Scientific Notation and Metric Prefixes

Mathematics for Electronics

  • Question 1

    Write the following exponential expressions in expanded form:


    101 =


    102 =


    103 =


    104 =


    10−1 =


    10−2 =


    10−3 =


    10−4 =

    Reveal answer
  • Question 2

    Evaluate the following arithmetic expressions, expressing the answers in expanded form:


    3.6 ×102 =


    1.53 ×10−4 =


    8.2 ×101 =


    6 ×10−3 =

    Comment on the effect multiplication by a power of ten has on how a number is written.

    Reveal answer
  • Question 3

    Express the following numbers in scientific notation:


    0.00045 =


    23,000,000 =


    700,000,000,000 =


    0.00000000000000000001 =


    0.000098 =

    Reveal answer
  • Question 4

    Metric prefixes are nothing more than “shorthand” representations for certain powers of ten. Express the following quantities of mass (in units of grams) using metric prefixes rather than scientific notation, and complete the “index” of metric prefixes shown below:


    8.3 ×1018 g =


    3.91 ×1015 g =


    5.2 ×1012 g =


    9.3 ×109 g =


    6.7 ×106 g =


    6.8 ×103 g =


    4.5 ×102 g =


    8.11 ×101 g =


    2.1 ×10−1 g =


    1.9 ×10−2 g =


    9.32 ×10−3 g =


    1.58 ×10−6 g =


    8.80 ×10−9 g =


    6.9 ×10−12 g =


    7.2 ×10−15 g =


    4.1 ×10−18 g =



    Reveal answer
  • Question 5

    What is the difference between the following three values of mass (in kilograms)?


    4 ×102 kg


    4.5 ×102 kg


    4.500 ×102 kg

    Reveal answer

Related Content

  • Share

Published under the terms and conditions of the Creative Commons Attribution License