Q. 2.30 - 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. $5.08g + 25.1g$

b. $85.66 cm + 104.10 cm +0.025 cm$

c. $24.568 mL - 14.25 mL$

d. $0.2654 L-0.2585 L$

Step-by-Step Solution

Answer

(a)The required answer is, $30.2 g$

(b)The required answer is, $189.79 cm$

(c) The required answer is, $10.32 mL$

(d) The required answer is, $0.0069 L$ 

Part (a) Step 1: Given information

We need to find out the value of $5.08 g+25.1 g$ with correct no. of decimal places 

Part (a) Step 2: Simplify

We know that,

The calculation of $5.08 g+25.1 g$ is, $30.18 g$

But the lowest of decimal places is one

So, the Answer is rounded off to the tenths place

Therefore, the required answer is, $30.2 g$

Part (b) Step 1: Given information

We need to find out the value of $85.66 cm+104.10 cm+0.025 cm$ with correct no. of decimal places  

Part (b) Step 2: Simplify

We know that,

The calculation of $85.66 cm+104.10 cm+0.025 cm$ is, $189.785 cm$

But the lowest of decimal places are two

So, the Answer is rounded off to the hundredths place

Therefore, the required answer is, $189.79 cm$

Part (c) Step 1: Given information

We need to find out the value of $24.568 mL-14.25 mL$with correct no. of decimal places  

Part (c) Step 2: Simplify

We know that,

The calculation of $24.568 mL-14.25 mL$ is, $10.318 mL$

But the lowest of decimal places are two

So, the Answer is rounded off to the hundredths place

Therefore, the required answer is, $10.32 mL$

Part (d) Step 1: Given information

We need to find out the value of $0.2654 L-0.2585 L$ with correct no. of decimal places    

Part (d) Step 2: Simplify

We know that,

The calculation of $0.2654 L-0.2585L$ is, $0.0069 L$

But the lowest of decimal places are four

So, the Answer is rounded off to the ten-thousandths place

Therefore, the required answer is, $0.0069$