Compare 5 \Xd7 10^10 And 8.3 X 10^9, Can You Use An Explanation Of The Comparison? How Much Bigger Is It? 1x Or 10x?

Compare 5 × 10^10 and 8.3 x 10^9

Can you use an explanation of the comparison? How much bigger is it? 1x or 10x?

 

Answer:

5 × 10¹⁰  is  4.17 × 10¹⁰ bigger than 8.3 × 10⁹ .

Step-by-step explanation:

Convert to like terms, that is, with same scientific notation 10⁹:

5 × 10¹⁰  ⇒  50 × 10⁹

Compare:

50 × 10⁹ > 8.3 × 10⁹

To find how much bigger (now how many times bigger), subtract:

(50 - 8.3) × 10⁹ = 41.7 × 10⁹

Change to proper scientific notation form:

41.7 × 10⁹  ⇒ 4.17 × 10¹⁰

5 × 10¹⁰  is  4.17 × 10¹⁰ bigger  than 8.3 × 10⁹ .


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