-8 7/9 as a Decimal

Answer

-8 7/9 in decimals can be written as -8.77777… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert -8 7/9 to a decimal, we can break it into two parts: the whole number (-8) and the fractional part (7/9). Let's see the step-by-step breakdown of converting 7/9:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (9) as the divisor.

Step 2: As 7 is smaller than 9, we take the help of the decimal method. We add 0 to the dividend, making 7 as 70, and add a decimal point in the quotient place.

Step 3: Now that it is 70, we can divide it by 9. Let's see how many times 9 makes 70.

Step 4: 70 is not a multiple of 9, so we look for the nearest number that is 9 x 7 = 63. We write 7 in the quotient place, and subtracting 63 from 70 gives 7.

Step 5: Bring down another 0 in the dividend place, making 7 as 70, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for -8 7/9 as a decimal will be -8.7777...

• Mixed Number: A whole number combined with a fraction, representing a sum of both.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.
   
• 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.