QuestionHow many significant figures are in the result of $204 m \div 6 m$ ?

Studdy Solution

STEP 1

Assumptions1. We are asked to find the number of significant figures in the result of the division $204 m \div6 m$ . . We are assuming that all given numbers are measured values and therefore all digits are significant.

STEP 2

First, we need to perform the division operation.
$Result = \frac{204 m}{6 m}$

STEP 3

Calculate the result of the division.
$Result = \frac{204 m}{6 m} =34$

STEP 4

Now, we need to determine the number of significant figures in the result. Significant figures in a number are digits that carry meaningful information about its precision. In this case, both numbers before the division had three significant figures (204 and6), but the rules for division and multiplication state that the result should have as many significant figures as the number with the least significant figures.
$Number\, of\, significant\, figures =1$ The number34 has two significant figures, but according to the rules of significant figures, our result should only have one significant figure because the number with the least significant figures in our original problem (6) has only one significant figure.

STEP 5

Therefore, we need to round our result to one significant figure. The number34 rounded to one significant figure is30.
$Rounded\, result =30$ So, the result of the division $204 m \div m$ has one significant figure and the value is30.

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