No, the doctor did not make any mistake by writing 67.2 pounds from the scale reading of 67.20 because the zero after the decimal point has no significance if there is no non-zero digit after the zero.
Given,
The scale read 67.20 pounds and the doctor wrote 67.2 pounds.
We need to see whether the doctor made a mistake by writing 67.2 pounds instead of 67.20 pounds.
If a zero is found between significant digits, it is significant.
E.g - 9003.
If a zero is located to the left of the first non-zero digit, it is not significant.
E.g - 000456.
If only zero is trailing after the decimal point then it is significant.
E.g. - 7.00.
If a zero is located before or after the decimal, it is not significant.
E.g. - 0.08.
If there is a zero after the decimal point and there is a non-zero digit after and before the zero, then it is significant.
E.g - 2.06
If a zero is located after a decimal point and there is no non-zero digit after the zero, it is not significant.
E.g - 2.680, 1.60, 23.600.
If a zero is trailing a non-zero digit and there is no decimal point, it is not significant.
E.g. - 5200.
On the scale reading of 67.20 pounds, we see that there is a zero after the decimal point and there is no non-zero digit after the zero.
So we can say that the zero in 67.20 has no significance.
The doctor did not make any mistake by writing 67.2 pounds instead of 67.20 pounds.
Learn more about the writing values from scale here:
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