QuestionTrue or False: The number 0.07010 has four significant figures.
Studdy Solution
STEP 1
Assumptions1. We are asked to determine if the number0.07010 contains four significant figures. . We understand that significant figures are digits in a number that contribute to its measurement resolution. They include all non-zero digits, zeroes between non-zero digits, and trailing zeroes in the decimal portion.
STEP 2
Let's analyze the number0.07010.
STEP 3
The first two zeroes after the decimal point are leading zeroes. They are not considered significant because they merely indicate the position of the decimal point.
STEP 4
The next digit,7, is a non-zero digit and is therefore considered significant.
STEP 5
The zero following the7 is between significant figures and is therefore significant.
STEP 6
The final digit,1, is a non-zero digit and is therefore considered significant.
STEP 7
The last zero is a trailing zero in the decimal portion, so it is considered significant.
STEP 8
Now, let's count the significant figures in the number0.07010.
STEP 9
Counting the significant figures, we have7, (between significant figures),, and (trailing zero in the decimal portion). This gives us a total of4 significant figures.
Therefore, the statement "The number.070 contains four significant figures" is True.
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