17 minutes as a decimal

Answer

17 minutes as a decimal of an hour can be written as 0.2833... This is a recurring decimal, indicating that the digits following the decimal point repeat infinitely.

Explanation

To convert 17 minutes into a decimal, we will use division. Since there are 60 minutes in an hour, 17 minutes is a fraction of an hour. Let's break down the process step by step:

Step 1: Recognize that 17 minutes is the numerator (part) and 60 minutes (whole hour) is the denominator.

Step 2: Divide 17 by 60 to see how much of an hour 17 minutes represents.

Step 3: Perform the division: 17 ÷ 60 = 0.2833...

Step 4: The result shows that 17 minutes is approximately 0.2833 hours, with the decimal repeating.

Step 5: As the division does not result in a remainder of 0, this is a recurring decimal.

The answer for 17 minutes as a decimal is 0.2833...

• Minutes: A unit of time equal to 1/60th of an hour.

• Decimal: A numerical representation that uses base ten and includes a decimal point to separate the whole part from the fractional part.

• Recurring Decimal: A decimal in which one or more digits repeat infinitely.

• Division: A mathematical operation where the dividend is divided by the divisor to find the quotient.

• Numerator and Denominator: Parts of a fraction where the numerator is the part being considered, and the denominator is the whole.