george_nguyen
george_nguyen 1d ago โ€ข 0 views

Practical examples of writing very small numbers in scientific notation.

Hey everyone! ๐Ÿ‘‹ Let's tackle scientific notation for tiny numbers. It might seem tricky, but it's just a way to write really small values in a compact form. Get ready to learn and practice! ๐Ÿค“
๐Ÿงฎ Mathematics

1 Answers

โœ… Best Answer
User Avatar
kelly739 4d ago

๐Ÿ“š Quick Study Guide

  • ๐Ÿ”ข Scientific notation expresses numbers as $a \times 10^b$, where $1 \le |a| < 10$ and $b$ is an integer.
  • ๐Ÿ”ฌ For very small numbers, the exponent $b$ is negative. It indicates how many places to move the decimal point to the left to get the original number.
  • ๐Ÿ’ก To convert a small number to scientific notation: Move the decimal point until you have a number between 1 and 10. Count how many places you moved the decimal. If you moved it to the right, the exponent will be negative.
  • ๐Ÿ“ Example: 0.0005 becomes $5 \times 10^{-4}$ because you move the decimal 4 places to the right.
  • ๐Ÿงช Another Example: 0.00000321 becomes $3.21 \times 10^{-6}$ because you move the decimal 6 places to the right.

Practice Quiz

  1. What is 0.000015 written in scientific notation?
    1. $1.5 \times 10^{-5}$
    2. $1.5 \times 10^{5}$
    3. $15 \times 10^{-6}$
    4. $0.15 \times 10^{-4}$
  2. Express 0.0042 in scientific notation.
    1. $4.2 \times 10^{-3}$
    2. $4.2 \times 10^{3}$
    3. $42 \times 10^{-4}$
    4. $0.42 \times 10^{-2}$
  3. What is the scientific notation for 0.0000008?
    1. $8 \times 10^{-7}$
    2. $8 \times 10^{7}$
    3. $8 \times 10^{-6}$
    4. $0.8 \times 10^{-8}$
  4. Convert 0.0000901 to scientific notation.
    1. $9.01 \times 10^{-5}$
    2. $9.01 \times 10^{5}$
    3. $90.1 \times 10^{-6}$
    4. $0.901 \times 10^{-4}$
  5. Express 0.000000056 in scientific notation.
    1. $5.6 \times 10^{-8}$
    2. $5.6 \times 10^{8}$
    3. $56 \times 10^{-9}$
    4. $0.56 \times 10^{-7}$
  6. What is 0.000123 in scientific notation?
    1. $1.23 \times 10^{-4}$
    2. $1.23 \times 10^{4}$
    3. $12.3 \times 10^{-5}$
    4. $0.123 \times 10^{-3}$
  7. Convert 0.000004 to scientific notation.
    1. $4 \times 10^{-6}$
    2. $4 \times 10^{6}$
    3. $4 \times 10^{-5}$
    4. $0.4 \times 10^{-5}$
Click to see Answers
  1. A
  2. A
  3. A
  4. A
  5. A
  6. A
  7. A

Join the discussion

Please log in to post your answer.

Log In

Earn 2 Points for answering. If your answer is selected as the best, you'll get +20 Points! ๐Ÿš€