-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….

• 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.