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Writing Numbers in Scientific Notation: Classroom Packet

Grade 8 Algebra: Writing Numbers in Scientific Notation

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Large whole numbers

  1. 1. Write in scientific notation:
    50005000
  2. 2. Write in scientific notation:
    72 00072\,000
  3. 3. Write in scientific notation:
    300 000300\,000
  4. 4. Write in scientific notation:
    4 500 0004\,500\,000
  5. 5. Write in scientific notation:
    860860
  6. 6. Write in scientific notation:
    91 000 00091\,000\,000
  7. 7. Write in scientific notation:
    620 000620\,000
  8. 8. Write in scientific notation:
    2 300 000 0002\,300\,000\,000

Answer Key

Level 1

  1. 1. 5×1035 \times 10^3
  2. 2. 7.2×1047.2 \times 10^4
  3. 3. 3×1053 \times 10^5
  4. 4. 4.5×1064.5 \times 10^6
  5. 5. 8.6×1028.6 \times 10^2
  6. 6. 9.1×1079.1 \times 10^7
  7. 7. 6.2×1056.2 \times 10^5
  8. 8. 2.3×1092.3 \times 10^9

Grade 8 Algebra: Writing Numbers in Scientific Notation

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Small decimals

  1. 1. Write in scientific notation:
    0.0040.004
  2. 2. Write in scientific notation:
    0.060.06
  3. 3. Write in scientific notation:
    0.000570.00057
  4. 4. Write in scientific notation:
    0.30.3
  5. 5. Write in scientific notation:
    0.00000820.0000082
  6. 6. Write in scientific notation:
    0.0001090.000109
  7. 7. Write in scientific notation:
    0.00910.0091
  8. 8. Write in scientific notation:
    0.000000060.00000006

Answer Key

Level 2

  1. 1. 4×10−34 \times 10^{-3}
  2. 2. 6×10−26 \times 10^{-2}
  3. 3. 5.7×10−45.7 \times 10^{-4}
  4. 4. 3×10−13 \times 10^{-1}
  5. 5. 8.2×10−68.2 \times 10^{-6}
  6. 6. 1.09×10−41.09 \times 10^{-4}
  7. 7. 9.1×10−39.1 \times 10^{-3}
  8. 8. 6×10−86 \times 10^{-8}

Grade 8 Algebra: Writing Numbers in Scientific Notation

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Mixed numbers and non-standard form

  1. 1. Write in scientific notation:
    34×10534 \times 10^5
  2. 2. Write in scientific notation:
    0.6×1040.6 \times 10^{4}
  3. 3. Write in scientific notation:
    250×10−6250 \times 10^{-6}
  4. 4. Write in scientific notation:
    0.075×10−20.075 \times 10^{-2}
  5. 5. Write in scientific notation:
    6 020 000 0006\,020\,000\,000
  6. 6. Write in scientific notation:
    0.00000004050.0000000405
  7. 7. Write in scientific notation:
    0.48×1070.48 \times 10^{7}
  8. 8. Write in scientific notation:
    5200×10−95200 \times 10^{-9}

Answer Key

Level 3

  1. 1. 3.4×1063.4 \times 10^6
  2. 2. 6×1036 \times 10^3
  3. 3. 2.5×10−42.5 \times 10^{-4}
  4. 4. 7.5×10−47.5 \times 10^{-4}
  5. 5. 6.02×1096.02 \times 10^9
  6. 6. 4.05×10−84.05 \times 10^{-8}
  7. 7. 4.8×1064.8 \times 10^6
  8. 8. 5.2×10−65.2 \times 10^{-6}