Q. 1.26 - An Introduction to General, Organic, and Biological Chemistry

Question

 Write each of the following in scientific notation: 

a. $180 000 000$

b.  $0.000 06$

c. $750$

d. $0.15$

e. $0.024$

f. $1500$

Step-by-Step Solution

Answer

a. The scientific notation of $180 000 000$ is $1.8\times {10}^8$.

b. The scientific notation of  $0.000 06$ is $6.0\times {10}^{-5}$.

c. The scientific notation of  $750$ is $7.5\times {10}^2$.

d. The scientific notation of   $0.15$ is $1.5\times {10}^{-1}$.

e. The scientific notation of  $0.024$ is $2.4\times {10}^{-2}$.

 f. The scientific notation of  $1500$ is $1.5\times {10}^3$.

Part (a) step 1: Given Information

We need to write $180 000 000$ in scientific notation.

Part (a) step 2: Calculation

Now,

$180000000=1.8\times {10}^8$

So, The scientific notation is $1.8\times {10}^8$.

Part (b) step 1: Given Information

We need to write $0.000 06$ in scientific notation.

Part (b) step 2: Calculation

Now, 

$0.000 06=6.0\times {10}^{-5}$

So, The scientific notation is  $6.0\times {10}^{-5}$.

Part (c) step 1: Given Information

We need to write$750$ in scientific notation.

Part (c) step 2: Calculation

Now,

$750=7.5\times {10}^2$

So, The scientific notation is $7.5\times {10}^2$.

Part (d) step 1: Given Information

We need to write $0.15$in scientific notation.

Part (d) step 2: Calculation

Here,

$0.15=1.5\times {10}^{-1}$

Therefore, The scientific notation is $1.5\times {10}^{-1}$.

Part (e) step 1: Given Information

We need to write $0.024$ in scientific notation.

Part (e) step 2: Calculation

Here,

$0.024=2.4\times {10}^{-2}$

Therefore, The scientific notation is  $2.4\times {10}^{-2}$.

Part (f) step 1: Given Information

We need to write $1500$in scientific notation.

Part (f) step 2: Calculation

Here,

$1500=1.5\times {10}^3$

Therefore,  The scientific notation is  $1.5\times {10}^3$.