Math

QuestionFind the significant digits in the measurement 800ft800 \mathrm{ft}.

Studdy Solution

STEP 1

Assumptions1. The measurement is 800ft800 \mathrm{ft}. . We are asked to determine the number of significant digits in the measurement.
3. In significant figures, non-zero digits are always significant. Any zeros between significant digits are significant. Leading zeros are not significant. Trailing zeros in a number containing a decimal point are significant.

STEP 2

Let's identify the non-zero digits in the measurement.
In our measurement, 800ft800 \mathrm{ft}, the non-zero digit is 88.

STEP 3

Next, let's identify any zeros between significant digits.
In our measurement, 800ft800 \mathrm{ft}, there are no zeros between significant digits.

STEP 4

Now, let's identify any leading zeros.
In our measurement, 800ft800 \mathrm{ft}, there are no leading zeros.

STEP 5

Finally, let's identify any trailing zeros in a number containing a decimal point.
In our measurement, 800ft800 \mathrm{ft}, there are two trailing zeros, but the number does not contain a decimal point, so these zeros are not significant.

STEP 6

Add up the number of significant digits identified in the previous steps.
In our measurement, 800ft800 \mathrm{ft}, there is one non-zero digit, no zeros between significant digits, no leading zeros, and no trailing zeros in a number containing a decimal point. Therefore, the number of significant digits is 11.
The number of significant digits in the measurement 800ft800 \mathrm{ft} is 11.

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