Q. 2.24 - An Introduction to General, Organic, and Biological Chemistry

Question

Round off each of the calculator answers in problem $2.23$ to two significant figures.

Step-by-Step Solution

Answer

The round-off values of problem $2.23$, round off the value of $1.854 kg$ is $1.9 kg$, $88.2038 kg$ is $88 kg$, $0.0004 738 265 cm$ is $0.0047 cm$, $8807 m$ is $8800 m$ and $1.832\times {10}^5$ is$1.8\times {10}^5$.

Step 1: Given Information

We need to round off each of the calculator values in the problem $2.23$ to two significant figures.

Step 2: Simplify

Following the basic rules, first, if the first digit which dropped is less than it and all following digits are simply dropped from the number.

And second, if the first digit to be dropped is $5$ or more, then the last retained digit of that number will be increased by $1$.

(a) $1.854 kg$

The round off of the number is $1.9 kg$.

(b) $88.2038 kg$

The round off of the number is $88 kg$.

(c) $0.004 738 265 cm$

The round off of the number is $0.0047 cm$.

(d) $8807 m$

The round off of the number is $8807 m$.

(e) $1.832\times {10}^5$

The round off of the number is $1.8\times {10}^5$.