Scientific Notation (Standard Form) | āĻŦ⧈āĻœā§āĻžāĻžāύāĻŋāĻ• āϏāĻ‚āϕ⧇āϤ (Scientific Notation)


Scientific Notation (Standard Form) | āĻŦ⧈āĻœā§āĻžāĻžāύāĻŋāĻ• āϏāĻ‚āϕ⧇āϤ (Scientific Notation)


1. Write 4,800,000 in scientific notation. (4,800,000-āĻ• Scientific Notation-āϤ āϞāĻŋāĻ–āĻžāĨ¤)


Solution:āϏāĻŽāĻžāϧāĻžāύ:



  • Move the decimal point 6 places to the left. (āĻĻāĻļāĻŽāĻŋāĻ• āĻŦāĻŋāĻ¨ā§āĻĻ⧁āĻŸā§‹ ā§Ŧ āϘ⧰ āĻŦāĻžāρāĻ“āĻĢāĻžāϞ⧇ āĻ¸ā§āĻĨāĻžāύāĻžāĻ¨ā§āϤ⧰ āϕ⧰āĻ•āĨ¤)

  • 4,800,000 = 4.8 × 10âļ


Ans (āωāĻ¤ā§āϤ⧰): 4.8 × 10âļ


2. Write 0.00056 in scientific notation. (0.00056-āĻ• Scientific Notation-āϤ āϞāĻŋāĻ–āĻžāĨ¤)


Solution:āϏāĻŽāĻžāϧāĻžāύ:



  • Move the decimal point 4 places to the right.(āĻĻāĻļāĻŽāĻŋāĻ• āĻŦāĻŋāĻ¨ā§āĻĻ⧁āĻŸā§‹ ā§Ē āϘ⧰ āϏ⧋āρāĻĢāĻžāϞ⧇ āĻ¸ā§āĻĨāĻžāύāĻžāĻ¨ā§āϤ⧰ āϕ⧰āĻ•āĨ¤)

  • Since the decimal moves to the right, the exponent is negative.(āϏ⧋āρāĻĢāĻžāϞ⧇ āĻ¸ā§āĻĨāĻžāύāĻžāĻ¨ā§āϤ⧰ āϕ⧰āĻžā§° āĻŦāĻžāĻŦ⧇ āϏ⧂āϚāĻ• (exponent) āĻ‹āĻŖāĻžāĻ¤ā§āĻŽāĻ• (-) āĻš'āĻŦāĨ¤)

  • 0.00056 = 5.6 × 10−4


 Ans (āωāĻ¤ā§āϤ⧰): 5.6 × 10−4


3. Write 7.2 × 10âĩ in standard form. (7.2 × 10âĩ-āĻ• āϏāĻžāϧāĻžā§°āĻŖ ā§°ā§‚āĻĒāϤ (Standard Form) āϞāĻŋāĻ–āĻžāĨ¤)


Solution:āϏāĻŽāĻžāϧāĻžāύ



  • Move the decimal point 5 places to the right. (āĻĻāĻļāĻŽāĻŋāĻ• āĻŦāĻŋāĻ¨ā§āĻĻ⧁āĻŸā§‹ ā§Ģ āϘ⧰ āϏ⧋āρāĻĢāĻžāϞ⧇ āĻ¸ā§āĻĨāĻžāύāĻžāĻ¨ā§āϤ⧰ āϕ⧰āĻ•āĨ¤)

  • 7.2 × 105 = 720000


Ans (āωāĻ¤ā§āϤ⧰): 720000


4. Which is greater: 3.4 × 10âĩ or 2.9 × 10âļ ? (3.4 × 10âĩ āφ⧰⧁ 2.9 × 10âļ-ā§° āĻ­āĻŋāϤ⧰āϤ āϕ⧋āύāĻŸā§‹ āĻĄāĻžāϙ⧰ ?)


Solution:āϏāĻŽāĻžāϧāĻžāύ



  • Compare the exponents.(āϏ⧂āϚāĻ• (exponent) āϤ⧁āϞāύāĻž āϕ⧰āĻ•āĨ¤)

  • Since 10âļ > 10âĩ, 2.9 × 10âļ is greater. (āϝāĻŋāĻšā§‡āϤ⧁ 10âļ > 10âĩ, āϏ⧇āϝāĻŧ⧇ 2.9 × 10âļ āĻĄāĻžāϙ⧰āĨ¤) 


Ans (āωāĻ¤ā§āϤ⧰): 2.9 × 10âļ


5. Multiply (āϗ⧁āĻŖāĻĢāϞ āύāĻŋā§°ā§āĻŖāϝāĻŧ āϕ⧰āĻ•) (2 × 10³)(4 × 10²).


Solution:āϏāĻŽāĻžāϧāĻžāύ



  • Multiply the numbers(āϏāĻ‚āĻ–ā§āϝāĻžāĻŦā§‹ā§° āϗ⧁āĻŖ āϕ⧰āĻ•): 2 × 4 = 8

  • Add the exponents:(āϏ⧂āϚāĻ•āĻŦā§‹ā§° āϝ⧋āĻ— āϕ⧰āĻ•): 10³ × 10² = 10âĩ

  • Therefore, āϏ⧇āϝāĻŧ⧇, (2 × 103)(4 × 102) = 8 × 105


Ans (āωāĻ¤ā§āϤ⧰): 8 × 10âĩ