There are 864,00 seconds in a day. How many days long is a second? Express your answer in scientific notation.

Solution:

Given, there are 864,00 seconds in a day.

We have to express how many days long is a second in scientific notation.

According to the question,

Total seconds in one day = 86400

One second = 1/86400 day

= 0.000011574

Any number can be expressed as decimal numbers between 1 and 10 multiplied by a power of 10. This form of representation is termed as the standard form.

0.000011574 = 1.1574/100000

= 1.1574/10⁵

Using law of exponents,

a⁻ⁿ = 1/aⁿ

1/10⁵ = 10⁻⁵

Now, 1.1574/10⁵ = 1.1574 × 10⁻⁵

Therefore, the required value in standard form is 1.1574 × 10⁻⁵

✦ Try This: There are 864,00 seconds in a day. How many days long is 2 seconds? Express your answer in scientific notation.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 145

There are 864,00 seconds in a day. How many days long is a second? Express your answer in scientific notation.

Summary:

There are 864,00 seconds in a day. A second is 1.1574 × 10⁻⁵ days long.

☛ Related Questions:

• The given table shows the crop production of a State in the year 2008 and 2009. Observe the table gi . . . .
• Stretching Machine: Suppose you have a stretching machine which could stretch almost anything. For e . . . .
• Two machines can be hooked together. When something is sent through this hook up, the output from th . . . .