Q. 2.29 - An Introduction to General, Organic, and Biological Chemistry

Question

Perform each of the following calculations, and give an answer with the correct number of decimal places:

a. $45.48 cm+8.057 cm$ 

b. $23.45 g+104.1 g+ 0.025 g$

c. $145.675 mL-24.2 mL$

d. $1.08 L-0.585 L$

Step-by-Step Solution

Answer

(a) The required answer is, $53.54 cm$

(b) The required answer is, $127.6 g$

(c) The required answer is, $121.5 mL$

(d) The required answer is,  $0.50 L$

Part (a) Step 1: Given information

We need to find out the value of $45.48 cm+8.057 cm$ with correct no. of decimal places  

Part (a) Step 2: Simplify

We know that,

The calculation of $45.48 cm+8.057 cm$ is, $53.537 cm$

But the lowest of decimal places are two

So, the Answer is rounded off to the hundredths place

Therefore, the required answer is, $53.54 cm$

Part (b) Step 1: Given information

We need to find out the value of $23.45 g+104.1 g+0.025 g$ with correct no. of decimal places  

Part (b) Step 2: Simplify

We know that,

The calculation of $23.45 g+104.1 g+0.025 g$ is, $127.575 g$

But the lowest of decimal places is one

So, the Answer is rounded off to the tenths place

Therefore, the required answer is, $127.6 g$

Part (c) Step 1: Given information

We need to find out the value of $145.675 mL-24.2 mL$with correct no. of decimal places   

Part (c) Step 2: Simplify

We know that,

The calculation of $145.675 mL-24.2 mL$ is, $121.475 mL$

But the lowest of decimal places is one

So, the Answer is rounded off to the tenths place

Therefore, the required answer is, $121.5 mL$

Part (d) Step 1: Given information

We need to find out the value of $1.08 L-0.585 L$ with correct no. of decimal places 

Part (d) Step 2: Simplify

We know that,

The calculation of $1.08 L-0.585 L$ is, $0.495 L$

But the lowest of decimal places are two

So, the Answer is rounded off to the hundredths place

Therefore, the required answer is, $0.50 L$