How Many Seconds Are There in a Day?

Answer – There are 86,400 seconds in one day.

Explanation:

To calculate how many seconds there are in one day, we need to employ a few simple conversions involving the units of time.

We know that:

One day has 24 hours ⇒ $\frac{24 h o u r s}{1 d a y}$

One hour has 60 minutes ⇒ $\frac{60 m i n u t e s}{1 h o u r}$

One minute has 60 seconds ⇒ $\frac{60 s e c o n d s}{1 m i n u t e}$

So the number of seconds in a day is simply the product of all the above fractions:

$\frac{24 h o u r s}{1 d a y} \times \frac{60 m i n u t e s}{1 h o u r} \times \frac{60 s e c o n d s}{1 m i n u t e}$

$= 24 \times 60 \times 60 s e c o n d s / d a y$ (All units except seconds in the numerator and day in the denominator cancel out)

$= 86, 400 s e c o n d s / d a y$

Textbook Solutions

Arithmetic Math Time

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