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Worksheet

Multiplying in Scientific Notation

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Show your work for each problem.

  1. 1.
    Which is the product (2×103)(3×104)(2 \times 10^3)(3 \times 10^4)?
    1. a)6×1076 \times 10^{7}
    2. b)6×10126 \times 10^{12}
    3. c)5×1075 \times 10^{7}
    4. d)6×1016 \times 10^{1}
  2. 2.
    104×106=10□10^4 \times 10^6 = 10^{\square}. What number goes in the box?
  3. 3.
    (3×105)(2×102)=□×107(3 \times 10^5)(2 \times 10^2) = \square \times 10^7. What number goes in the box?
  4. 4.
    When you multiply 10m×10n10^m \times 10^n, what do you do with the exponents?
    1. a)Subtract them
    2. b)Keep the larger one
    3. c)Add them
    4. d)Multiply them
  5. 5.
    Calculate (4×102)(2×105)(4 \times 10^{2})(2 \times 10^{5}).
  6. 6.
    Calculate (1.5×103)(3×104)(1.5 \times 10^{3})(3 \times 10^{4}).
  7. 7.
    (6×102)(4×106)=24×108(6 \times 10^2)(4 \times 10^6) = 24 \times 10^8. In scientific notation this is 2.4×10□2.4 \times 10^{\square}. What number goes in the box?
  8. 8.
    Which is (6×104)(5×103)(6 \times 10^4)(5 \times 10^3) written in scientific notation?
    1. a)30×10730 \times 10^{7}
    2. b)3×1083 \times 10^{8}
    3. c)3×10123 \times 10^{12}
    4. d)3×1073 \times 10^{7}
  9. 9.
    Calculate (5×10−4)(6×10−3)(5 \times 10^{-4})(6 \times 10^{-3}) and write the result in scientific notation.
  10. 10.
    Calculate (2.5×10−6)(8×109)(2.5 \times 10^{-6})(8 \times 10^{9}) and write the result in scientific notation.
  11. 11.
    (7×10−5)(2×109)=1.4×10□(7 \times 10^{-5})(2 \times 10^{9}) = 1.4 \times 10^{\square}. What number goes in the box?
  12. 12.
    Which is (3×104)2(3 \times 10^4)^2?
    1. a)6×1086 \times 10^{8}
    2. b)9×1089 \times 10^{8}
    3. c)9×1069 \times 10^{6}
    4. d)3×1083 \times 10^{8}
  13. 13.
    Calculate (8×105)(9×10−2)(8 \times 10^{5})(9 \times 10^{-2}) and write the result in scientific notation.
  14. 14.
    Calculate (4×10−3)2(4 \times 10^{-3})^2 and write the result in scientific notation.
  15. 15.
    Light travels 3×1083 \times 10^8 meters per second. Light from the Sun needs about 5×1025 \times 10^2 seconds to reach the Earth. The distance is 1.5×10□1.5 \times 10^{\square} meters. What number goes in the box?
  16. 16.
    Calculate (2×103)(5×104)(3×10−2)(2 \times 10^{3})(5 \times 10^{4})(3 \times 10^{-2}) and write the result in scientific notation.
  17. 17.
    A cell is 8×10−68 \times 10^{-6} m wide. How long is a row of 5×1045 \times 10^4 cells placed side by side?
    1. a)4×10−24 \times 10^{-2} m
    2. b)4×10−14 \times 10^{-1} m
    3. c)4×10−244 \times 10^{-24} m
    4. d)4×10104 \times 10^{10} m
  18. 18.
    Calculate (6×10−4)2(6 \times 10^{-4})^2 and write the result in scientific notation.
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/arithmetic/scientific-notation/multiplying-scientific
Today's challengeOne problem, three tries