order of magnitude of
- 0.99
- 8
- 0.864 x 10^5
- 1496 x 10^8
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Answers
we have to find the order of magnitude of
- 0.99
- 8
- 0.864 × 10^5
- 1496 × 10^8
solution : first of all, let's define order of magnitude,
order of magnitude is a scientific notation of very big or very small number. order of magnitude of a number is the smallest power of 10 used to represent that number.
if a number represent , N = a × 10ⁿ , where 1/√10 ≤ a < √10 then n is known as order of magnitude.
let's find it.
1. 0.99
= 0.99 × 10⁰
here 1/√10 < 0.99 < √10
so, 0 is the order of magnitude of 0.99
2. 8
= 0.8 × 10¹
here, 1/√10 < 0.8 < √10
so, 1 is the order of magnitude of 8
3. 0.864 × 10^5
here, 1/√10 < 0.864 < √10
so, 5 is the order of magnitude of 0.864 × 10^5
4. 1496 × 10^8
= 1.496 × 10¹¹
here 1/√10 < 1.496 < √10
so 11 is the order of magnitude of 1496 × 10^8
Explanation:
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