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105 LearnersLast updated on March 17th, 2025
-3 8/9 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn mixed numbers, fractions, and decimals. A mixed number represents a whole number combined with a fraction. A fraction, like 8/9, represents a part of a whole. The numerator (number on the top), 8 here, represents how many parts are being considered out of the whole. The denominator (number below) shows how many parts make up the whole, here it is 9. 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is -3 8/9 as a decimal?
Answer
-3 8/9 in decimal can be written as -3.8888…. It is a recurring decimal, meaning it will repeat the same digit infinitely.
Explanation
To convert -3 8/9 to a decimal, we first convert 8/9 to a decimal using division. Then, we combine it with the whole part -3. Let's break down the process step by step:
Step 1: Identify the whole number and the fraction part. Here, -3 is the whole number, and 8/9 is the fraction.
Step 2: Convert the fraction 8/9 into a decimal. As 8 is smaller than 9, we will use the division method to convert it, which will give us approximately 0.8888….
Step 3: To convert 8/9 to a decimal, identify 8 as the numerator (dividend) and 9 as the denominator (divisor).
Step 4: Since 8 is less than 9, add a decimal point and zero to 8, making it 80. Divide 80 by 9.
Step 5: 80 divided by 9 gives 8. 9 * 8 = 72. Subtract 72 from 80 to get 8.
Step 6: Bring down another 0, making it 80 again, and repeat the division process. This gives us a recurring decimal of 0.8888….
Step 7: Combine -3 with 0.8888… to get -3.8888….
The answer for -3 8/9 as a decimal is -3.8888….
Important Glossaries for -3 8/9 as a decimal
- Mixed Number: A number consisting of an integer and a proper fraction.
- 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.
- Recurring Decimal: A decimal fraction in which a digit or group of digits repeats infinitely.
- Division: A mathematical operation where a number is divided into equal parts.
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