Q. 1.25 - An Introduction to General, Organic, and Biological Chemistry

Question

Write each of the following in scientific notation: 

a. $55000$

b. $480$

c. $0.000 005$

d. $0.000 14$

e. $0.0072$

f. $670 000$

Step-by-Step Solution

Answer

a. The scientific notation of $55000$ is $5.5\times {10}^4$.

b. The scientific notation of$480$ is $4.8\times {10}^2$.

c. The scientific notation of$0.000 005$ is $5.0\times {10}^{-6}$.

d. The scientific notation of$0.000 14$ is $1.4\times {10}^{-4}$.

e. The scientific notation of  $0.0072$ is $7.2\times {10}^{-3}$.

f. The scientific notation of $670 000$ is $6.7\times {10}^5$.

Part (a) step 1: Given Information

We need to write $55000$ in scientific notation.

Part (a) step 2: Calculation

Here,

$55000=5.5\times {10}^4$

So, The scientific notation is $5.5\times {10}^4$.

Part (b) step 1: Given Information

We need to write $480$ in scientific notation.

Part (b) step 2: Calculation

Here,

$480=4.8\times {10}^2$

So, The scientific notation is $4.8\times {10}^2$.

Part (c) step 1: Given Information

We need to write $0.000005$ in scientific notation.

Part (c) step 2: Calculation

Here, 

$0.000005=5.0\times {10}^{-6}$

So, The scientific notation is $5.0\times {10}^{-6}$.

Part (d) step 1: Given Information

We need to write $0.00014$ in scientific notation.

Part (d) step 2: Calculation

Now,

$0.0004=1.4\times {10}^{-4}$

Therefore, The scientific notation is $1.4\times {10}^{-4}$.

Part (e) step 1: Given Information

We need to write $0.0072$ in scientific notation.

Part (e) step 2: Calculation

Now,

$0.0072=7.2\times {10}^{-3}$

Therefore, The scientific notation is $7.2\times {10}^{-3}$.

Part (f) step 1: Given Information

We need to write  $670000$in scientific notation 

Part (f) step 2: Calculation

Now,

$670000=6.7\times {10}^5$

Therefore, The scientific notation is $6.7\times {10}^5$.