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Significant figures simply mean the count of non-zero digits and zeros between non-zero digits.

The error interval of x is [tex]150 \le x < 250[/tex]

First, we get the smallest and highest digits that can be approximated to 200

  • The smallest digit that can be approximated to 200 is 150
  • The highest digit that can be approximated to 200 is 249.9...

249.9.... can simply be represented as less than 250

So, we have:

[tex]Smallest = 150[/tex]

[tex]Largest < 250[/tex]

The interval is then represented as:

[tex]Smallest \le x < Largest[/tex]

So, we have:

[tex]150 \le x < 250[/tex]

Hence, the error interval is: [tex]150 \le x < 250[/tex]

Read more about significant figures at:

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