BMST Scientific Notation and Unit Conversions — Questions and Answers
Question 1: Which of the following correctly expresses 0.00045 in scientific notation?
- 4.5 × 10⁻⁴ (Correct answer)
- 4.5 × 10⁴
- 45 × 10⁻⁵
- 0.45 × 10⁻³
Correct answer: 4.5 × 10⁻⁴
Move the decimal point 4 places to the right to get 4.5, so the exponent is −4. Proper scientific notation has exactly one non-zero digit before the decimal: 4.5 × 10⁻⁴.
Question 2: Multiply: (3 × 10³) × (2 × 10⁴) = ?
- 6 × 10⁷ (Correct answer)
- 6 × 10¹²
- 5 × 10⁷
- 6 × 10⁶
Correct answer: 6 × 10⁷
Multiply the coefficients: 3 × 2 = 6. Add the exponents: 3 + 4 = 7. Result: 6 × 10⁷.
Question 3: How many millimeters are in 3.5 meters?
- 3,500 mm (Correct answer)
- 350 mm
- 0.0035 mm
- 35 mm
Correct answer: 3,500 mm
There are 1,000 millimeters in 1 meter. 3.5 × 1,000 = 3,500 mm. The prefix 'milli-' means one-thousandth.
Question 4: Which prefix represents 10⁻⁶ (one millionth)?
- Micro (μ) (Correct answer)
- Milli (m)
- Nano (n)
- Kilo (k)
Correct answer: Micro (μ)
Micro (μ) = 10⁻⁶. Milli = 10⁻³, Nano = 10⁻⁹, Kilo = 10³. Knowing metric prefixes is essential for science calculations.
Question 5: Convert 5,200,000 to scientific notation.
- 5.2 × 10⁶ (Correct answer)
- 52 × 10⁵
- 5.2 × 10⁷
- 0.52 × 10⁷
Correct answer: 5.2 × 10⁶
Place the decimal after the first digit: 5.2. Count how many places you moved left: 6 places. Result: 5.2 × 10⁶.
Question 6: A sample weighs 2,500 grams. How many kilograms is this?
- 2.5 kg (Correct answer)
- 25 kg
- 0.25 kg
- 250 kg
Correct answer: 2.5 kg
1 kilogram = 1,000 grams. 2,500 ÷ 1,000 = 2.5 kg. 'Kilo-' means 1,000, so you divide by 1,000 to convert grams to kilograms.
BMST Scientific Notation and Unit Conversions
Which of the following correctly expresses 0.00045 in scientific notation?