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Scientific notation Knowledge-Based Practice

Chemistry · Introduction to Chemistry · Chemistry · Measurement & Units

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

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Questions

  1. 1.

    When a positive measurement is expressed in standard scientific notation as M×10nM \times 10^n, which mathematical condition must the coefficient MM satisfy?

    • A) 1≤M<101 \le M < 10
    • B) 0.1≤M<10.1 \le M < 1
    • C) 1<M≤101 < M \le 10
    • D) 0<M≤10 < M \le 1
  2. 2.

    Which of the following measurements represents the smallest volume?

    • A) 9.5×10−69.5 \times 10^{-6} L
    • B) 1.2×10−51.2 \times 10^{-5} L
    • C) 7.4×10−57.4 \times 10^{-5} L
    • D) 3.1×10−43.1 \times 10^{-4} L
  3. 3.

    Which of the following expresses the measurement 2.080×10−3 L2.080 \times 10^{-3}\text{ L} in standard decimal notation?

    • A) 0.02080 L
    • B) 0.00208 L
    • C) 0.002080 L
    • D) 0.0002080 L
  4. 4.

    Which of the following correctly expresses the measurement 315.4×10−6315.4 \times 10^{-6} mol in standard scientific notation?

    • A) 3.154×10−83.154 \times 10^{-8} mol
    • B) 31.54×10−531.54 \times 10^{-5} mol
    • C) 3.154×10−23.154 \times 10^{-2} mol
    • D) 3.154×10−43.154 \times 10^{-4} mol
  5. 5.

    What is the result of subtracting 7.0×10−57.0 \times 10^{-5} mol from 8.20×10−48.20 \times 10^{-4} mol expressed in standard scientific notation?

    • A) 1.20×10−41.20 \times 10^{-4} mol
    • B) 7.50×10−47.50 \times 10^{-4} mol
    • C) 7.50×10−57.50 \times 10^{-5} mol
    • D) 8.13×10−48.13 \times 10^{-4} mol
  6. 6.

    What is the value of (4.0×10−3 cm)2(4.0 \times 10^{-3}\text{ cm})^2 expressed in standard scientific notation?

    • A) 1.6×10−6 cm21.6 \times 10^{-6}\text{ cm}^2
    • B) 1.6×10−5 cm21.6 \times 10^{-5}\text{ cm}^2
    • C) 16×10−6 cm216 \times 10^{-6}\text{ cm}^2
    • D) 1.6×10−9 cm21.6 \times 10^{-9}\text{ cm}^2
  7. 7.

    What is the product of 6.0×104 L6.0 \times 10^4\text{ L} and 8.0×10−9 mol/L8.0 \times 10^{-9}\text{ mol/L} expressed in standard scientific notation?

    • A) 4.8×10−4 mol4.8 \times 10^{-4}\text{ mol}
    • B) 48×10−5 mol48 \times 10^{-5}\text{ mol}
    • C) 4.8×10−5 mol4.8 \times 10^{-5}\text{ mol}
    • D) 4.8×10−6 mol4.8 \times 10^{-6}\text{ mol}
  8. 8.

    What is the sum of 4.50×10−3 mol4.50 \times 10^{-3}\text{ mol} and 2.5×10−4 mol2.5 \times 10^{-4}\text{ mol} expressed in standard scientific notation?

    • A) 7.00×10−3 mol7.00 \times 10^{-3}\text{ mol}
    • B) 4.75×10−3 mol4.75 \times 10^{-3}\text{ mol}
    • C) 4.75×10−4 mol4.75 \times 10^{-4}\text{ mol}
    • D) 4.75×10−7 mol4.75 \times 10^{-7}\text{ mol}
  9. 9.

    What is the quotient of 7.2×10−3 g7.2 \times 10^{-3}\text{ g} divided by 1.8×10−6 mL1.8 \times 10^{-6}\text{ mL} expressed in standard scientific notation?

    • A) 4.0×10−9 g/mL4.0 \times 10^{-9}\text{ g/mL}
    • B) 5.4×103 g/mL5.4 \times 10^3\text{ g/mL}
    • C) 4.0×10−3 g/mL4.0 \times 10^{-3}\text{ g/mL}
    • D) 4.0×103 g/mL4.0 \times 10^3\text{ g/mL}
  10. 10.

    A laboratory balance records the mass of a chemical precipitate as 0.0004050 g. Which of the following correctly expresses this measurement in standard scientific notation?

    • A) 4.05×10−44.05 \times 10^{-4} g
    • B) 4.050×10−34.050 \times 10^{-3} g
    • C) 4.050×10−44.050 \times 10^{-4} g
    • D) 40.50×10−540.50 \times 10^{-5} g

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