Question

How many seconds are in72 milliseconds?Give your answer in standard form.Enter

Answer 1

To solve the exercise, we can use a rule of three:

`\begin{gathered} 1\text{ second }\rightarrow1000\text{ milliseconds} \\ x\text{ seconds }\leftarrow\text{ 72 milliseconds} \end{gathered}`
`\begin{gathered} x=\frac{72\text{ milliseconds }\cdot\text{ 1 second}}{1000\text{ milliseconds}} \\ x=\frac{72\cdot\text{ 1 second}}{1000} \\ x=(72\cdot1)/(1000)\text{ seconds} \\ x=(72)/(1000)\text{ seconds} \\ x=0.072\text{ seconds} \end{gathered}`

Now, we convert the above number into standard form. For this, we move the decimal point until there is one digit to the left of the decimal point. The number of decimal places that is shifted will be the exponent by 10. If the decimal is moved to the right, the exponent will be negative.

Then, we have:

Therefore, there are 7.2 x 10⁻² seconds in 72 milliseconds.