What does centi (c) mean?
10⁻² (0.01).
What does milli (m) mean?
10⁻³ (0.001).
What does micro (µ) mean?
10⁻⁶ (0.000001).
What does nano (n) mean?
10⁻⁹ (0.000000001).
How do you convert between metric units?
Multiply or divide by powers of ten (move the decimal).
Convert 1 megameter (Mm) to kilometers (km).
1 Mm = 1,000 km (10⁶ ÷ 10³ = 10³).
Convert 2,500 millimeters (mm) to meters (m).
2,500 mm = 2.5 m (divide by 1,000).
Convert 4.2 kilometers (km) to meters (m).
4.2 km = 4,200 m (multiply by 1,000).
Convert 50 centimeters (cm) to meters (m).
50 cm = 0.5 m (divide by 100).
Convert 3.6 × 10³ g to kilograms (kg).
3.6 × 10³ g = 3.6 kg (divide by 1,000).
Convert 5.0 × 10⁻² meters to millimeters.
5.0 × 10⁻² m = 50 mm (multiply by 1,000).