order of 4.12× 10 5 is
Answers
Answer:
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Explanation:
43.26
Complete Question: The order of magnitude of 4.12 × 10⁵ is ?
Answer: The order of magnitude of 4.12 × 10⁵ is equal to 10⁶.
Given:
The number is 4.12 × 10⁵
To Find:
The order of magnitude of 4.12 × 10⁵.
Solution:
→ If we write the magnitude of a quantity in its nearest powers of 10, then the nearest value obtained in the powers of 10 is called 'the order of magnitude' of that quantity.
→ The magnitude of a physical quantity, whose order of magnitude is to be determined, is written in the form N × 10ˣ, where 'N' is a number between 1 and 10, and 'x' is a positive or negative integer.
→ If 'N' is equal to or smaller than √10 (approximately equal to 3.16), then the order of magnitude of the quantity is 10ˣ.
→ But, if 'N' is greater than √10 (approximately equal to 3.16), then the order of magnitude of the quantity is .
→ For 4.12 × 10⁵, the value of N = 4.12 and x = 5.
∵ N = 4.12 is greater than 3.16
∴ Order of magnitude of 4.12 × 10⁵ = 10⁵⁺¹ = 10⁶
Therefore the order of magnitude of 4.12 × 10⁵ is equal to 10⁶.
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