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Scientific notation

Chemistry • Measurement & Units • Knowledge-Based • 9 questions

Scientific notation Knowledge-Based Download PDF

Chemistry · Introduction to Chemistry · Chemistry · Measurement & Units

9 Chemistry practice questions on Scientific notation. Questions that assess core concepts and understanding.

Questions

  1. 1.

    Which of the following quantities represents the smallest mass?

    • A) 6.2×10−8 g6.2 \times 10^{-8}\text{ g}
    • B) 9.4×10−8 g9.4 \times 10^{-8}\text{ g}
    • C) 1.5×10−7 g1.5 \times 10^{-7}\text{ g}
    • D) 3.0×10−6 g3.0 \times 10^{-6}\text{ g}
  2. 2.

    What is the square root of 6.4×10−5 cm26.4 \times 10^{-5}\text{ cm}^2, expressed in standard scientific notation?

    • A) 2.5×10−2 cm2.5 \times 10^{-2}\text{ cm}
    • B) 8.0×10−4 cm8.0 \times 10^{-4}\text{ cm}
    • C) 2.5×10−3 cm2.5 \times 10^{-3}\text{ cm}
    • D) 8.0×10−3 cm8.0 \times 10^{-3}\text{ cm}
  3. 3.

    What is the quantity 512×10−6 g512 \times 10^{-6}\text{ g} expressed in standard scientific notation?

    • A) 5.12×10−8 g5.12 \times 10^{-8}\text{ g}
    • B) 51.2×10−5 g51.2 \times 10^{-5}\text{ g}
    • C) 5.12×10−4 g5.12 \times 10^{-4}\text{ g}
    • D) 5.12×10−6 g5.12 \times 10^{-6}\text{ g}
  4. 4.

    What is the value of 5.02×10−4 g5.02 \times 10^{-4}\text{ g} written in standard decimal notation?

    • A) 0.00502 g
    • B) 0.000502 g
    • C) 0.0000502 g
    • D) 0.0502 g
  5. 5.

    What is the result of evaluating (3.0×10−4 m)3(3.0 \times 10^{-4}\text{ m})^3, expressed in standard scientific notation?

    • A) 9.0×10−12 m39.0 \times 10^{-12}\text{ m}^3
    • B) 2.7×10−13 m32.7 \times 10^{-13}\text{ m}^3
    • C) 2.7×10−11 m32.7 \times 10^{-11}\text{ m}^3
    • D) 27×10−12 m327 \times 10^{-12}\text{ m}^3
  6. 6.

    What is the quotient of 1.5×10−2 mol1.5 \times 10^{-2}\text{ mol} divided by 5.0×10−5 L5.0 \times 10^{-5}\text{ L}, expressed in standard scientific notation?

    • A) 3.0×102 mol/L3.0 \times 10^{2}\text{ mol/L}
    • B) 3.0×103 mol/L3.0 \times 10^{3}\text{ mol/L}
    • C) 3.0×10−7 mol/L3.0 \times 10^{-7}\text{ mol/L}
    • D) 3.0×10−4 mol/L3.0 \times 10^{-4}\text{ mol/L}
  7. 7.

    What is the result of adding 3.2×10−4 g3.2 \times 10^{-4}\text{ g} and 5.0×10−5 g5.0 \times 10^{-5}\text{ g}, expressed in standard scientific notation?

    • A) 8.2×10−4 g8.2 \times 10^{-4}\text{ g}
    • B) 8.2×10−9 g8.2 \times 10^{-9}\text{ g}
    • C) 3.7×10−4 g3.7 \times 10^{-4}\text{ g}
    • D) 5.32×10−3 g5.32 \times 10^{-3}\text{ g}
  8. 8.

    What is the product of (5.0×10−4 mol/L)(5.0 \times 10^{-4}\text{ mol/L}) and (6.0×10−3 L)(6.0 \times 10^{-3}\text{ L}) expressed in standard scientific notation?

    • A) 3.0×10−7 mol3.0 \times 10^{-7}\text{ mol}
    • B) 3.0×10−6 mol3.0 \times 10^{-6}\text{ mol}
    • C) 30×10−7 mol30 \times 10^{-7}\text{ mol}
    • D) 3.0×10−5 mol3.0 \times 10^{-5}\text{ mol}
  9. 9.

    A chemist measures the mass of a synthesized catalyst as 0.0000450 g. What is this value expressed in standard scientific notation while retaining the correct number of significant figures?

    • A) 4.50×10−54.50 \times 10^{-5} g
    • B) 4.5×10−54.5 \times 10^{-5} g
    • C) 4.50×10−44.50 \times 10^{-4} g
    • D) 45.0×10−645.0 \times 10^{-6} g