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Worksheet

Dividing in Scientific Notation

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  1. 1.
    Calculate (6×108)÷(2×103)(6 \times 10^8) \div (2 \times 10^3).
    1. a)3×10113 \times 10^{11}
    2. b)3×10−53 \times 10^{-5}
    3. c)4×1054 \times 10^5
    4. d)3×1053 \times 10^5
  2. 2.
    (9×107)÷(3×102)=3×10□(9 \times 10^7) \div (3 \times 10^2) = 3 \times 10^{\square}. What number goes in the box?
  3. 3.
    (8.4×106)÷(2×102)=□×104(8.4 \times 10^6) \div (2 \times 10^2) = \square \times 10^4. What number goes in the box?
  4. 4.
    Which rule gives the power of ten when you divide 10m÷10n10^m \div 10^n?
    1. a)10m−n10^{m-n}
    2. b)10m+n10^{m+n}
    3. c)10m⋅n10^{m \cdot n}
    4. d)10m÷n10^{m \div n}
  5. 5.
    Calculate (8×109)÷(4×105)(8 \times 10^9) \div (4 \times 10^5) step by step.
  6. 6.
    Calculate (4.5×106)÷(1.5×102)(4.5 \times 10^6) \div (1.5 \times 10^2) step by step.
  7. 7.
    Which is (2.8×109)÷(7×104)(2.8 \times 10^9) \div (7 \times 10^4) written correctly in scientific notation?
    1. a)4×1054 \times 10^5
    2. b)4×1064 \times 10^6
    3. c)4×1044 \times 10^4
    4. d)0.4×1040.4 \times 10^4
  8. 8.
    Calculate (2×103)÷(5×107)(2 \times 10^3) \div (5 \times 10^7) and write it as 4×10□4 \times 10^{\square}. What is the exponent?
  9. 9.
    (9×10−5)÷(3×10−8)=3×10□(9 \times 10^{-5}) \div (3 \times 10^{-8}) = 3 \times 10^{\square}. What number goes in the box?
  10. 10.
    Calculate (1.8×107)÷(6×103)(1.8 \times 10^7) \div (6 \times 10^3) and normalize the result.
  11. 11.
    Calculate (5×10−3)÷(2×104)(5 \times 10^{-3}) \div (2 \times 10^4).
  12. 12.
    A space probe is 9×10109 \times 10^{10} m from Earth. Radio signals travel at 3×1083 \times 10^8 m per second. How many seconds does a signal need to reach the probe?
  13. 13.
    What is (3×104)÷(6×10−2)(3 \times 10^4) \div (6 \times 10^{-2}) in scientific notation?
    1. a)5×1015 \times 10^1
    2. b)5×1055 \times 10^5
    3. c)5×1025 \times 10^2
    4. d)2×1062 \times 10^6
  14. 14.
    Calculate (2×109)÷(7×104)(2 \times 10^9) \div (7 \times 10^4) and write it in scientific notation with the coefficient rounded to 3 significant figures. What is the coefficient?
  15. 15.
    A region has 1.04×1071.04 \times 10^7 inhabitants on 5.2×1035.2 \times 10^3 km². How many people live on one km²?
  16. 16.
    A country with 9×1079 \times 10^7 inhabitants spends 4.5×10114.5 \times 10^{11} dollars a year on health care. How much is that per person?
  17. 17.
    A water drop has a mass of about 5×10−55 \times 10^{-5} kg, and one water molecule about 3×10−263 \times 10^{-26} kg. About how many molecules are in the drop?
  18. 18.
    What is (2.4×10−3)÷(8×10−9)(2.4 \times 10^{-3}) \div (8 \times 10^{-9}) in scientific notation?
    1. a)3×10−73 \times 10^{-7}
    2. b)3×1063 \times 10^6
    3. c)3×1053 \times 10^5
    4. d)3×10−123 \times 10^{-12}
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/arithmetic/scientific-notation/dividing-scientific
Today's challengeOne problem, three tries