Question

Write each of the following in scientific notation:

a.$180000000$

b.role="math" localid="1651824402692" $0.00006$

c.$750$

d.$0.15$

e.$0.024$

f.$1500$

Short answer

a. The scientific notation of $180000000$is$1.8\times {10}^8$.

b. The scientific notation of $0.00006$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$1.5\times {10}^3$.

Step-by-step solution

Part (a) step 1: Given Information

We need to write$180000000$ 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 $0.00006$in scientific notation.

Part (b) step 2: Calculation

Now,

$0.00006=6.0\times {10}^{-5}$

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 $1.5\times {10}^3$.