17/2 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top) and denominator (number below). Here, 17 is the numerator, representing how many parts out of the whole, and 2 is the denominator, showing how many parts make the whole. A decimal is a way to represent the number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 17/2 as a decimal?

$17/2 as a decimal$

Answer

17/2 in decimals can be written as 8.5. It is a terminating decimal since the division comes to an end.

Explanation

To convert 17/2 to decimal, we will use the division method. Here, 17 is larger than 2, so we can divide directly.

Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (2) will be taken as the divisor.

Step 2: Divide 17 by 2. 2 goes into 17 eight times since 2 × 8 = 16.

Step 3: Subtract 16 from 17, which gives a remainder of 1.

Step 4: As the remainder is not zero, add a decimal point in the quotient and bring down a 0, making it 10.

Step 5: Divide 10 by 2, giving 5, since 2 × 5 = 10, leaving a remainder of 0.

This process shows that 17/2 as a decimal is 8.5, which is a terminating decimal.

Important Glossaries for 17/2 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Terminating Decimal: A decimal that ends and does not repeat infinitely.