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Adding and Subtracting in Scientific Notation: Classroom Packet

Grade 8 Algebra: Adding and Subtracting in Scientific Notation

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Same power of 10

  1. 1. Add or subtract. Write in scientific notation:
    (3×104)+(5×104)(3 \times 10^4) + (5 \times 10^4)
  2. 2. Add or subtract. Write in scientific notation:
    (7.2×105)−(2.1×105)(7.2 \times 10^5) - (2.1 \times 10^5)
  3. 3. Add or subtract. Write in scientific notation:
    (1.4×103)+(4.3×103)(1.4 \times 10^3) + (4.3 \times 10^3)
  4. 4. Add or subtract. Write in scientific notation:
    (9.6×107)−(3.6×107)(9.6 \times 10^7) - (3.6 \times 10^7)
  5. 5. Add or subtract. Write in scientific notation:
    (2.05×102)+(3.4×102)(2.05 \times 10^2) + (3.4 \times 10^2)
  6. 6. Add or subtract. Write in scientific notation:
    (8×106)−(2.5×106)(8 \times 10^6) - (2.5 \times 10^6)
  7. 7. Add or subtract. Write in scientific notation:
    (6.3×109)+(2.6×109)(6.3 \times 10^{9}) + (2.6 \times 10^{9})
  8. 8. Add or subtract. Write in scientific notation:
    (4.75×103)−(1.5×103)(4.75 \times 10^{3}) - (1.5 \times 10^{3})

Answer Key

Level 1

  1. 1. 8×1048 \times 10^4
  2. 2. 5.1×1055.1 \times 10^5
  3. 3. 5.7×1035.7 \times 10^3
  4. 4. 6×1076 \times 10^7
  5. 5. 5.45×1025.45 \times 10^2
  6. 6. 5.5×1065.5 \times 10^6
  7. 7. 8.9×1098.9 \times 10^9
  8. 8. 3.25×1033.25 \times 10^3

Grade 8 Algebra: Adding and Subtracting in Scientific Notation

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Different powers of 10

  1. 1. Add or subtract. Write in scientific notation:
    (3×105)+(2×104)(3 \times 10^5) + (2 \times 10^4)
  2. 2. Add or subtract. Write in scientific notation:
    (6.5×106)−(5×105)(6.5 \times 10^6) - (5 \times 10^5)
  3. 3. Add or subtract. Write in scientific notation:
    (4.1×103)+(9×102)(4.1 \times 10^3) + (9 \times 10^2)
  4. 4. Add or subtract. Write in scientific notation:
    (1.2×108)−(3×106)(1.2 \times 10^8) - (3 \times 10^6)
  5. 5. Add or subtract. Write in scientific notation:
    (7×104)+(6×102)(7 \times 10^4) + (6 \times 10^2)
  6. 6. Add or subtract. Write in scientific notation:
    (5.5×105)−(5×104)(5.5 \times 10^5) - (5 \times 10^4)
  7. 7. Add or subtract. Write in scientific notation:
    (2.4×106)+(3×105)(2.4 \times 10^{6}) + (3 \times 10^{5})
  8. 8. Add or subtract. Write in scientific notation:
    (9×103)−(4×102)(9 \times 10^{3}) - (4 \times 10^{2})

Answer Key

Level 2

  1. 1. 3.2×1053.2 \times 10^5
  2. 2. 6×1066 \times 10^6
  3. 3. 5×1035 \times 10^3
  4. 4. 1.17×1081.17 \times 10^8
  5. 5. 7.06×1047.06 \times 10^4
  6. 6. 5×1055 \times 10^5
  7. 7. 2.7×1062.7 \times 10^6
  8. 8. 8.6×1038.6 \times 10^3

Grade 8 Algebra: Adding and Subtracting in Scientific Notation

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Negative exponents and regrouping

  1. 1. Add or subtract. Write in scientific notation:
    (4×10−3)+(3×10−3)(4 \times 10^{-3}) + (3 \times 10^{-3})
  2. 2. Add or subtract. Write in scientific notation:
    (6×10−2)−(4×10−3)(6 \times 10^{-2}) - (4 \times 10^{-3})
  3. 3. Add or subtract. Write in scientific notation:
    (8×104)+(5×104)(8 \times 10^4) + (5 \times 10^4)
  4. 4. Add or subtract. Write in scientific notation:
    (2×10−5)+(9×10−6)(2 \times 10^{-5}) + (9 \times 10^{-6})
  5. 5. Add or subtract. Write in scientific notation:
    (1.5×103)−(9×102)(1.5 \times 10^3) - (9 \times 10^2)
  6. 6. Add or subtract. Write in scientific notation:
    (9.5×106)+(8×105)(9.5 \times 10^6) + (8 \times 10^5)
  7. 7. Add or subtract. Write in scientific notation:
    (7×10−4)−(5×10−5)(7 \times 10^{-4}) - (5 \times 10^{-5})
  8. 8. Add or subtract. Write in scientific notation:
    (6.5×102)+(4.5×102)(6.5 \times 10^{2}) + (4.5 \times 10^{2})

Answer Key

Level 3

  1. 1. 7×10−37 \times 10^{-3}
  2. 2. 5.6×10−25.6 \times 10^{-2}
  3. 3. 1.3×1051.3 \times 10^5
  4. 4. 2.9×10−52.9 \times 10^{-5}
  5. 5. 6×1026 \times 10^2
  6. 6. 1.03×1071.03 \times 10^7
  7. 7. 6.5×10−46.5 \times 10^{-4}
  8. 8. 1.1×1031.1 \times 10^3