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116 LearnersLast updated on March 3rd, 2025
13/10 as a Decimal
This is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), which in this case is 13, representing how many parts out of the whole, and the denominator (number below), which is 10, showing how many parts make up the whole. 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, and those to the right represent the fractional part.
What is 13/10 as a decimal?
Answer
13/10 in decimal form can be written as 1.3. It is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To convert 13/10 into a decimal, we use the division method. Since 13 is greater than 10, we can directly perform the division to get a decimal. Let's break down the step-by-step process:
Step 1: Identify the numerator and denominator. Here, the numerator (13) will be taken as the dividend, and the denominator (10) will be taken as the divisor.
Step 2: Divide 13 by 10. Since 13 is greater than 10, we can directly perform this division.
Step 3: 10 fits into 13 once, so we write 1 in the quotient place. This leaves a remainder of 3.
Step 4: Bring down a zero to make the remainder 30.
Step 5: 10 fits into 30 three times exactly, so we write 3 in the quotient place. Since there is no remainder left, the process stops here.
The answer for 13/10 as a decimal is 1.3.
Important Glossaries for 13/10 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. --- This content maintains the structure and format of your original content while focusing on the new topic of converting 13/10 to a decimal.
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