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Last updated on March 4th, 2025
This is a simple question about converting time to a decimal. Understanding both time and decimal representation is crucial. Time is often measured in minutes and hours, and converting it to a decimal is useful in various calculations. A decimal separates the whole part of a number from its fractional part using a point (.), with the whole number on the left and the fractional part on the right.
10 minutes as a decimal of an hour can be written as 0.1666… It is a recurring decimal, indicating it repeats the same digit infinitely.
To convert 10 minutes into a decimal, we use division. Since there are 60 minutes in an hour, we divide 10 by 60. Let's break down the process step by step:
Step 1: Identify the number of minutes (10) and the total minutes in an hour (60).
Step 2: Divide 10 by 60. Since 10 is smaller than 60, we use decimals.
Step 3: We set up the division as 10.0 divided by 60, adding a decimal point in the quotient.
Step 4: 10 divided by 60 gives 0.1666..., as 60 does not divide evenly into 10.
Step 5: The process shows that 10 minutes as a decimal of an hour is 0.1666…, a recurring decimal.