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83 1/3 as a Decimal
This is a simple question on decimal conversion. To convert a mixed number into a decimal, we need to understand both whole numbers and fractions. A mixed number like 83 1/3 consists of a whole number (83) and a fraction (1/3). A decimal is a way to express numbers that are not whole; it uses 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, while those to the right represent the fractional part.
What is 83 1/3 as a decimal?
Answer
83 1/3 in decimal form is 83.33333… It is a recurring decimal, meaning that it repeats the same digit indefinitely.
Explanation
To convert 83 1/3 into a decimal, we first need to convert the fractional part (1/3) into a decimal. Let's break down the process step by step:
Step 1: Identify the numerator and denominator of the fraction. Here, the numerator (1) is the dividend, and the denominator (3) is the divisor.
Step 2: Because 1 is smaller than 3, we use the decimal method to perform the division, which will yield 0.3333…
Step 3: Convert the whole number part, 83, into a decimal, which remains 83.
Step 4: Combine the whole number part and the fractional decimal part. Add 0.3333… to 83, resulting in 83.3333… The division process for the fraction continues indefinitely, making it a recurring decimal.
Important Glossaries for 83 1/3 as a decimal
- Mixed Number: A number consisting of an integer and a fraction.
- Fraction: A numerical quantity 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.
- Recurring Decimal: A decimal in which one or more digits repeat infinitely.
- Whole Number: A number without fractions; an integer.
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