14/100 as a Decimal

Professor Greenline Explaining Math Concepts

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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 of the whole. It has two parts: the numerator (number on the top), here 14, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here it is 100. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole part, and those to the right represent the fractional part.

What is 14/100 as a decimal?

$14/100 as a decimal$

Answer

14/100 in decimal form is 0.14. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 14/100 to a decimal, we use the division method. Here, as 14 is smaller than 100, we will use the decimal method, which gives us 0.14. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (14) will be taken as the dividend and the denominator (100) will be taken as the divisor.

Step 2: Since 14 is smaller than 100, it can't be divided into a whole number, so we will use decimals. We will add 0 to the dividend, making it 140, and add a decimal point in the quotient place.

Step 3: Now that it is 140, we can divide it by 100 to get the quotient.

Step 4: 100 goes into 140 once, so 1 is written in the quotient place. Subtract 100 from 140 to get 40.

Step 5: Bring down another 0, making it 400, and repeat the division process.

Step 6: 100 goes into 400 four times, so 4 is written in the quotient place, and subtracting 400 from 400 gives 0 as the remainder.

The division concludes here, and the answer for 14/100 as a decimal is 0.14.

Important Glossaries for 14/100 as a decimal

Fraction: A numerical value that represents a part of a whole.
Decimal: A number that includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating the number of parts 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.