← Back to Topic 5

Converting to Standard Form: Classroom Packet

Grade 8 Algebra: Converting to Standard Form

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Positive exponents

  1. 1. Write in standard form:
    3×1043 \times 10^4
  2. 2. Write in standard form:
    6.1×1026.1 \times 10^2
  3. 3. Write in standard form:
    2.45×1052.45 \times 10^5
  4. 4. Write in standard form:
    9×1069 \times 10^6
  5. 5. Write in standard form:
    1.8×1031.8 \times 10^3
  6. 6. Write in standard form:
    7.07×1077.07 \times 10^7
  7. 7. Write in standard form:
    4.6×1014.6 \times 10^1
  8. 8. Write in standard form:
    3.002×1043.002 \times 10^4

Answer Key

Level 1

  1. 1. 30 00030\,000
  2. 2. 610610
  3. 3. 245 000245\,000
  4. 4. 9 000 0009\,000\,000
  5. 5. 18001800
  6. 6. 70 700 00070\,700\,000
  7. 7. 4646
  8. 8. 30 02030\,020

Grade 8 Algebra: Converting to Standard Form

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Negative exponents

  1. 1. Write in standard form:
    4×10−24 \times 10^{-2}
  2. 2. Write in standard form:
    5.3×10−35.3 \times 10^{-3}
  3. 3. Write in standard form:
    8×10−18 \times 10^{-1}
  4. 4. Write in standard form:
    1.25×10−41.25 \times 10^{-4}
  5. 5. Write in standard form:
    6.9×10−66.9 \times 10^{-6}
  6. 6. Write in standard form:
    2.004×10−22.004 \times 10^{-2}
  7. 7. Write in standard form:
    7.1×10−57.1 \times 10^{-5}
  8. 8. Write in standard form:
    9.99×10−39.99 \times 10^{-3}

Answer Key

Level 2

  1. 1. 0.040.04
  2. 2. 0.00530.0053
  3. 3. 0.80.8
  4. 4. 0.0001250.000125
  5. 5. 0.00000690.0000069
  6. 6. 0.020040.02004
  7. 7. 0.0000710.000071
  8. 8. 0.009990.00999

Grade 8 Algebra: Converting to Standard Form

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Comparing and ordering

  1. 1. Which is greater?:
    3×105  or  9×1043 \times 10^5 \;\text{or}\; 9 \times 10^4
  2. 2. Which is greater?:
    2.1×10−3  or  8×10−42.1 \times 10^{-3} \;\text{or}\; 8 \times 10^{-4}
  3. 3. Which is greater?:
    4.5×106  or  4.05×1064.5 \times 10^{6} \;\text{or}\; 4.05 \times 10^{6}
  4. 4. Order from least to greatest:
    6×102,  5×103,  7×10−16 \times 10^2,\; 5 \times 10^3,\; 7 \times 10^{-1}
  5. 5. Order from least to greatest:
    1.2×10−2,  9.8×10−3,  1.02×10−21.2 \times 10^{-2},\; 9.8 \times 10^{-3},\; 1.02 \times 10^{-2}
  6. 6. How many times greater is the first number?:
    8×107  than  2×1048 \times 10^7 \;\text{than}\; 2 \times 10^4
  7. 7. Which is greater?:
    5×10−2  or  5×10−35 \times 10^{-2} \;\text{or}\; 5 \times 10^{-3}
  8. 8. How many times greater is the first number?:
    6×105  than  3×10−16 \times 10^{5} \;\text{than}\; 3 \times 10^{-1}

Answer Key

Level 3

  1. 1. 3×1053 \times 10^5
  2. 2. 2.1×10−32.1 \times 10^{-3}
  3. 3. 4.5×1064.5 \times 10^{6}
  4. 4. 7×10−1, 6×102, 5×1037 \times 10^{-1},\, 6 \times 10^2,\, 5 \times 10^3
  5. 5. 9.8×10−3, 1.02×10−2, 1.2×10−29.8 \times 10^{-3},\, 1.02 \times 10^{-2},\, 1.2 \times 10^{-2}
  6. 6. 4×103=40004 \times 10^3 = 4000
  7. 7. 5×10−25 \times 10^{-2}
  8. 8. 2×1062 \times 10^6