Question
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The number 9080000 written in scientific notation to the correct number of
significant figures is




None of these.

Ask by Robbins Delgado. in the United States
Mar 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The correct scientific notation with four significant figures is .

Solution

To convert the number 9080000 into scientific notation with the correct number of significant figures, we need to follow these steps:
  1. Identify the significant figures in the number 9080000.
  2. Write the number in scientific notation.

Step 1: Identify Significant Figures

The number 9080000 has four significant figures (9, 0, 8, and the trailing zeros are significant because they are to the right of a non-zero digit).

Step 2: Write in Scientific Notation

To express 9080000 in scientific notation, we move the decimal point to the left until we have a number between 1 and 10.
This gives us:
Now, let’s check the options provided:
  • (5 significant figures)
  • (2 significant figures)
  • (2 significant figures)
  • (4 significant figures)
  • None of these.
  • (4 significant figures)
The correct answer is as it maintains the correct number of significant figures.

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Bonus Knowledge

Did you know that scientific notation was developed to handle very large or small numbers more easily? It provides a shorthand way to express these values, making calculations less cumbersome. For example, instead of writing out the entire number, you can simply refer to its significant figures and power of ten, which is super helpful in fields like science, engineering, and finance!
When converting to scientific notation, always pay careful attention to significant figures. In the case of 9080000, the original number has four significant figures (the non-zero digits you can read). Therefore, the correct scientific notation is . A common mistake is to incorrectly round or miscount significant figures, so double-check your work, especially with trailing zeros!

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