The addition of (100 + 0.32 + 0.05) with correct significant figures is
100.37
100.4
0 100.3
100
Answers
Given : 100 + 0.32 + 0.05
To Find : The addition of (100 + 0.32 + 0.05) with correct significant figures
100.37
100.4
100.3
100
Solution:
All non-zero digits are significant.
The leftmost nonzero digit is the first or most significant figure.
If there is a decimal point, the rightmost digit is the last or least significant figure
If there is no decimal point explicitly shown, the rightmost non-zero digit is the least significant figure
All digits between the most significant figure and the least significant figure are significant.
Count the number of significant figures in the decimal portion of each number
100 has 0 significant figures as no decimal
0.32 has 2 significant figures
0.05 has 1 significant figures
Least significant figures = 0
100 + 0.32 + 0.05
= 100.37
= 100 with Least significant figures = 0 after decimal
( the accuracy of the final answer can be no greater than the least accurate measurement )
Hence The addition of (100 + 0.32 + 0.05) with correct significant figures = 100
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