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Lesson 37: Using Scientific Notation — Practice Questions

  1. 1. Find the product of $(3.2 \times 10^3)$ and $(2.0 \times 10^5)$. Express the answer in scientific notation: ___.

  2. 2. What is the product of $(7.0 \times 10^4)$ and $(4.0 \times 10^5)$ expressed in proper scientific notation?

    • A. $28.0 \times 10^9$
    • B. $2.8 \times 10^9$
    • C. $2.8 \times 10^{10}$
    • D. $2.8 \times 10^{20}$
  3. 3. Calculate $(3.5 \times 10^7)(5.0 \times 10^2)$ and write the answer in proper scientific notation. ___

  4. 4. Find the value of $(4.4 \times 10^8) \times (2.0 \times 10^{-3})$. Write the answer in scientific notation.

    • A. $8.8 \times 10^5$
    • B. $8.8 \times 10^{11}$
    • C. $8.8 \times 10^{-24}$
    • D. $6.4 \times 10^5$
  5. 5. A student multiplies $(8.0 \times 10^3)$ and $(3.0 \times 10^4)$ and gets an initial result of $24.0 \times 10^7$. What is the final answer in proper scientific notation?

    • A. $24.0 \times 10^7$
    • B. $2.4 \times 10^7$
    • C. $2.4 \times 10^8$
    • D. $24.0 \times 10^{12}$
  6. 6. The estimated population of a city is 3,450,000. Write this number in scientific notation in the form $a \times 10^n$. The value of $a$ is ___.

  7. 7. The width of a very thin wire is 0.000097 meters. When this measurement is written in scientific notation as $9.7 \times 10^n$, what is the value of the integer $n$? ___

  8. 8. Which of the following numbers is NOT written in proper scientific notation?

    • A. $2.5 \times 10^8$
    • B. $8.0 \times 10^{-5}$
    • C. $0.99 \times 10^4$
    • D. $1.001 \times 10^{-2}$
  9. 9. The number of stars in a small galaxy is estimated to be 219,000,000. How is this number expressed in scientific notation?

    • A. $2.19 \times 10^8$
    • B. $21.9 \times 10^7$
    • C. $2.19 \times 10^7$
    • D. $219 \times 10^6$
  10. 10. A standard sheet of paper has a thickness of approximately $0.0001$ meters. Express this thickness in scientific notation as $1 \times 10^n$. The value of $n$ is ___.