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Multiplying and Dividing in Scientific Notation: Classroom Packet

Grade 8 Algebra: Multiplying and Dividing in Scientific Notation

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Multiplying

  1. 1. Multiply. Write in scientific notation:
    (2×103)(3×104)(2 \times 10^3)(3 \times 10^4)
  2. 2. Multiply. Write in scientific notation:
    (4×102)(2×105)(4 \times 10^2)(2 \times 10^5)
  3. 3. Multiply. Write in scientific notation:
    (1.5×106)(3×102)(1.5 \times 10^6)(3 \times 10^2)
  4. 4. Multiply. Write in scientific notation:
    (3×10−2)(3×105)(3 \times 10^{-2})(3 \times 10^5)
  5. 5. Multiply. Write in scientific notation:
    (2.2×10−3)(4×10−1)(2.2 \times 10^{-3})(4 \times 10^{-1})
  6. 6. Multiply. Write in scientific notation:
    (1.1×104)(7×10−6)(1.1 \times 10^4)(7 \times 10^{-6})
  7. 7. Multiply. Write in scientific notation:
    (2×107)(4.5×101)(2 \times 10^{7})(4.5 \times 10^{1})
  8. 8. Multiply. Write in scientific notation:
    (3.1×10−4)(2×10−3)(3.1 \times 10^{-4})(2 \times 10^{-3})

Answer Key

Level 1

  1. 1. 6×1076 \times 10^7
  2. 2. 8×1078 \times 10^7
  3. 3. 4.5×1084.5 \times 10^8
  4. 4. 9×1039 \times 10^3
  5. 5. 8.8×10−48.8 \times 10^{-4}
  6. 6. 7.7×10−27.7 \times 10^{-2}
  7. 7. 9×1089 \times 10^8
  8. 8. 6.2×10−76.2 \times 10^{-7}

Grade 8 Algebra: Multiplying and Dividing in Scientific Notation

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Dividing

  1. 1. Divide. Write in scientific notation:
    8×1062×102\dfrac{8 \times 10^6}{2 \times 10^2}
  2. 2. Divide. Write in scientific notation:
    9×1083×105\dfrac{9 \times 10^8}{3 \times 10^5}
  3. 3. Divide. Write in scientific notation:
    6.4×1052×10−2\dfrac{6.4 \times 10^5}{2 \times 10^{-2}}
  4. 4. Divide. Write in scientific notation:
    7.5×10−32.5×102\dfrac{7.5 \times 10^{-3}}{2.5 \times 10^{2}}
  5. 5. Divide. Write in scientific notation:
    4.8×10−41.2×10−7\dfrac{4.8 \times 10^{-4}}{1.2 \times 10^{-7}}
  6. 6. Divide. Write in scientific notation:
    9.9×10103.3×104\dfrac{9.9 \times 10^{10}}{3.3 \times 10^{4}}
  7. 7. Divide. Write in scientific notation:
    8.4×1034×105\dfrac{8.4 \times 10^{3}}{4 \times 10^{5}}
  8. 8. Divide. Write in scientific notation:
    6×10−21.5×10−6\dfrac{6 \times 10^{-2}}{1.5 \times 10^{-6}}

Answer Key

Level 2

  1. 1. 4×1044 \times 10^4
  2. 2. 3×1033 \times 10^3
  3. 3. 3.2×1073.2 \times 10^7
  4. 4. 3×10−53 \times 10^{-5}
  5. 5. 4×1034 \times 10^3
  6. 6. 3×1063 \times 10^6
  7. 7. 2.1×10−22.1 \times 10^{-2}
  8. 8. 4×1044 \times 10^4

Grade 8 Algebra: Multiplying and Dividing in Scientific Notation

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Adjusting the answer to scientific notation

  1. 1. Multiply. Write in scientific notation:
    (5×103)(4×102)(5 \times 10^3)(4 \times 10^2)
  2. 2. Multiply. Write in scientific notation:
    (6×10−4)(7×109)(6 \times 10^{-4})(7 \times 10^{9})
  3. 3. Multiply. Write in scientific notation:
    (2.5×10−3)(8×10−2)(2.5 \times 10^{-3})(8 \times 10^{-2})
  4. 4. Divide. Write in scientific notation:
    2×1058×102\dfrac{2 \times 10^5}{8 \times 10^2}
  5. 5. Divide. Write in scientific notation:
    1.2×10−34×10−6\dfrac{1.2 \times 10^{-3}}{4 \times 10^{-6}}
  6. 6. Simplify. Write in scientific notation:
    (3×104)(6×105)9×103\dfrac{(3 \times 10^4)(6 \times 10^5)}{9 \times 10^{3}}
  7. 7. Multiply. Write in scientific notation:
    (9×105)(9×10−2)(9 \times 10^{5})(9 \times 10^{-2})
  8. 8. Divide. Write in scientific notation:
    3×1046×10−3\dfrac{3 \times 10^{4}}{6 \times 10^{-3}}

Answer Key

Level 3

  1. 1. 2×1062 \times 10^6
  2. 2. 4.2×1064.2 \times 10^6
  3. 3. 2×10−42 \times 10^{-4}
  4. 4. 2.5×1022.5 \times 10^2
  5. 5. 3×1023 \times 10^2
  6. 6. 2×1062 \times 10^6
  7. 7. 8.1×1048.1 \times 10^4
  8. 8. 5×1065 \times 10^6