QuestionCount the significant figures in 9020.0.
Studdy Solution
STEP 1
Assumptions1. We are asked to find the number of significant figures in the number9020.0. We know that non-zero digits are always significant3. Any zeros between significant digits are significant4. Leading zeros are not significant5. Trailing zeros in a number with a decimal point are significant
STEP 2
First, we identify the non-zero digits in the number. These are always significant.
The non-zero digits in9020.0 are9,2.
STEP 3
Count the number of non-zero digits.
There are2 non-zero digits in9020.0.
STEP 4
Next, we identify any zeros between significant digits. These are also significant.
There are no zeros between significant digits in9020.0.
STEP 5
Count the number of zeros between significant digits.
There are0 zeros between significant digits in9020.0.
STEP 6
Next, we identify any trailing zeros in the number. If the number has a decimal point, these zeros are significant.
The trailing zeros in9020.0 are the three zeros after the2 and the zero after the decimal point.
STEP 7
Count the number of trailing zeros.
There are4 trailing zeros in9020.0.
STEP 8
Finally, we add up the number of non-zero digits, zeros between significant digits, and trailing zeros to find the total number of significant figures.
STEP 9
Plug in the values for the number of non-zero digits, zeros between significant digits, and trailing zeros to calculate the number of significant figures.
STEP 10
Calculate the number of significant figures.
The number9020.0 has6 significant figures.
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