Scientific Notation (Standard Form) | āĻŦā§āĻā§āĻāĻžāύāĻŋāĻ āϏāĻāĻā§āϤ (Scientific Notation)
Scientific Notation (Standard Form) | āĻŦā§āĻā§āĻāĻžāύāĻŋāĻ āϏāĻāĻā§āϤ (Scientific Notation)
1. Write 4,800,000 in scientific notation. (4,800,000-āĻ Scientific Notation-āϤ āϞāĻŋāĻāĻžāĨ¤)
Solution:āϏāĻŽāĻžāϧāĻžāύ:
- Move the decimal point 6 places to the left. (āĻĻāĻļāĻŽāĻŋāĻ āĻŦāĻŋāύā§āĻĻā§āĻā§ ā§Ŧ āĻā§° āĻŦāĻžāĻāĻāĻĢāĻžāϞ⧠āϏā§āĻĨāĻžāύāĻžāύā§āϤ⧰ āĻā§°āĻāĨ¤)
- 4,800,000 = 4.8 × 10âļ
Ans (āĻāϤā§āϤ⧰): 4.8 × 10âļ
2. Write 0.00056 in scientific notation. (0.00056-āĻ Scientific Notation-āϤ āϞāĻŋāĻāĻžāĨ¤)
Solution:āϏāĻŽāĻžāϧāĻžāύ:
- Move the decimal point 4 places to the right.(āĻĻāĻļāĻŽāĻŋāĻ āĻŦāĻŋāύā§āĻĻā§āĻā§ ā§Ē āĻā§° āϏā§āĻāĻĢāĻžāϞ⧠āϏā§āĻĨāĻžāύāĻžāύā§āϤ⧰ āĻā§°āĻāĨ¤)
- Since the decimal moves to the right, the exponent is negative.(āϏā§āĻāĻĢāĻžāϞ⧠āϏā§āĻĨāĻžāύāĻžāύā§āϤ⧰ āĻā§°āĻžā§° āĻŦāĻžāĻŦā§ āϏā§āĻāĻ (exponent) āĻāĻŖāĻžāϤā§āĻŽāĻ (-) āĻš'āĻŦāĨ¤)
- 0.00056 = 5.6 × 10−4
Ans (āĻāϤā§āϤ⧰): 5.6 × 10−4
3. Write 7.2 × 10âĩ in standard form. (7.2 × 10âĩ-āĻ āϏāĻžāϧāĻžā§°āĻŖ ā§°ā§āĻĒāϤ (Standard Form) āϞāĻŋāĻāĻžāĨ¤)
Solution:āϏāĻŽāĻžāϧāĻžāύ
- Move the decimal point 5 places to the right. (āĻĻāĻļāĻŽāĻŋāĻ āĻŦāĻŋāύā§āĻĻā§āĻā§ ā§Ģ āĻā§° āϏā§āĻāĻĢāĻžāϞ⧠āϏā§āĻĨāĻžāύāĻžāύā§āϤ⧰ āĻā§°āĻāĨ¤)
- 7.2 × 105 = 720000
Ans (āĻāϤā§āϤ⧰): 720000
4. Which is greater: 3.4 × 10âĩ or 2.9 × 10âļ ? (3.4 × 10âĩ āĻā§°ā§ 2.9 × 10âļ-ā§° āĻāĻŋāϤ⧰āϤ āĻā§āύāĻā§ āĻĄāĻžāĻā§° ?)
Solution:āϏāĻŽāĻžāϧāĻžāύ
- Compare the exponents.(āϏā§āĻāĻ (exponent) āϤā§āϞāύāĻž āĻā§°āĻāĨ¤)
- Since 10âļ > 10âĩ, 2.9 × 10âļ is greater. (āϝāĻŋāĻšā§āϤ⧠10âļ > 10âĩ, āϏā§āϝāĻŧā§ 2.9 × 10âļ āĻĄāĻžāĻā§°āĨ¤)
Ans (āĻāϤā§āϤ⧰): 2.9 × 10âļ
5. Multiply (āĻā§āĻŖāĻĢāϞ āύāĻŋā§°ā§āĻŖāϝāĻŧ āĻā§°āĻ) (2 × 10³)(4 × 10²).
Solution:āϏāĻŽāĻžāϧāĻžāύ
- Multiply the numbers(āϏāĻāĻā§āϝāĻžāĻŦā§ā§° āĻā§āĻŖ āĻā§°āĻ): 2 × 4 = 8
- Add the exponents:(āϏā§āĻāĻāĻŦā§ā§° āϝā§āĻ āĻā§°āĻ): 10³ × 10² = 10âĩ
- Therefore, āϏā§āϝāĻŧā§, (2 × 103)(4 × 102) = 8 × 105
Ans (āĻāϤā§āϤ⧰): 8 × 10âĩ