Question

Write each of the following in scientific notation:

a.$55000$

b.$480$

c.$0.000005$

d.$0.00014$

e.$0.0072$

f.$670000$

Short 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$0.000005$is $5.0\times {10}^{-6}$.

d. The scientific notation of$0.00014$is $1.4\times {10}^{-4}$.

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

f. The scientific notation of$670000$is$6.7\times {10}^5$.

Step-by-step solution

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$6.7\times {10}^5$.