Q. 2.11 - An Introduction to General, Organic, and Biological Chemistry

Question

In which of the following pairs do both numbers contain the same number of significant figures?

 a.$11.0 \mathrm{m} \mathrm{and} 11.00 \mathrm{m}$ 

 b. $0.250 \mathrm{m} \mathrm{and} 0.205 \mathrm{m}$
c. $0.00012 \mathrm{s} \mathrm{and} 12000 \mathrm{s}$

 d. $250 \mathrm{L} \mathrm{and} 2.50\times {10}^{-2 } \mathrm{L}$

Step-by-Step Solution

Answer

Part b and part c both are the same significant figures.

Part (a) step 1: Given Information

We need to find that does the both numbers contain same significant figures or not.

Part (a) step 2: Explanation

Referring to the rules in the significant figure as summarized by the table : $2.2$

There $11.0$ has three significant figures- the nonzero digit and the zero at the end. The other number $11.00$ have four significant figures-  the nonzero digit and the zero at the end. The two number is not the same numbers of significant figures-.

Part (b) step 1: Given Information

We need to find that does the both numbers contain same significant figures or not.

Part (b) step 2: Explanation

Referring to the rules in the significant figure as summarized by the table:$2.2$

There $0.0250$ has three significant figures- the nonzero digit and the zero at the end. The other number $0.205$ have also three significant figures- the nonzero digit and the zero in between nonzero digits.. The two numbers is the same number of significant figures-.

Part (c) step 1: Given Information

We need to find that does the both numbers contain same significant figures or not.

Part (c) step 2: Explanation

Referring to the rules in the significant figure as summarized by the table:$2.2$

There $0.00012$ has two significant figures- the nonzero digit and all the other zero are place holders. The other number $12000$ have also two significant figures- the nonzero digit and the all the other zero are place holders. The two numbers is the same number of significant figures-.

Part (d) step 1: Given Information

We need to find that does the both numbers contain same significant figures or not.

Part (d) step 2: Explanation

Referring to the rules in the significant figure as summarized by the table:$2.2$

There $250 L$ has four significant figures- the nonzero digit and the zero at the end. The other number $2.50\times {10}^{-2 } \mathrm{L}$ have two significant figures- the nonzero digit. The two number is not the same numbers of significant figures-.