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Solved: Round the number on the left to the number of significant figures indicated by
Chapter 2, Problem 55P(choose chapter or problem)
Round the number on the left to the number of significant figures indicated by the example in the first row. (Use scientific notation as needed to avoid ambiguity.)
Questions & Answers
QUESTION:
Round the number on the left to the number of significant figures indicated by the example in the first row. (Use scientific notation as needed to avoid ambiguity.)
ANSWER:
Step 1 of 2
First let’s see the rules for significant numbers :
All non-zero digits are considered significant. For example, 81 has two significant figures- 8 and 1, while 123.45 has five significant figures -1, 2, 3, 4 and 5.
Zeros appearing anywhere between two non-zero digits are significant.
Example:
101.1203 has seven significant figures: 1, 0, 1, 1, 2, 0 and 3.
Leading zeros are not significant. For example, 0.00052 has two significant figures: 5 and 2.
Trailing zeros in a number containing a decimal point are significant. For example : 12.2300 has six significant figures: 1, 2, 2, 3, 0 and 0.
The number 0.000122300 still has only six significant figures (the zeros before the 1 are not significant). In addition, 120.00 has five significant figures since it has three trailing zeros.