Question

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

a.$0.0042$

b.$310$

C.$890000000$

d.$0.000000056$

Short 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 $890000000$is $8.9\times {10}^8$.

d. The scientific notation of$0.000000056$is$5.6\times {10}^{-8}$.

Step-by-step solution

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 $890000000$.

Part (c) step 2: Calculation

Now, finding the scientific notation

$890000000=8.9\times {10}^8$

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

Part (d) step 1: Given Information 

We need to find the scientific notation for$0.000000056$.

Part (d) step 2: Calculation

Now, finding the scientific notation

$0.000000056=5.6\times {10}^{-8}$

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