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Solved: Round the number on the left to the number of significant figures indicated by

Chapter 2, Problem 55P

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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.)

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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.

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