BMST Scientific Notation and Unit Conversions

Question 1

Which of the following correctly expresses 0.00045 in scientific notation?

Accepted Answer

4.5 × 10⁻⁴

Answer

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) = ?

Accepted Answer

6 × 10⁷

Answer

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?

Accepted Answer

3,500 mm

Answer

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)?

Accepted Answer

Micro (μ)

Answer

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.

Accepted Answer

5.2 × 10⁶

Answer

Place the decimal after the first digit: 5.2. Count how many places you moved left: 6 places. Result: 5.2 × 10⁶.

BMST - Basic Math and Science Test Practice Test

BMST - Basic Math and Science Test Practice Test

BMST Scientific Notation and Unit Conversions