Q. 1.48 - An Introduction to General, Organic, and Biological Chemistry

Question

Write each of the following in scientific notation:$\left(1.5\right)$

a. $0.0042$ 

b. $310$

C. $890 000 000$

d. $0.000 000 056$

Step-by-Step Solution

Answer

a. The scientific notation of $0.0042$is $4.2\times {10}^{-3}$.

b. The scientific notation of  $310$ is $3.1\times {10}^2$.

c. The scientific notation of  $890 000 000$ is $8.9\times {10}^8$.

d. The scientific notation of $0.000 000 056$ is $5.6\times {10}^{-8}$.

Part (a) step 1: Given Information

We need to find the scientific notation for $0.0042$.

Part (a) step 2: Calculation

Now, finding the scientific notation 

$0.0042=4.2\times {10}^{-3}$

So, the the scientific notation is $4.2\times {10}^{-3}$.

Part (b) step 1: Given Information

We need to find the scientific notation for $310$.

Part (b) step 2: Calculation

Now, finding the scientific notation

$310=3.1\times {10}^2$

So, the scientific notation is $3.1\times {10}^2$.

Part (c) step 1: Given Information

We need to find the scientific notation for $890 000 000$.

Part (c) step 2: Calculation

Now, finding the scientific notation

$890 000 000=8.9\times {10}^8$

So,  the scientific notation is $8.9\times {10}^8$.

Part (d) step 1: Given Information

We need to find the scientific notation for $0.000 000 056$.

Part (d) step 2: Calculation

Now, finding the scientific notation

$0.000 000 056=5.6\times {10}^{-8}$

So, the scientific notation is $5.6\times {10}^{-8}$.